Question 1(a) [3 marks]#
Illustrate steps to minimize that all type of systematic error.
Answer:
Steps to minimize systematic errors:
Step | Description |
---|---|
1. Calibration | Periodically calibrate instruments against standard references |
2. Correction | Apply correction factors or offset values |
3. Control | Maintain constant environmental conditions (temperature, humidity) |
4. Technique | Use proper measurement techniques and procedures |
5. Equipment | Select appropriate instruments with required accuracy |
Mnemonic: “CCCTS: Calibrate, Correct, Control, Technique, Select”
Question 1(b) [4 marks]#
Define: Resolution, Precision, Sensitivity and Accuracy.
Answer:
Term | Definition |
---|---|
Resolution | The smallest change in input that can be detected by the instrument |
Precision | Consistency or repeatability of measurements with minimal random error |
Sensitivity | The ratio of change in output to the change in input (ΔO/ΔI) |
Accuracy | Closeness of measured value to the true or accepted standard value |
Diagram:
graph LR A[Measurement Quality] --> B[Resolution] A --> C[Precision] A --> D[Sensitivity] A --> E[Accuracy] B --> F[Smallest detectable change] C --> G[Repeatability] D --> H[Output/Input ratio] E --> I[Closeness to truth]
Mnemonic: “RSPA: Resolve Signals Precisely and Accurately”
Question 1(c) [7 marks]#
Explain a principle of Q Meter and Working of practical Q Meter.
Answer:
Q Meter operates on the resonance principle to measure quality factor (Q) of coils and capacitors.
Principle:
- Based on series resonance where Q = XL/R or XC/R at resonance
- Measures voltage magnification at resonance condition
Working of practical Q meter:
Component | Function |
---|---|
Oscillator | Generates variable frequency signal (50kHz to 50MHz) |
Work coil | Inductor under test (connected in series with calibrated capacitor) |
Capacitor | Variable calibrated capacitor for resonance tuning |
VTVM | Measures resonant voltage across capacitor |
Shunt resistor | Monitors current through the circuit |
Diagram:
- Q factor calculation: Q = V₂/V₁ where V₂ is voltage across capacitor and V₁ is the applied voltage
- Applications: Testing RF components, coil quality measurement
- Resonance indication: Maximum voltage across capacitor indicates resonance
Mnemonic: “VOCAL: Voltage ratio at resonance Oscillator Creates Amplification to measure coiL quality”
Question 1(c OR) [7 marks]#
Explain Wheatstone bridge and derive equation for balanced condition. State application and limitation of Wheatstone bridge.
Answer:
Wheatstone bridge is a network used to measure unknown resistance with high precision.
Circuit diagram:
Balanced condition equation derivation:
- At balance, no current flows through galvanometer
- Potential at point D = Potential at point B
- Voltage across R₁ = Voltage across Rx
- Voltage across R₂ = Voltage across R₃
Therefore:
- (R₁/R₂) = (Rx/R₃)
- Rx = R₃(R₁/R₂)
Applications:
Application | Description |
---|---|
Precision resistance measurement | Accurate measurement of unknown resistors |
Temperature sensing | When used with RTD or thermistor |
Strain measurement | With strain gauges for stress analysis |
Transducer interface | Converting physical quantities to electrical signals |
Limitations:
Limitation | Description |
---|---|
Low resistance measurement | Poor accuracy for very low resistances (<1Ω) |
Sensitivity | Limited by galvanometer sensitivity |
Range | Limited range of measurement (typically 1Ω to 100kΩ) |
Contact resistance | Affects accuracy in low resistance measurements |
Mnemonic: “BEAR: Balance Equation at Arms Ratio”
Question 2(a) [3 marks]#
Differentiate between moving iron and moving coil type instruments.
Answer:
Parameter | Moving Iron Instrument | Moving Coil Instrument |
---|---|---|
Operating principle | Magnetic attraction or repulsion | Electromagnetic force on current-carrying conductor |
Scales | Non-uniform scale | Uniform scale |
Accuracy | Lower (1-2.5%) | Higher (0.1-1%) |
Frequency range | Works for both AC and DC | Only DC (unless rectified) |
Damping | Air friction damping | Eddy current damping |
Power consumption | Higher | Lower |
Mnemonic: “IRON-COIL: Iron uses Repulsion with Non-uniform scale; COIL uses Current with Organized, Improved, Linear scale”
Question 2(b) [4 marks]#
Draw the construction diagram of clamp on Ammeter and explain in detail.
Answer:
Construction diagram of clamp-on ammeter:
Components and working:
- Core: Split laminated ferromagnetic core that can be opened/closed
- Coil: Secondary winding wrapped around the core
- Conductor: Primary conductor (current to be measured) passes through the core
- Measurement circuit: Processes induced current and displays reading
- Spring mechanism: For easy opening and closing of the jaw
Working principle: Based on transformer principle where conductor acts as single-turn primary winding, creating magnetic flux proportional to current.
Mnemonic: “CLASP: Conductor-Loop Amperes Sensed by Primary-secondary relationship”
Question 2(c) [7 marks]#
Describe working and advantages of Integrating type DVM with suitable diagram.
Answer:
Integrating-type Digital Voltmeter converts analog voltage to digital value using dual-slope integration.
Block diagram:
Working principle:
Phase | Description |
---|---|
1. Run-up | Unknown input voltage is integrated for fixed time T₁ |
2. Run-down | Reference voltage (opposite polarity) is integrated until output returns to zero |
3. Measurement | Time T₂ of run-down is proportional to input voltage |
4. Display | Digital value based on T₂/T₁ × Vref is displayed |
Advantages:
- Noise rejection: Excellent rejection of power line noise (50/60Hz)
- Accuracy: Highly accurate (0.005% to 0.05%)
- Resolution: High resolution (up to 6½ digits)
- Stability: Less affected by component tolerances
- Common mode rejection: High CMRR
Mnemonic: “RISES: Ramp Integration Samples and Eliminates Spikes”
Question 2(a OR) [3 marks]#
Differentiate between Digital Voltmeter over Analog Voltmeter.
Answer:
Parameter | Digital Voltmeter | Analog Voltmeter |
---|---|---|
Display | Numeric display (digits) | Pointer movement on scale |
Reading error | No parallax error | Subject to parallax error |
Resolution | Higher (limited by number of digits) | Limited by scale divisions |
Accuracy | Better (typically 0.05% to 0.5%) | Lower (typically 1% to 3%) |
Output | Can provide digital output for interfacing | No direct digital output |
Power requirement | Requires power supply | Can be passive (PMMC type) |
Mnemonic: “DAPPER: Digital Accuracy and Precise readings; Parallax Error in Reading analog”
Question 2(b OR) [4 marks]#
Draw the construction diagram of Moving iron type Meter and explain in detail.
Answer:
Construction diagram of moving iron meter:
Working principle and components:
- Coil: Creates magnetic field proportional to current
- Iron vanes: Two soft iron pieces (one fixed, one movable)
- Movement: Magnetic repulsion between similarly magnetized iron pieces
- Control: Spring provides opposing torque
- Damping: Air friction damping mechanism
- Scale: Non-uniform scale due to non-linear magnetic force
Types:
- Attraction type: Works on magnetic attraction principle
- Repulsion type: Works on magnetic repulsion principle
Mnemonic: “MIRROR: Magnetic Interaction Requires Repulsion/attraction Of Related iron pieces”
Question 2(c OR) [7 marks]#
Describe construction diagram of Energy meter and explain in detail.
Answer:
Electronic energy meter measures electrical energy consumption in kilowatt-hours.
Construction diagram:
Components and working:
Component | Function |
---|---|
Voltage sensor | Potential transformer or resistive divider to measure voltage |
Current sensor | Current transformer or shunt resistor to measure current |
Multiplier | Multiplies instantaneous voltage and current values |
Integrator | Integrates power over time to calculate energy |
Microcontroller | Processes signals and calculates energy consumption |
Display | LCD or LED to show consumption in kWh |
Pulse LED | Blinks at a rate proportional to power consumption |
Working principle:
- Voltage and current are sensed by respective sensors
- Signals are multiplied to obtain instantaneous power
- Power is integrated over time to calculate energy
- Energy is displayed as kilowatt-hours (kWh)
Mnemonic: “WATTAGE: Work And Time Tracked As Generated Electrical energy”
Question 3(a) [3 marks]#
Apply Lissajous pattern for frequency measurement and Phase angle measurement.
Answer:
Lissajous patterns on oscilloscope screen help measure frequency ratio and phase difference.
Frequency measurement:
- Apply reference signal to X-axis and unknown signal to Y-axis
- Frequency ratio = Number of tangent points on Y-axis / Number of tangent points on X-axis
- Frequency of unknown = Frequency of reference × Frequency ratio
Pattern | Frequency Ratio (Y:X) |
---|---|
1:1 | |
2:1 | |
n:m |
Phase angle measurement:
- If both frequencies are equal, phase angle (φ) can be measured
- φ = sin⁻¹(A/B) where A = minor axis and B = major axis of ellipse
Mnemonic: “LIPS: Lissajous Indicates Phase and Signal frequency”
Question 3(b) [4 marks]#
Explain Graticules in CRO also Explain its types.
Answer:
Graticules are reference markings on CRO screen for measurements.
Graticule Type | Description | Application |
---|---|---|
Internal graticule | Markings inside CRT glass | Eliminates parallax error |
External graticule | Plastic overlay on screen | Replaceable, economical |
Electronic graticule | Generated electronically | Digital storage oscilloscopes |
Standard graticule features:
- 10 × 8 divisions typically
- Center lines darker for reference
- Small hash marks for subdivisions
- Percentage markings (rise time)
Diagram:
Mnemonic: “GRID: Graticule References for Intensity and Distance”
Question 3(c) [7 marks]#
Describe Construction, Block diagram, working and advantage of Digital storage oscilloscope (DSO).
Answer:
Digital Storage Oscilloscope (DSO) converts analog signals to digital for storage and processing.
Block diagram:
Working principle:
- Signal acquisition: Analog signal is sampled at high speed
- A/D conversion: Continuous signal converted to discrete digital values
- Storage: Digital values stored in memory
- Processing: Microprocessor analyzes stored data
- Display: Data converted back to analog for display or shown directly on LCD
Advantages of DSO:
Advantage | Description |
---|---|
Pre-trigger viewing | Can see signal before trigger event |
Single-shot capture | Can capture transient events |
Waveform storage | Can save waveforms for later analysis |
Signal processing | Advanced mathematical operations on signals |
Automated measurements | Automatic parameter measurements |
Digital interfaces | Can transfer data to computers |
Mnemonic: “SAMPLE: Storage And Memory Processes Live Events”
Question 3(a OR) [3 marks]#
Differentiate between CRO and DSO.
Answer:
Parameter | Analog CRO | Digital Storage Oscilloscope |
---|---|---|
Signal processing | Real-time analog | Digitized and stored |
Storage capability | None (phosphor persistence only) | Can store waveforms in memory |
Bandwidth | Typically higher for same price range | Limited by sampling rate |
Pre-trigger view | Not possible | Available |
Single-shot events | Difficult to capture | Easily captured |
Signal analysis | Basic measurements only | Advanced mathematical analysis |
Mnemonic: “ASPAD: Analog Shows Present; Digital Archives Data”
Question 3(b OR) [4 marks]#
Explain structure of 10:1 Probes in detail.
Answer:
10:1 probe reduces signal amplitude by 10 times to extend oscilloscope range.
Structure:
Components:
Component | Description |
---|---|
Probe tip | Metal contact point that touches circuit |
Ground clip | Reference connection to circuit ground |
Compensation network | RC circuit for frequency compensation |
Probe body | Insulated housing for components |
Cable | Low-capacitance coaxial cable |
Connector | BNC connector for oscilloscope input |
Working principle:
- Forms voltage divider with oscilloscope input (9MΩ probe + 1MΩ scope = 10:1 division)
- Compensating capacitor ensures flat frequency response
- Reduces circuit loading effect by increasing effective input impedance
Mnemonic: “TAPER: Ten-to-one Attenuation Preserves and Extends Range”
Question 3(c OR) [7 marks]#
Describe Block diagram, working and application of CRO.
Answer:
CRO (Cathode Ray Oscilloscope) displays and measures electrical signals.
Block diagram:
Working principle:
- Electron beam generation: CRT produces focused electron beam
- Vertical deflection: Y-plates deflect beam proportional to input signal
- Horizontal deflection: X-plates sweep beam across screen
- Triggering: Synchronizes sweep with input signal
- Display: Beam strikes phosphor screen creating visible trace
Applications of CRO:
Application | Description |
---|---|
Waveform analysis | Visualize signal shape and characteristics |
Frequency measurement | Measure time period and calculate frequency |
Phase measurement | Compare phase relationship between signals |
Voltage measurement | Measure signal amplitude |
Component testing | Check behavior of electronic components |
Transient analysis | Observe fast-changing events |
Mnemonic: “VIEW: Voltage Inspection and Electrical Waveform observation”
Question 4(a) [3 marks]#
Differentiate RTD and Thermistor.
Answer:
Parameter | RTD (Resistance Temperature Detector) | Thermistor |
---|---|---|
Material | Pure metals (Pt, Ni, Cu) | Semiconductor materials |
Resistance-temp relation | Linear (positive) | Highly non-linear (usually negative) |
Temperature range | -200°C to 850°C | -50°C to 300°C |
Sensitivity | Lower (0.4%/°C) | Higher (4%/°C) |
Accuracy | Higher | Lower |
Cost | Higher | Lower |
Response time | Slower | Faster |
Mnemonic: “METAL-SEMI: Metal Elements Temperature-Linear vs. SEMIconductor Exponential Measurement Instrument”
Question 4(b) [4 marks]#
Give and explain two example of primary and Secondary transducer.
Answer:
Type | Examples | Explanation |
---|---|---|
Primary Transducers | ||
1. Thermocouple | Directly converts temperature difference to voltage using Seebeck effect | Two dissimilar metals generate voltage proportional to temperature difference |
2. Piezoelectric crystal | Directly converts mechanical force to electrical charge | Quartz crystal develops charge proportional to applied pressure |
Secondary Transducers | ||
1. Strain gauge | Requires intermediate conversion; change in dimension alters resistance | Mechanical strain → resistance change → electrical signal |
2. LVDT | Requires intermediate conversion; displacement changes magnetic coupling | Mechanical displacement → magnetic coupling → electrical signal |
Diagram:
graph TD A[Transducers] --> B[Primary] A --> C[Secondary] B --> D[Direct conversion] C --> E[Uses intermediate steps] D --> F[Thermocouple: Temperature → Voltage] D --> G[Piezoelectric: Force → Charge] E --> H[Strain Gauge: Force → Resistance → Voltage] E --> I[LVDT: Displacement → Magnetic coupling → Voltage]
Mnemonic: “PIDS: Primary Is Direct; Secondary is Stepwise”
Question 4(c) [7 marks]#
Describe Thermocouple with working principle, types and application.
Answer:
Thermocouple is a temperature sensor based on the Seebeck effect.
Working principle:
- When two dissimilar metals are joined, a voltage is generated proportional to temperature difference
- Seebeck effect: Temperature gradient creates electromotive force
Diagram:
Types of thermocouples:
Type | Materials | Temperature Range | Application |
---|---|---|---|
Type J | Iron-Constantan | -40°C to 750°C | General purpose, reducing atmosphere |
Type K | Chromel-Alumel | -200°C to 1350°C | Oxidizing atmosphere, high temperatures |
Type T | Copper-Constantan | -200°C to 350°C | Low temperature, food industry |
Type E | Chromel-Constantan | -200°C to 900°C | Highest sensitivity, cryogenics |
Type R/S | Platinum-Rhodium | 0°C to 1600°C | High temperature, laboratory standards |
Applications:
- Industrial temperature measurement
- Furnace and kiln temperature control
- Chemical processing
- Food processing
- Automotive engine sensors
- Medical equipment
Mnemonic: “STEVE: Seebeck Thermoelectric Effect Verifies Elevated temperatures”
Question 4(a OR) [3 marks]#
Demonstrate working and principle Semiconductor Temperature Sensor LM35.
Answer:
LM35 is a precision integrated-circuit temperature sensor that provides output voltage proportional to temperature.
Principle:
- Based on the predictable change in base-emitter voltage (VBE) of a transistor with temperature
- Output voltage linearly proportional to Celsius temperature (10mV/°C)
Circuit diagram:
Working characteristics:
- Linear output: 10mV/°C (0.01V/°C) scale factor
- Range: -55°C to +150°C
- Accuracy: ±0.5°C (typical)
- Low self-heating: 0.08°C in still air
- Low impedance output: 0.1Ω for 1mA load
Mnemonic: “LOTUS: Linear Output Temperature Units from Semiconductor”
Question 4(b OR) [4 marks]#
Describe incremental type of Optical encoder with it’s output waveform.
Answer:
Incremental optical encoder generates pulses as shaft rotates to measure position, speed, and direction.
Construction:
Output waveform:
Working principle:
- Light source (LED) shines through slotted disk
- Photodetectors receive light pulses as disk rotates
- Two output channels (A and B) are 90° out of phase
- Direction determined by which channel leads
- Resolution depends on number of slots on disk
Mnemonic: “PADS: Pulses from A and Determine Speed”
Question 4(c OR) [7 marks]#
Describe construction, operation of LVDT with advantages, disadvantages and application.
Answer:
LVDT (Linear Variable Differential Transformer) is an electromechanical transducer that converts linear displacement into electrical signal.
Construction:
Operation:
- AC excitation applied to primary coil
- Magnetic flux couples to secondary coils
- Core position determines differential voltage output
- Null position: Equal voltage in both secondaries
- Movement: Voltage increases in one secondary, decreases in other
Advantages:
Advantage | Description |
---|---|
Frictionless | No mechanical contact between core and coils |
Infinite resolution | Analog output with no quantization |
Robustness | Long operational life, high reliability |
Null position stability | Highly stable reference position |
High sensitivity | Small displacements can be measured |
Disadvantages:
Disadvantage | Description |
---|---|
AC excitation required | Needs AC power source |
Temperature sensitive | Output varies with temperature |
Position limited | Measurement range is limited |
Bulky | Larger size compared to other sensors |
Applications:
- Machine tool positioning
- Hydraulic and pneumatic systems
- Aircraft and missile systems
- Automated manufacturing
- Structural testing
Mnemonic: “MOVE-AC: Magnetic Output Varies with Exact Armature Core position”
Question 5(a) [3 marks]#
Describe working of Pressure measurement using Capacitive transducer.
Answer:
Capacitive pressure transducer uses changes in capacitance to measure pressure.
Working principle:
- Pressure deforms diaphragm, changing distance between capacitor plates
- Capacitance inversely proportional to distance (C = ε₀εₐA/d)
- Change in capacitance is measured and converted to pressure reading
Diagram:
Application: Industrial process monitoring, atmospheric pressure measurement, liquid level sensing
Mnemonic: “CAPS: Capacitance Alters as Pressure Shifts”
Question 5(b) [4 marks]#
Define rise time, fall time, Pulse width and duty cycle.
Answer:
Parameter | Definition |
---|---|
Rise Time | Time taken for pulse to rise from 10% to 90% of its maximum amplitude |
Fall Time | Time taken for pulse to fall from 90% to 10% of its maximum amplitude |
Pulse Width | Time interval between 50% amplitude points on rising and falling edges |
Duty Cycle | Ratio of pulse width to total period, expressed as percentage |
Diagram:
Mnemonic: “RPFD: Rise Pulses, Fall Determines”
Question 5(c) [7 marks]#
Discuss Function generator block diagram.
Answer:
Function generator produces various waveforms over a range of frequencies.
Block diagram:
Function and operation of each block:
Block | Function |
---|---|
Frequency Control | Sets the operating frequency using variable capacitor/resistor network |
Waveform Generator | Voltage-controlled oscillator producing basic waveform (usually triangle) |
Waveshape Circuit | Converts triangle wave to sine/square waves through shaping circuits |
Amplitude Control | Adjusts output amplitude of the generated waveform |
DC Offset | Adds DC bias to shift the waveform up or down from zero reference |
Output Buffer | Provides low output impedance for proper loading |
Attenuator | Controls final output level with calibrated steps |
Protection Circuit | Protects output from short circuits or overload |
Output waveforms:
Waveform | Generation Method |
---|---|
Sine | Shaped from triangle wave using non-linear shaping circuit |
Square | Derived from triangle wave using comparator |
Triangle | Basic output from integrator circuit |
Ramp | Modified triangle wave with different rise/fall times |
Pulse | Square wave with variable duty cycle |
Mnemonic: “FASTEST: Frequency Amplitude Shaping Together Ensures Signal Types”
Question 5(a OR) [3 marks]#
Discuss Working, construction of strain gauge.
Answer:
Strain gauge converts mechanical deformation to electrical resistance change.
Construction:
Working principle:
- Based on piezoresistive effect: resistance changes with mechanical deformation
- When bonded to object, strain gauge deforms along with it
- Resistance increases with tension (elongation)
- Resistance decreases with compression (shortening)
- Resistance change is measured using bridge circuit
Resistance change relation:
- ΔR/R = GF × ε
- Where: ΔR = resistance change, R = initial resistance
- GF = gauge factor (sensitivity), ε = strain
Materials used:
- Foil: Constantan, Karma, Nichrome alloys
- Semiconductor: Silicon, Germanium for higher sensitivity
Mnemonic: “SERB: Strain Effects Resistance by Bonding”
Question 5(b OR) [4 marks]#
Describe working of Digital IC tester with suitable diagrams.
Answer:
Digital IC tester verifies functionality of integrated circuits by applying test patterns.
Block diagram:
Working principle:
- IC is inserted into test socket
- User selects IC type/number using keypad
- Microcontroller loads appropriate test pattern
- Test patterns applied to IC inputs
- Output responses compared with expected values
- Pass/Fail result displayed
Features of digital IC tester:
- Tests TTL, CMOS, HCMOS logic families
- Can identify unknown ICs by analyzing pin functions
- Performs functional and parametric tests
- Checks for static and dynamic characteristics
Mnemonic: “PIPE: Pattern Input, Pin Examination”
Question 5(c OR) [7 marks]#
Discuss working of Spectrum Analyzer with suitable diagrams.
Answer:
Spectrum analyzer displays signal amplitude versus frequency, showing frequency components.
Block diagram:
Working principle:
- Superheterodyne conversion: Input signal mixed with local oscillator
- Frequency sweep: Local oscillator sweeps across frequency range
- IF filtering: Narrow bandpass filter selects frequency components
- Detection: Amplitude of each frequency component is measured
- Display: Amplitude vs. frequency plot shown on screen
Types of spectrum analyzers:
Type | Principle | Application |
---|---|---|
Swept-tuned | Superheterodyne with swept LO | RF and microwave signals |
FFT (Fast Fourier Transform) | Digital conversion and FFT algorithm | Audio and low-frequency signals |
Real-time | Combination of FFT with high-speed processing | Transient and dynamic signals |
Applications:
- EMI/EMC testing
- Signal purity measurement
- Harmonic distortion analysis
- Communication system testing
- Modulation analysis
Mnemonic: “SHAFT: Sweep, Heterodyne, Analyze Frequency and Time”