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Electronic Measurements and Instruments (4331102) - Summer 2025 Solution

26 mins· ·
Study-Material Solutions Electronic-Measurements 4331102 2025 Summer
Milav Dabgar
Author
Milav Dabgar
Experienced lecturer in the electrical and electronic manufacturing industry. Skilled in Embedded Systems, Image Processing, Data Science, MATLAB, Python, STM32. Strong education professional with a Master’s degree in Communication Systems Engineering from L.D. College of Engineering - Ahmedabad.
Table of Contents

Question 1(a) [3 marks]
#

Define Accuracy, Precision, and Sensitivity.

Answer:

  • Accuracy: The closeness of a measured value to the actual or true value of a quantity.
  • Precision: The ability of an instrument to reproduce the same output reading when the same input is applied repeatedly under the same conditions.
  • Sensitivity: The ratio of change in output of an instrument to the change in input, indicating how much output changes for a small change in input.

Table: Differences between Accuracy and Precision

ParameterAccuracyPrecision
DefinitionCloseness to true valueRepeatability of measurement
Focus onCorrectnessConsistency
RepresentationBulls-eye center hitsClustered hits

Mnemonic: “APS - Accuracy Pinpoints truth, Precision Shows repeatability, Sensitivity Signals small changes”

Question 1(b) [4 marks]
#

Describe the working and limitations of the Wheatstone bridge with circuit diagram.

Answer:

Working: The Wheatstone bridge measures unknown resistance by balancing two legs of a bridge circuit.

Circuit Diagram:

graph TD
    A[Battery] --> B[Point A]
    A --> C[Point C]
    B --> D[Point B]
    B --> E[Point D]
    C --> E
    C --> F[Point C]
    D --- G[Galvanometer]
    F --- G
    B -- R1 --- D
    D -- R2 --- C
    B -- R3 --- F
    F -- Rx --- C

When bridge is balanced: R1/R2 = R3/Rx, so Rx = R3×(R2/R1)

Limitations:

  • Limited range: Not suitable for very low or very high resistances
  • Temperature effects: Resistance changes with temperature
  • Battery errors: Output voltage must remain stable
  • Galvanometer sensitivity: Limited by detector sensitivity

Mnemonic: “BALR - Balance is key, Adjust until null, Low/high resistances problematic, Range is limited”

Question 1(c) [7 marks]
#

Explain various transducers used for temperature measurement. Explain the construction and working of the following in detail: (i) Thermocouple (ii) Thermistor.

Answer:

Temperature Transducers Types:

TypeWorking PrincipleRangeAdvantagesDisadvantages
ThermocoupleSeebeck effect-270°C to 2300°CWide range, robustNonlinear, reference needed
ThermistorResistance change-50°C to 300°CHigh sensitivityNonlinear, limited range
RTDResistance change-200°C to 850°CHigh accuracy, linearExpensive, self-heating
IC SensorsSemiconductor-55°C to 150°CLinear output, easy interfaceLimited range

(i) Thermocouple:

Construction: Two dissimilar metal wires (like copper-constantan or iron-constantan) joined at one end to form measuring junction and other ends connected to measuring instrument.

graph LR
    A[Metal A] --- B[Measuring Junction]
    C[Metal B] --- B
    A --- D[Reference Junction]
    C --- D
    D --- E[Measuring Instrument]

Working: When junctions are at different temperatures, a small voltage proportional to temperature difference is generated (Seebeck effect).

Key Points:

  • Seebeck effect: Temperature difference creates voltage
  • Cold junction compensation: Required for accuracy
  • Types: J, K, T, E based on metal combinations

(ii) Thermistor:

Construction: A semiconductor material (metal oxides like manganese, nickel, cobalt) shaped into a bead, disk, or rod with two lead wires.

LeadSWeiCmreiercBaoomndidycucotrorLeadWire

Working: Resistance decreases as temperature increases (NTC type) or increases with temperature (PTC type).

Key Points:

  • NTC (Negative Temperature Coefficient): Most common type
  • High sensitivity: Large resistance change for small temperature change
  • Nonlinear response: Requires linearization circuits
  • Self-heating: Current passing through it causes heating

Mnemonic: “TRIP - Thermocouples React to junction differences, Thermistors Intensely change resistance, Point sensors at what you measure”

Question 1(c) OR [7 marks]
#

Explain the working principles of the following sensors: Temperature sensor, Gas sensor, Humidity sensor and Proximity sensor.

Answer:

Comparison of Sensors:

Sensor TypeWorking PrincipleOutputApplications
TemperatureResistance/voltage changeAnalog/DigitalHVAC, Medical devices
GasChemical reactionResistance changeSafety systems, Air quality
HumidityCapacitance/resistance changeAnalogWeather stations, HVAC
ProximityElectromagnetic field disruptionDigitalAutomation, Security

1. Temperature Sensor (LM35):

  • Principle: Semiconductor junction voltage varies with temperature
  • Working: Integrated circuit provides output voltage proportional to temperature (10mV/°C)
  • Features: Linear output, no external calibration needed

2. Gas Sensor (MQ-2):

  • Principle: Chemical reaction between gas and sensing material
  • Working: Gas molecules interact with metal oxide semiconductor, changing its resistance
  • Detection: When gas concentration exceeds threshold, output voltage changes
graph TD
    A[Gas molecules] --> B[Sensing layer]
    B --> C[Resistance changes]
    C --> D[Voltage output changes]
    D --> E[Comparator circuit]
    E --> F[Alarm/Output signal]

3. Humidity Sensor (Hygrometer):

  • Principle: Capacitance or resistance varies with moisture absorption
  • Working: Dielectric material absorbs moisture, changing electrical properties
  • Types: Capacitive (more accurate) and resistive (simpler)

4. Proximity Sensor:

  • Principle: Detects objects without physical contact
  • Working: Emits electromagnetic field/beam; detects changes when object enters field
  • Types: Inductive (metals), capacitive (any material), ultrasonic (distance)

Mnemonic: “TGHP - Temperature Generates voltage, Gas Hits semiconductors, Humidity Holds moisture, Proximity Perceives objects”

Question 2(a) [3 marks]
#

List types of DVM and mention one advantage of each.

Answer:

Types of Digital Voltmeters (DVM):

DVM TypeWorking PrincipleAdvantage
Ramp TypeCompares input with reference rampSimple design, low cost
Integrating TypeMeasures average over timeGood noise rejection
Successive ApproximationBinary search algorithmFast conversion speed
Dual SlopeIntegration with fixed timeExcellent noise rejection

Key Points:

  • Ramp type: Simple but affected by noise
  • Integrating type: Reduces effect of periodic noise
  • Successive approximation: Quick readings, good for changing signals
  • Dual slope: Best accuracy, immune to most noise

Mnemonic: “RISD - Ramp Is Simple Design, Integrating Ignores noise, Successive Secures speed, Dual Deals with interference”

Question 2(b) [4 marks]
#

Draw and explain Maxwells’s bridge.

Answer:

Maxwell’s Bridge is used to measure unknown inductance by comparing it with a standard capacitance.

Circuit Diagram:

graph TD
    A[Supply] --> B[Point B]
    A --> C[Point D]
    B --> D[Point A]
    B --> E[Point C]
    C --> E
    C --> F[Point D]
    D --- G[Detector]
    F --- G
    B -- R1 --- D
    D -- R2 --- C
    B -- R3 --- F
    F -- L,R4 --- C

Balance Equations:

  • Unknown inductance L = R2 × R3 × C
  • Resistance R4 = R1 × (R3/R2)

Working:

  • Bridge contains four arms with R1, R2, R3, and L,R4
  • When bridge is balanced, no current flows through detector
  • Values of L and R4 calculated using balance equations

Advantages:

  • High accuracy: Good for medium value inductors
  • Independent balance: Resistance and inductance balanced separately

Mnemonic: “MILL - Maxwell’s Inductance is Like L = R2R3C, when the detector shows Lowered current”

Question 2(c) [7 marks]
#

Draw the block diagram of a Successive Approximation type Digital Voltmeter (DVM) and explain its working.

Answer:

Successive Approximation DVM converts analog input to digital output using binary search algorithm.

Block Diagram:

graph TD
    A[Analog Input] --> B[Signal Conditioning]
    B --> C[Sample & Hold]
    C --> D[Comparator]
    E[Clock] --> F[Successive Approximation Register]
    F --> G[D/A Converter]
    G --> D
    D --> F
    F --> H[Digital Display]
    I[Reference Voltage] --> G

Working:

  1. Signal conditioning: Scales input voltage to measurement range
  2. Sample & Hold: Captures instantaneous input value
  3. SAR (Successive Approximation Register): Performs binary search
  4. DAC (Digital-to-Analog Converter): Converts digital value to analog
  5. Comparator: Compares input with DAC output
  6. Digital Display: Shows final digital value

Example Conversion Process:

  • For 4-bit conversion of 9V (range 0-15V):
    • Try 8V (1000) → Input > 8V → Keep 1
    • Try 12V (1100) → Input < 12V → Change to 0
    • Try 10V (1010) → Input < 10V → Change to 0
    • Try 9V (1001) → Input = 9V → Keep 1
    • Result: 1001 (9V)

Advantages:

  • Fast conversion: Fixed conversion time regardless of input
  • Good accuracy: Suitable for most applications
  • Medium complexity: Balance of performance and cost

Mnemonic: “SHARP - Sample, Hold, Approximate, Register stores, Present result”

Question 2(a) OR [3 marks]
#

State and explain the working principle of PMMC instruments.

Answer:

PMMC (Permanent Magnet Moving Coil) instruments operate based on electromagnetic principles.

Working Principle: When current flows through a coil placed in a magnetic field, a torque is produced causing the coil to rotate proportionally to the current.

Key Components:

  • Permanent magnet: Creates strong magnetic field
  • Moving coil: Wound on aluminum frame
  • Control springs: Provide restoring torque
  • Pointer: Indicates reading on scale

Diagram:

Sp==r==i==n==g============C====o====i====l====N==S===`==-=SprPionignter

Mnemonic: “PMMC - Permanent Magnet Makes Coil turn when Current flows”

Question 2(b) OR [4 marks]
#

Draw and explain Schering bridge.

Answer:

Schering Bridge is used to measure capacitance and dissipation factor of a capacitor.

Circuit Diagram:

graph TD
    A[AC Supply] --> B[Point A]
    A --> C[Point C]
    B --> D[Point B]
    B --> E[Point D]
    C --> E
    C --> F[Point C]
    D --- G[Detector]
    F --- G
    B -- R1 --- D
    D -- C2 --- C
    B -- C4,R4 --- F
    F -- Cx,Rx --- C

Balance Equations:

  • Unknown capacitance Cx = C2 × (R1/R4)
  • Unknown resistance Rx = R4 × (C4/C2)
  • Dissipation factor D = ωCxRx = ωC4R4

Working:

  • Contains four arms with R1, C2, Cx-Rx, and C4-R4
  • When bridge is balanced, no current flows through detector
  • Values of Cx and Rx calculated using balance equations

Applications:

  • Capacitor testing: Measures capacitance and losses
  • Insulation testing: Evaluates dielectric properties

Mnemonic: “SCAN - Schering Capacitance And taN delta measured together”

Question 2(c) OR [7 marks]
#

Draw and explain Dual slope integrating type DVM.

Answer:

Dual Slope Integrating DVM is a type of digital voltmeter that converts analog input to digital form using integration method.

Block Diagram:

graph TD
    A[Analog Input] --> B[Input Buffer]
    B --> C[Integrator]
    D[Reference Voltage] --> E[Polarity Switch]
    E --> C
    C --> F[Comparator]
    G[Zero Reference] --> F
    F --> H[Control Logic]
    I[Clock] --> H
    H --> E
    H --> J[Counter]
    J --> K[Digital Display]
    H --> J

Working Principle:

  1. First phase (Fixed time T1):

    • Input voltage integrated for fixed time T1
    • Output of integrator = -(1/RC)∫V(in)dt
    • Counter counts clock pulses
  2. Second phase (Variable time T2):

    • Reference voltage of opposite polarity applied
    • Integrator output returns to zero
    • Time T2 proportional to input voltage
    • T2 = T1 × (Vin/Vref)

Advantages:

  • Excellent noise rejection: Especially power line frequency (50/60 Hz)
  • High accuracy: Depends only on reference voltage and clock stability
  • Automatic zero correction: Self-calibrating feature

Key Points:

  • Integration time: Usually multiple of power line period (20ms or 16.67ms)
  • Resolution: Determined by clock frequency and counter capacity

Mnemonic: “FIRE - First Integrate input, then Integrate Reference, until Equal to zero”

Question 3(a) [3 marks]
#

What is the importance of delay line and trigger circuit in a CRO?

Answer:

Delay Line Importance:

  • Purpose: Delays the signal to display events that trigger the sweep
  • Function: Allows viewing of leading edge of signal that caused trigger
  • Implementation: Artificial transmission line with LC network or microstrip

Trigger Circuit Importance:

  • Purpose: Initiates sweep at specific point on input signal
  • Function: Ensures stable, stationary display of repetitive waveforms
  • Controls: Level, slope, source, and coupling

Table: Delay Line vs Trigger Circuit:

ComponentPurposeBenefit
Delay LineDelays signal pathShows complete waveform including trigger point
Trigger CircuitInitiates sweepCreates stable display with synchronized timing

Mnemonic: “DT-SS - Delay To See Signal, Trigger Stops Screen drift”

Question 3(b) [4 marks]
#

Explain the internal structure and working of a Cathode Ray Tube (CRT) with a neat diagram.

Answer:

Cathode Ray Tube (CRT) is the heart of an oscilloscope that converts electrical signals into visual display.

Structure Diagram:

EGnColvVadaeEtesllhsoepcetronGunFVVVADeflDeVecft.ionSDyHesftV.emFSlcur..SPcVr.ScreenVacuum

Key Components:

  1. Electron Gun:

    • Cathode: Heated filament that emits electrons
    • Control Grid: Regulates electron beam intensity
    • Focusing Anodes: Concentrate electrons into beam
    • Accelerating Anodes: Increase electron velocity
  2. Deflection System:

    • Horizontal Deflection Plates: Control X-axis movement
    • Vertical Deflection Plates: Control Y-axis movement
  3. Screen:

    • Phosphor Coating: Glows when struck by electrons
    • Glass Envelope: Maintains vacuum and provides structure

Working:

  • Heated cathode emits electrons
  • Control grid regulates beam intensity (brightness)
  • Focusing anodes form narrow beam
  • Accelerating anodes speed up electrons
  • Deflection plates bend beam horizontally and vertically
  • Electron beam strikes phosphor screen, creating visible spot

Mnemonic: “EFADS - Electrons Fly, Anodes Direct, Screen shows signals”

Question 3(c) [7 marks]
#

Explain the working of a Cathode Ray Oscilloscope (CRO) with the help of a block diagram and describe the function of each block.

Answer:

Cathode Ray Oscilloscope (CRO) is an electronic instrument used to visualize and analyze electrical signals.

Block Diagram:

graph TD
    A[Vertical Input] --> B[Vertical Attenuator]
    B --> C[Vertical Amplifier]
    C --> D[Delay Line]
    D --> E[Vertical Deflection Plates]
    F[Trigger Circuit] --> G[Time Base Generator]
    G --> H[Horizontal Amplifier]
    H --> I[Horizontal Deflection Plates]
    J[External Trigger Input] --> F
    C --> F
    G --> K[Blanking Circuit]
    K --> L[CRT]
    E --> L
    I --> L
    M[Power Supply] --> L
    M --> All

Functions of Each Block:

BlockFunction
Vertical AttenuatorScales input signal to suitable level
Vertical AmplifierAmplifies signal for deflection plates
Delay LineDelays signal to see triggering event
Trigger CircuitInitiates sweep at specific point
Time Base GeneratorCreates sawtooth wave for horizontal sweep
Horizontal AmplifierAmplifies sweep signal
Blanking CircuitCuts beam during retrace
CRTConverts electrical signals to visual display
Power SupplyProvides various DC voltages

Working Process:

  1. Signal Input: Connected to vertical attenuator
  2. Vertical Processing: Signal scaled, amplified, delayed
  3. Triggering: Trigger circuit starts time base at specific point
  4. Horizontal Sweep: Time base creates horizontal movement
  5. Display: Electron beam traces signal on screen
  6. Retrace: Beam returns quickly (blanked) for next sweep

Controls:

  • Vertical: Volts/div, position, coupling
  • Horizontal: Time/div, position
  • Trigger: Level, slope, source, mode

Mnemonic: “VATH-CDS - Vertical Attenuates Then amplifies, Horizontal Creates Deflection Sweep”

Question 3(a) OR [3 marks]
#

Give the differences between Cathode Ray Oscilloscope (CRO) and Digital Storage Oscilloscope (DSO).

Answer:

Comparison between CRO and DSO:

ParameterCathode Ray Oscilloscope (CRO)Digital Storage Oscilloscope (DSO)
Signal ProcessingAnalogDigital (ADC conversion)
Storage CapabilityNone (real-time only)Can store waveforms in memory
BandwidthLimited by CRT technologyHigher bandwidth possible
DisplayPhosphor screenLCD/LED screen
Additional FeaturesBasic measurementsAdvanced analysis, FFT, math functions

Key Differences:

  • Waveform Storage: DSO can save waveforms, CRO cannot
  • Signal Processing: DSO converts analog to digital, CRO is purely analog
  • Pre-trigger Display: DSO can show events before trigger
  • Analysis Features: DSO offers measurements, math functions, FFT

Mnemonic: “DSO-MAPS - Digital Storage Oscilloscope Measures, Analyzes, Processes, Stores signals”

Question 3(b) OR [4 marks]
#

Explain how frequency and phase angle can be determined with the help of CRO.

Answer:

Frequency Measurement on CRO:

Method:

  1. Display signal on screen
  2. Measure time period (T) using horizontal time/div setting
  3. Calculate frequency: f = 1/T

Example Calculation:

  • If 3 cycles span 6 divisions at 0.5ms/div
  • Time for 3 cycles = 6 div × 0.5ms/div = 3ms
  • Time for 1 cycle (T) = 3ms ÷ 3 = 1ms
  • Frequency (f) = 1/T = 1/1ms = 1kHz

Phase Angle Measurement:

Method:

  1. Display both signals on dual channel
  2. Measure time difference (Δt) between corresponding points
  3. Measure time period (T) of complete cycle
  4. Calculate phase difference: φ = (Δt/T) × 360°

Diagram:

VoltageSig-nΔatl--1>-|T-V----S-i-g-n>a|l2Time

Calculation:

  • If Δt = 1 div at 0.2ms/div, and T = 5 div at 0.2ms/div
  • Δt = 0.2ms and T = 1ms
  • Phase difference: φ = (0.2ms/1ms) × 360° = 72°

Mnemonic: “FPL - Frequency = Period’s Length reciprocal, Phase = (Lag/Period) × 360”

Question 3(c) OR [7 marks]
#

Draw the block diagram of a Digital Storage Oscilloscope (DSO) and explain the function of each block.

Answer:

Digital Storage Oscilloscope (DSO) converts analog signals to digital form for storage and analysis.

Block Diagram:

graph TD
    A[Analog Input] --> B[Attenuator/Amplifier]
    B --> C[Anti-aliasing Filter]
    C --> D[Analog-to-Digital Converter]
    D --> E[Acquisition Memory]
    E --> F[Digital Signal Processor]
    F --> G[Display Memory]
    G --> H[Display Controller]
    H --> I[LCD Display]
    J[Trigger System] --> D
    K[Microprocessor] --> F
    K --> J
    K --> H
    L[Control Panel] --> K
    M[Clock Generator] --> D
    M --> K

Functions of Each Block:

BlockFunction
Attenuator/AmplifierConditions input signal to ADC range
Anti-aliasing FilterRemoves high frequencies to prevent aliasing
ADCConverts analog signal to digital samples
Acquisition MemoryStores digitized waveform data
Digital Signal ProcessorPerforms mathematical operations on signals
Display MemoryStores processed data for display
Display ControllerControls screen update and format
MicroprocessorControls overall operation and user interface
Trigger SystemDetermines when to start data acquisition
Clock GeneratorProvides timing for sampling and processing

Advantages of DSO:

  • Single-shot capture: Can capture transient events
  • Pre-trigger viewing: Shows signal before trigger point
  • Waveform storage: Saves signals for later analysis
  • Advanced measurements: Automated amplitude, timing, etc.
  • Mathematical functions: Addition, FFT, integration, etc.

Working Process:

  1. Input signal conditioned by attenuator/amplifier
  2. Signal filtered to prevent aliasing
  3. ADC samples signal at regular intervals
  4. Digital data stored in acquisition memory
  5. Processor analyzes and prepares data for display
  6. Display shows waveform and measurements

Mnemonic: “AADPD - Attenuate Analog, Digitize, Process, Display the signal”

Question 4(a) [3 marks]
#

Give the classification of different types of transducers.

Answer:

Classification of Transducers:

Classification BasisTypes
Principle of OperationMechanical, Electrical, Thermal, Optical, Chemical
Input/Output RelationshipPrimary, Secondary
Signal GenerationActive, Passive
Electrical ParametersResistive, Capacitive, Inductive
TransductionPhotoelectric, Electrochemical, Thermoelectric

Primary Classification:

  1. Based on Energy Conversion:

    • Active Transducers: Generate electrical output without external power (e.g., thermocouple)
    • Passive Transducers: Require external power (e.g., thermistor)
  2. Based on Principle of Operation:

    • Primary Transducers: Convert physical change directly to electrical signal
    • Secondary Transducers: Require intermediate conversion

Mnemonic: “APRCI - Active/Passive, Resistive/Capacitive/Inductive are key categories”

Question 4(b) [4 marks]
#

Explain the construction and working of a strain gauge.

Answer:

Strain Gauge converts mechanical strain (deformation) into electrical resistance change.

Construction:

  • Grid Pattern: Thin foil or wire in zigzag pattern
  • Backing Material: Polyimide or epoxy carrier
  • Lead Wires: Connected to measurement circuit
  • Adhesive: Bonds gauge to test surface

Diagram:

LeadWireGPraitdternLeadWireBMaactkeirnigal

Working Principle:

  • Based on piezoresistive effect
  • When object deforms, gauge deforms
  • Deformation changes resistance per formula:
    • ΔR/R = GF × ε
    • Where GF = Gauge Factor, ε = Strain

Measurement Circuit:

  • Usually connected in Wheatstone bridge
  • Converts small resistance change to voltage
  • Output voltage proportional to strain

Applications:

  • Load cells, pressure sensors
  • Structural testing
  • Mechanical stress analysis

Mnemonic: “GRID - Gauge Resistance Increases with Deformation”

Question 4(c) [7 marks]
#

Explain the Linear Variable Differential Transducer (LVDT) with its construction, working, advantages, and applications.

Answer:

Linear Variable Differential Transformer (LVDT) is an electromechanical sensor that converts linear displacement into electrical signal.

Construction:

  • Primary Coil: Central winding excited by AC source
  • Secondary Coils: Two identical coils on either side
  • Core: Ferromagnetic material that moves with displacement
  • Housing: Cylindrical shell with terminals

Diagram:

graph LR
    A[AC Source] --> B[Primary Coil]
    C[Core] --- B
    B --- D[Secondary Coil 1]
    B --- E[Secondary Coil 2]
    D --> F[Signal Conditioning]
    E --> F
    F --> G[Output]
    H[Movement] --> C

Working Principle:

  • AC voltage applied to primary coil
  • Magnetic flux couples to secondary coils
  • Core position determines coupling efficiency
  • Voltage differential between secondaries ∝ displacement
  • At null position (center), secondary voltages are equal and opposite

Characteristic Curve:

NulOlutPpoustitionSecondaryVoltagesDisplacement

Advantages:

  • Frictionless operation: No mechanical contact
  • Infinite resolution: Analog output
  • High linearity: Direct proportional output
  • Ruggedness: Resistant to shock and vibration
  • Long life: No wearing parts

Applications:

  • Industrial: Automated machine tools, robotics
  • Aerospace: Flight control systems
  • Civil Engineering: Structural testing
  • Metrology: Precision measurement instruments

Mnemonic: “LVDT-MAPS - Linear Variable Differential Transformer Measures Accurately Position by Secondary voltage differences”

Question 4(a) OR [3 marks]
#

State any three uses of PH sensors.

Answer:

Uses of PH Sensors:

ApplicationPurposeImportance
Water TreatmentMonitor and control water qualityEnsures safe drinking water
AgricultureSoil monitoring for optimal plant growthIncreases crop yield
Medical DiagnosticsMeasuring body fluid acidityCritical for patient health

Additional Applications:

  • Food Processing: Quality control during production
  • Aquaculture: Maintaining optimal water conditions
  • Chemical Manufacturing: Process control

Mnemonic: “WAM - Water quality control, Agriculture soil testing, Medical diagnostics are key PH sensor applications”

Question 4(b) OR [4 marks]
#

Explain the construction and working of a capacitive transducer.

Answer:

Capacitive Transducer converts physical change into capacitance variation which is measured electrically.

Construction:

  • Parallel Plates: Two conductive plates
  • Dielectric Medium: Air, ceramic, or other material
  • Housing: Protective enclosure
  • Terminals: Electrical connections

Diagram:

TermPilnaatleAAHouDsiMieanltgdeecrtirailcTePrlmaitnealBB

Working Principle:

  • Capacitance C = ε₀εᵣA/d
    • ε₀ = Permittivity of free space
    • εᵣ = Relative permittivity of dielectric
    • A = Area of plates
    • d = Distance between plates

Types of Variation:

  1. Area variation: Changing overlap of plates
  2. Distance variation: Changing separation between plates
  3. Dielectric variation: Changing dielectric material

Applications:

  • Pressure sensors: Diaphragm changes plate distance
  • Level sensors: Dielectric changes with fluid level
  • Humidity sensors: Dielectric changes with moisture
  • Proximity sensors: Distance changes with object presence

Mnemonic: “CAD - Capacitance changes with Area, Distance, or Dielectric variations”

Question 4(c) OR [7 marks]
#

Describe absolute optical encoder and its A, B, C waveform outputs with proper illustration.

Answer:

Absolute Optical Encoder directly measures angular position by generating a unique digital code for each position.

Construction:

  • Code Disc: Contains concentric tracks with transparent/opaque sectors
  • Light Source: LED array illuminating the disc
  • Photo Detectors: Sensors detecting light through disc patterns
  • Signal Conditioning: Converts photodetector signals to digital outputs

Diagram:

graph TB
    A[LED Light Source] --> B[Code Disc]
    B --> C[Photodetectors]
    C --> D[Signal Conditioning Circuit]
    D --> E[Digital Output]
    F[Rotating Shaft] --> B

Code Disc Pattern:

TRrTToarrVtcaaakcctkkiCoBAn(Index)

Waveform Outputs:

SignalPurposeCharacteristics
A SignalPosition informationSquare wave, 50% duty cycle
B SignalDirection information90° phase shifted from A
C SignalReference/indexSingle pulse per revolution

Output Waveforms:

ABCSSSiiigggnnnaaalll0°|||9|0|_°____|_____1___8_|_0__°__|___2|_7__0__°|_________|_3__6__0|_°__|___4__5|__0___°____|_____5|_4_0_°|_____|__6___3___0_|_°______7_2_0°

Working principle:

  • A & B output provides quadrature signals (90° out of phase)
  • Direction determined by which signal leads:
    • If A leads B: Clockwise rotation
    • If B leads A: Counter-clockwise rotation
  • Position determined by counting pulses
  • C signal provides reference/home position

Applications:

  • CNC machines: Precise position control
  • Robotics: Joint angle measurement
  • Camera systems: Lens positioning
  • Industrial automation: Motor control

Mnemonic: “ABC-PDP - Absolute encoder tracks A, B, C Provide Direction, Position, and reference pulse”

Question 5(a) [3 marks]
#

Describe the working principle of a basic frequency counter.

Answer:

Frequency Counter measures frequency of an input signal by counting events over a precise time interval.

Working Principle:

  • Count number of cycles/pulses of input signal
  • Divide by the precise gate time
  • Display resulting frequency

Basic Blocks:

  • Input Conditioning: Shapes signal to digital levels
  • Gate Control: Opens gate for precise time
  • Counter: Counts pulses during gate open time
  • Time Base: Generates precise gate timing
  • Display: Shows frequency value

Simplified Diagram:

graph LR
    A[Input Signal] --> B[Input Conditioning]
    B --> C[AND Gate]
    D[Time Base] --> E[Gate Control]
    E --> C
    C --> F[Counter]
    F --> G[Display]

Mnemonic: “CTPG - Count The Pulses, Gate the time”

Question 5(b) [4 marks]
#

Draw the diagram of an energy meter and explain its working principle.

Answer:

Electronic Energy Meter measures electrical energy consumption in kilowatt-hours (kWh).

Block Diagram:

graph TD
    A[Voltage Sensor] --> C[Analog Multiplier]
    B[Current Sensor] --> C
    C --> D[Voltage-to-Frequency Converter]
    D --> E[Pulse Counter]
    E --> F[Microcontroller]
    F --> G[LCD Display]
    H[Crystal Oscillator] --> F
    F --> I[LED Indicator]
    F --> J[Communication Interface]

Working Principle:

  • Energy = Power × Time
  • Power = Voltage × Current
  • Voltage and current sensed separately
  • Multiplied to get instantaneous power
  • Integrated over time to get energy
  • Pulses generated proportional to energy
  • Each pulse represents fixed energy unit
  • Counter accumulates pulses
  • Display shows accumulated energy

Features:

  • Tamper detection: Prevents electricity theft
  • Multiple tariffs: Different rates for different times
  • Communication: Remote reading capability

Mnemonic: “VCPI - Voltage and Current are multiplied, Pulses Indicate energy used”

Question 5(c) [7 marks]
#

Briefly explain the working principle and functions of a function generator. Describe its front panel controls and explain how it is used to test electronic circuits with suitable examples.

Answer:

Function Generator is an electronic test instrument that generates different waveforms with adjustable frequency and amplitude.

Working Principle:

  • Generates base signal using oscillator circuit
  • Shapes waveform using wave-shaping circuits
  • Adjusts amplitude, frequency, and offset parameters
  • Outputs waveform through buffer amplifier

Block Diagram:

graph LR
    A[Oscillator] --> B[Wave Shaper]
    B --> C[Output Amplifier]
    D[Frequency Control] --> A
    E[Waveform Selector] --> B
    F[Amplitude Control] --> C
    G[DC Offset Control] --> C
    C --> H[Output]
    I[Modulation Input] --> A

Front Panel Controls:

ControlFunctionTypical Range
FrequencySets signal frequency0.1 Hz - 20 MHz
AmplitudeSets signal amplitude0 - 20 Vpp
DC OffsetAdds DC voltage±10V
Waveform SelectChooses waveform typeSine, Triangle, Square, Pulse
Duty CycleAdjusts pulse width10% - 90%
ModulationAM/FM modulationInternal/External

Output Waveforms:

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Circuit Testing Applications:

ApplicationWaveform UsedPurpose
Amplifier TestingSine waveGain, frequency response
Digital Circuit TestingSquare waveLogic timing, thresholds
Filter TestingSine sweepCutoff frequency, response
Triggering CircuitsPulseThreshold testing

Example: Testing Amplifier

  1. Connect function generator to amplifier input
  2. Set sine wave of appropriate amplitude
  3. Vary frequency to test frequency response
  4. Monitor output on oscilloscope
  5. Calculate gain = Output amplitude / Input amplitude

Mnemonic: “FAWOD - Frequency, Amplitude, Waveform, Offset, Duty cycle are key controls”

Question 5(a) OR [3 marks]
#

Describe the working of a spectrum analyzer.

Answer:

Spectrum Analyzer measures signal amplitude versus frequency, showing frequency components of signals.

Working Principle:

  • Converts time-domain signals to frequency-domain
  • Shows spectral components and their amplitudes
  • Uses superheterodyne receiver architecture
  • Sweeps local oscillator to analyze frequency range

Block Diagram:

graph LR
    A[Input Signal] --> B[Attenuator/Amplifier]
    B --> C[Mixer]
    D[Local Oscillator] --> C
    C --> E[IF Filter]
    E --> F[Detector]
    F --> G[Display]
    H[Sweep Generator] --> D
    H --> G

Applications:

  • Signal analysis: Measuring harmonics, distortion
  • EMI testing: Finding interference sources
  • Communications: Channel analysis, modulation quality

Mnemonic: “SAME - Spectrum Analyzer Maps signal Energy across frequencies”

Question 5(b) OR [4 marks]
#

Draw a neat diagram of a clamp-on meter and explain its working.

Answer:

Clamp-on Meter (Current Clamp) is a non-contact device for measuring AC/DC current.

Construction Diagram:

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Working Principle:

  • Based on electromagnetic induction (Faraday’s Law)
  • Current-carrying conductor creates magnetic field
  • Clamp’s ferromagnetic core concentrates field
  • Secondary coil in the clamp induces proportional voltage
  • Circuit converts induced voltage to current reading

Advantages:

  • Non-contact: No need to disconnect circuit
  • Safety: Isolation from high voltages
  • Convenience: Easy to use in confined spaces

Applications:

  • Electrical maintenance: Motor current, load testing
  • Power quality: Measuring power factor, harmonics
  • Troubleshooting: Finding unbalanced loads

Mnemonic: “CLIP - Clamp measures current, Lets magnetic Induction Produce voltage”

Question 5(c) OR [7 marks]
#

Explain the working principle of a digital IC tester. Describe its block diagram and explain how it is used to test the functionality of digital ICs with a suitable example.

Answer:

Digital IC Tester verifies functionality of digital integrated circuits by applying test patterns and comparing responses.

Working Principle:

  • Applies predefined test vectors to IC pins
  • Compares actual outputs with expected outputs
  • Identifies faulty ICs or incorrect functions
  • Tests multiple IC types using stored test patterns

Block Diagram:

graph TD
    A[Microcontroller] --> B[ROM/Test Pattern Memory]
    A --> C[Input Pattern Generator]
    C --> D[ZIF Socket/IC Under Test]
    D --> E[Output Response Analyzer]
    E --> A
    A --> F[Display]
    G[Keypad/Control Panel] --> A
    H[Power Supply] --> D
    H --> A

Major Components:

  • ZIF Socket: Zero Insertion Force socket for easy IC placement
  • Test Pattern Memory: Stores test vectors for various ICs
  • Output Response Analyzer: Compares actual vs. expected outputs
  • Microcontroller: Controls testing sequence and evaluation
  • Display: Shows test results and status

Testing Method:

StepActionPurpose
1Select IC typeLoad correct test parameters
2Insert IC in ZIF socketPrepare for testing
3Start testBegin test sequence
4Apply test vectorsExercise IC functions
5Compare responsesIdentify errors
6Display resultsShow pass/fail status

Example: Testing 7400 NAND Gate IC:

  1. Select “7400” from IC list
  2. Insert IC in ZIF socket
  3. Tester applies all input combinations:
    • Input 1A=0, 1B=0 → Expected output 1Y=1
    • Input 1A=0, 1B=1 → Expected output 1Y=1
    • Input 1A=1, 1B=0 → Expected output 1Y=1
    • Input 1A=1, 1B=1 → Expected output 1Y=0
  4. Repeat for all gates in package (7400 has 4 NAND gates)
  5. Compare actual outputs to expected truth table
  6. Display “PASS” if all tests succeed, or error code if failure

Features of Modern IC Testers:

  • Auto-identification: Detects unknown ICs
  • Learning mode: Creates test patterns for new ICs
  • Functional testing: Tests in-circuit operation
  • Parameter testing: Checks timing, voltage margins

Mnemonic: “TEST - Test patterns Exercise all States, Then verify outputs”

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Working: Resistance decreases as temperature increases (NTC type) or increases with temperature (PTC type).

Key Points:

  • NTC (Negative Temperature Coefficient): Most common type
  • High sensitivity: Large resistance change for small temperature change
  • Nonlinear response: Requires linearization circuits
  • Self-heating: Current passing through it causes heating

Mnemonic: “TRIP - Thermocouples React to junction differences, Thermistors Intensely change resistance, Point sensors at what you measure”

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