Question 1(a) [3 marks]#
Draw the symbol of (1)SCR (2)Diac(3)Triac
Answer:
Diagram:
SCR Symbol: DIAC Symbol: TRIAC Symbol:
A A1 MT2
| | |
▼ ▼ ▼
┌─┐ ┌─┐ ┌─┐
│ │ │ │ │ │
──┤ ├── ──┤ ├── ──┤ ├──
│ │ │ │ │ │
└─┘ └─┘ └─┘
▲ ▲ ▲
| | |
K A2 MT1
/ /
/ /
G G
- SCR (Silicon Controlled Rectifier): Three-terminal device with Anode, Cathode, and Gate
- DIAC (Diode AC switch): Two-terminal bidirectional device with terminals A1 and A2
- TRIAC (Triode AC switch): Three-terminal bidirectional device with MT1, MT2, and Gate
Mnemonic: “AGK for SCR, AA for DIAC, MMG for TRIAC”
Question 1(b) [4 marks]#
Explain the term(1) CMRR (2) Slew rate
Answer:
Table: Op-Amp Parameters
Parameter | Definition | Significance |
---|---|---|
CMRR (Common Mode Rejection Ratio) | Ratio of differential gain to common mode gain expressed in dB | Higher CMRR means better rejection of common input signals |
Slew Rate | Maximum rate of change of output voltage (V/μs) | Determines how fast op-amp responds to rapidly changing inputs |
- CMRR formula: CMRR = 20 log₁₀(Ad/Acm) dB
- Slew Rate importance: Affects high-frequency performance and prevents distortion
Mnemonic: “Common Mode Rejected Rapidly, Slew shows Signal Speed”
Question 1(c) [7 marks]#
Draw and explain summing amplifier.
Answer:
Diagram:
graph LR V1 -- R1 --> A V2 -- R2 --> A V3 -- R3 --> A A -- Rf --> B[Op-Amp] B --> Vout B -- - --> A A -- + --> Ground
Operation of Summing Amplifier:
Circuit function: Adds multiple input voltages with scaling
Output equation: Vout = -(Rf/R1 × V1 + Rf/R2 × V2 + Rf/R3 × V3)
Inverting configuration: Input signals undergo 180° phase shift
Gain control: Rf/Rn determines weight of each input signal
Application: Audio mixing, analog computation, signal processing
Key feature: Virtual ground at inverting input simplifies analysis
Mnemonic: “Sum with Weights: Vout = -Rf(V1/R1 + V2/R2 + V3/R3)”
Question 1(c OR) [7 marks]#
Draw and explain DA converter
Answer:
Diagram:
graph LR D0 -- 2⁰R --> S1 D1 -- 2¹R --> S2 D2 -- 2²R --> S3 D3 -- 2³R --> S4 S1 & S2 & S3 & S4 --> A[Summing Amp] A --> Vout
R-2R Ladder DAC Operation:
Function: Converts digital binary input to analog output voltage
Working principle: Weighted resistor network creates scaled currents
Binary weighting: Each bit contributes voltage proportional to its position (2ⁿ)
Resolution: Determined by number of bits (N) as 1/2ᴺ of full scale
Advantages: Simple design, good accuracy, fast conversion
Applications: Audio equipment, signal generation, control systems
Mnemonic: “Digital Bits to Analog Steps - R-2R makes the magic”
Question 2(a) [3 marks]#
Describe thermal run away of transistor.
Answer:
Thermal Runaway Process:
graph TD A[Increased Temperature] --> B[Increased Collector Current] B --> C[More Power Dissipation] C --> A
- Definition: Self-accelerating process where transistor heats up and draws more current
- Cause: Negative temperature coefficient of base-emitter voltage
- Prevention: Use proper heat sink and stabilization circuits
Mnemonic: “Heat feeds Current feeds Heat - a dangerous loop”
Question 2(b) [4 marks]#
Draw and explain voltage series negative feedback.
Answer:
Diagram:
graph LR Vin --> A[Amplifier] A --> Vout Vout -- Feedback Network --> B[Subtractor] B --> A
Voltage Series Negative Feedback:
Parameter | Effect of Negative Feedback |
---|---|
Gain stability | Improved, less dependent on amplifier parameters |
Bandwidth | Increased proportional to feedback factor |
Distortion | Reduced significantly |
Input impedance | Increased |
- Working principle: Output voltage is sampled and fed back to input
- Gain formula: Closed-loop gain = Open-loop gain/(1 + βA)
Mnemonic: “Series says Sample Voltage, Stabilize Gain”
Question 2(c) [7 marks]#
Draw and explain DC load line for common emitter amplifier.
Answer:
Diagram:
graph TD subgraph DC Load Line A[Point A: IC=0, VCE=VCC] --> B[Operating Point Q] B --> C[Point B: IC=VCC/RC, VCE=0] end
DC Load Line Characteristics:
Definition: Graphical representation of all possible operating points
Equation: IC = VCC/RC - VCE/RC
Key points:
- Saturation point (VCE ≈ 0V, IC = VCC/RC)
- Cutoff point (IC ≈ 0mA, VCE = VCC)
- Q-point (selected operating point for amplification)
Significance: Determines biasing stability and output signal limits
Relationship: DC load line is fixed by circuit components (VCC and RC)
Mnemonic: “Connect Cutoff to Saturation for DC Load Line”
Question 2(a OR) [3 marks]#
Explain operating point(Q-point) in transistor
Answer:
Q-Point (Operating Point):
|
Ic | DC Load Line
| /
| /
| /
| * Q-Point
| /
| /
| /
|___/____________
Vce
- Definition: Specific DC bias point where transistor operates in active region
- Importance: Determines output signal range without distortion
- Selection criteria: Center of load line for maximum swing
Mnemonic: “Quality amplification needs Quiet bias at Q-point”
Question 2(b OR) [4 marks]#
Draw and explain hartley oscillator.
Answer:
Diagram:
graph LR A[Transistor] -- Feedback --> B[LC Tank Circuit] B --> A B -- L1, L2, C --> Output
Hartley Oscillator:
- Configuration: Common emitter with tapped inductor feedback
- Frequency formula: f = 1/[2π√(C×(L1+L2))]
- Phase shift: Ensures 360° total phase shift for oscillation
- Feedback: Inductive voltage divider provides positive feedback
Mnemonic: “Hartley Has two coils with inductance for LC oscillation”
Question 2(c OR) [7 marks]#
Draw and explain AC load line for common emitter amplifier.
Answer:
Diagram:
graph TD subgraph AC and DC Load Lines A[DC Load Line] --> B[Q-Point] B --> C[AC Load Line - Steeper] end
AC Load Line Characteristics:
Definition: Represents dynamic operation during signal amplification
Equation: ic = (VCC-VCEQ)/R’c - vce/R’c where R’c = RC||RL
Comparison with DC load line:
- AC load line is steeper than DC load line
- Passes through Q-point
- Determines voltage and current signal swings
Significance: Defines maximum undistorted output signal
Limiting factor: Avoiding saturation and cutoff regions
Mnemonic: “AC Amplitude Controlled by Load line Angle”
Question 3(a) [3 marks]#
Draw the fixed bias circuit and explain working of it
Answer:
Diagram:
Vcc
|
R
|
|C
|----Output
|
/|
/ |
/--|
/ |
| |
B E
| |
Rb |
| |
|____|
|
Vin
- Structure: Base resistor connected to VCC, collector resistor for load
- Operation: Fixed base current biases transistor
- Disadvantage: Poor stability against temperature changes
Mnemonic: “Fixed Bias Feeds Base from power supply”
Question 3(b) [4 marks]#
In hartley oscillator L1=5mH, L2=10mH, C=0.01µF. Calculate frequency of oscillations.
Answer:
Solution:
- Given: L1=5mH, L2=10mH, C=0.01µF
- Frequency formula: f = 1/[2π√(C×(L1+L2))]
- Calculation:
- Total inductance LT = L1 + L2 = 5mH + 10mH = 15mH = 15×10⁻³ H
- C = 0.01µF = 1×10⁻⁸ F
- f = 1/[2π√(15×10⁻³ × 1×10⁻⁸)]
- f = 1/[2π√(15×10⁻¹¹)]
- f = 1/[2π×3.873×10⁻⁶]
- f = 1/[24.33×10⁻⁶]
- f = 41,101 Hz ≈ 41.1 kHz
Mnemonic: “For Hartley’s frequency, add coils then take square root”
Question 3(c) [7 marks]#
Draw and explain the frequency response curve of two stage RC coupled amplifier.
Answer:
Diagram:
graph TD subgraph Frequency Response A[Low Frequency] --> B[Mid Frequency] B --> C[High Frequency] end
Two-Stage RC Coupled Amplifier Frequency Response:
Low-frequency region: Gain rises with frequency (< 50Hz)
- Limited by coupling and bypass capacitors
Mid-frequency region: Constant maximum gain (50Hz-20kHz)
- Flat response, ideal operating region
High-frequency region: Gain drops with frequency (> 20kHz)
- Limited by transistor capacitances and Miller effect
Bandwidth: Range of frequencies with gain ≥ 70.7% of maximum gain
Cutoff frequencies: Points where gain drops by 3dB (0.707 times max gain)
Mnemonic: “Low-flat-high: capacitors block, amplify well, then roll off”
Question 3(a OR) [3 marks]#
Explain in detail barkhausen criterion for oscillation.
Answer:
Barkhausen Criterion:
Condition | Requirement |
---|---|
Loop Gain | Must equal exactly 1 (Aβ = 1) |
Phase Shift | Must be 0° or 360° around loop |
- Purpose: Ensures sustained oscillations without damping
- Consequences:
- If Aβ < 1: Oscillations die out
- If Aβ > 1: Oscillations grow until limited by nonlinearity
- If Aβ = 1: Stable oscillations maintained
Mnemonic: “Barkhausen’s Balance: Loop Gain=1, Phase=360°”
Question 3(b OR) [4 marks]#
Explain the effect of negative feedback on the gain of amplifier
Answer:
Effect of Negative Feedback on Amplifier Gain:
Parameter | Without Feedback | With Feedback |
---|---|---|
Voltage Gain | A | A/(1+Aβ) |
Stability | Less stable | More stable |
Bandwidth | Lower | Higher |
Distortion | Higher | Lower |
- Gain reduction: Gain decreases by factor (1+Aβ)
- Gain-bandwidth tradeoff: Bandwidth increases as gain decreases
- Gain stabilization: Less affected by temperature and component variations
Mnemonic: “Negative Feedback: Less Gain, More Stability”
Question 3(c OR) [7 marks]#
Draw fan regulator circuit and explain how it will control the speed of fan.
Answer:
Diagram:
graph LR A[AC Supply] --> B[DIAC] B --> C[TRIAC] C --> D[Fan] E[Variable Resistor] --> F[RC Network] F --> B
Fan Regulator Operation:
Control method: Phase angle control using TRIAC and DIAC
Working principle: RC network creates variable phase shift
Speed control: Variable resistor adjusts RC time constant
Operation sequence:
- RC network delays DIAC firing
- DIAC triggers TRIAC at adjustable point in AC cycle
- TRIAC conducts for remaining portion of AC half-cycle
- Less conduction time = lower power to fan = slower speed
Advantages: Simple design, smooth control, energy efficient
Applications: Ceiling fans, exhaust fans, cooling systems
Mnemonic: “Delay the TRIAC firing, control fan’s speed”
Question 4(a) [3 marks]#
Write short note on natural commutation
Answer:
Natural Commutation:
- Definition: SCR turns off automatically when current falls below holding current
- Process: Occurs in AC circuits at each zero-crossing point
- Requirements: No external components needed, inherent to AC operation
Mnemonic: “Natural Commutation: Zero Current Crossings Turn Off Thyristors”
Question 4(b) [4 marks]#
Explain the parameters gain and bandwidth of amplifier.
Answer:
Amplifier Parameters:
Parameter | Definition | Formula |
---|---|---|
Gain (A) | Ratio of output to input signal | A = Vout/Vin |
Bandwidth (BW) | Frequency range with gain ≥ 70.7% of maximum | BW = fH - fL |
- Gain-bandwidth product: Remains constant (GBP = Gain × Bandwidth)
- Cutoff frequencies: Lower (fL) and higher (fH) frequencies where gain drops by 3dB
- Significance: Determines amplifier’s ability to handle different frequencies
Mnemonic: “Good Amplifiers Balance Width and Magnitude”
Question 4(c) [7 marks]#
Draw the construction and characteristics of triac and describe working of it, also write the application of triac.
Answer:
TRIAC Construction and Characteristics:
MT2
|
------+------
/ | \
/ P | N \
+--------+--------+
| | |
| N | P |
+--------+--------+
| | |
| P | N |
+--------+--------+
\ | /
\ | /
------+------
|
MT1
|
G
I-V Characteristics:
I
^
| /|
| / |
| / |
|---+---|----> V
| / |
| / |
| / |
TRIAC Operation:
- Structure: Five-layer PNPN bidirectional device
- Switching: Conducts in both directions when triggered
- Triggering modes: Four quadrant operation possible
- Turn-off: Natural commutation at current zero-crossing
Applications:
- Light dimmers
- Fan speed controllers
- Heater controls
- Motor speed regulation
- AC power switching
Mnemonic: “TRIAC Takes AC Control in Both Directions”
Question 4(a OR) [3 marks]#
Write any three application of SCR.
Answer:
Applications of SCR:
Application | Function |
---|---|
DC Motor Speed Control | Provides variable DC to motors |
Battery Chargers | Regulates charging current |
Power Inverters | Converts DC to AC efficiently |
- Advantages: High power handling, efficient control, robust operation
- Limitations: Requires forced commutation in DC circuits
Mnemonic: “SCR Controls DC - Motors, Batteries, Inverters”
Question 4(b OR) [4 marks]#
Explain holding current and latching current with reference to SCR
Answer:
SCR Current Parameters:
Parameter | Definition | Typical Values |
---|---|---|
Holding Current (IH) | Minimum current to maintain conduction | 5-40 mA |
Latching Current (IL) | Minimum current to establish conduction | 10-100 mA |
- Latching current: Must be exceeded briefly after triggering for SCR to latch
- Holding current: Must be maintained to keep SCR in conduction
- Relationship: Usually IL > IH
- Significance: Critical for reliable switching operation
Mnemonic: “Latch with more, Hold with less, both keep SCR conducting”
Question 4(c OR) [7 marks]#
Draw and explain in detail block diagram of operational amplifier.
Answer:
Operational Amplifier Block Diagram:
graph LR A[Input Differential Stage] --> B[Intermediate Stage] B --> C[Output Stage] D[Bias Circuit] --> A & B & C E[Frequency Compensation] --> B
Op-Amp Blocks and Functions:
- Input differential stage:
- High input impedance
- Rejects common-mode signals
- Provides differential voltage gain
- Intermediate stage:
- Additional voltage gain
- Level shifting
- Frequency compensation
- Output stage:
- Low output impedance
- Current amplification
- Power capability for driving loads
- Bias circuit:
- Establishes proper operating points
- Temperature stability
- Frequency compensation:
- Prevents oscillation
- Controls frequency response
Mnemonic: “Differential Input, Gain in Middle, Power at Output”
Question 5(a) [3 marks]#
Draw and explain in brief inverting amplifier.
Answer:
Inverting Amplifier Circuit:
Rf
___
Vin---| |-----+
--- |
|
_|_
+------+ / \
| |---+ +---Vout
| | \___/
Vin-+ | |
|Op-Amp| |
+------+ |
|
---
///
- Gain formula: Vout = -(Rf/Rin) × Vin
- Operation: Input signal inverted with amplification
- Virtual ground: Inverting input maintained at 0V
Mnemonic: “Inverting means Negative Gain equals -Rf/Rin”
Question 5(b) [4 marks]#
Draw and explain the block diagram of regulated power supply.
Answer:
Regulated Power Supply Block Diagram:
graph LR A[Transformer] --> B[Rectifier] B --> C[Filter] C --> D[Regulator] D --> E[Output] F[Reference] --> D G[Feedback] --> D
Regulated Power Supply Stages:
- Transformer: Steps down AC voltage to required level
- Rectifier: Converts AC to pulsating DC (diode bridge)
- Filter: Smooths pulsating DC (capacitors)
- Regulator: Maintains constant output despite variations
- Reference: Provides stable comparison voltage
- Feedback: Monitors output and adjusts regulation
Mnemonic: “Transform, Rectify, Filter, Regulate for Stable DC”
Question 5(c) [7 marks]#
Draw and explain astable multivibrator.
Answer:
Astable Multivibrator Using 555 Timer:
graph TD subgraph 555 Timer A[Threshold] --> B[Flip-Flop] C[Trigger] --> B B --> D[Output] end E[R1] & F[R2] & G[C] --> A & C
Operation of Astable Multivibrator:
Configuration: Free-running oscillator with no stable states
Timing components: External R1, R2, and C
Oscillation process:
- Capacitor charges through R1+R2
- Capacitor discharges through R2
- Continuous charging/discharging cycle
Output waveform: Rectangular with duty cycle based on R1/R2 ratio
Frequency formula: f = 1.44/((R1+2R2)×C)
Applications: Clock generation, LED flashers, tone generators
Advantages: Simple design, stable frequency, adjustable duty cycle
Mnemonic: “Always Switching, Time set by RC, Both states Least stable”
Question 5(a OR) [3 marks]#
In an op amp non-inverting amplifier R1=2kΩ and Rf=200kΩ. Find the voltage gain of non-inverting amplifier.
Answer:
Solution:
Given: R1 = 2kΩ, Rf = 200kΩ
Non-inverting amplifier gain formula: A = 1 + (Rf/R1)
Calculation:
- A = 1 + (200kΩ/2kΩ)
- A = 1 + 100
- A = 101
Result: Voltage gain of non-inverting amplifier is 101
Significance: Output voltage will be 101 times the input voltage
Mnemonic: “Non-inverting amplifier gain: One plus Feedback over Ground”
Question 5(b OR) [4 marks]#
Draw and explain in brief circuit to get -5V regulated dc output voltage.
Answer:
Negative Voltage Regulator Circuit:
+--------+
| |
Vin--+ +---Vout (-5V)
| 7905 |
| |
+--------+
|
---
///
Circuit Operation:
- Key component: 7905 negative voltage regulator IC
- Input requirement: Negative DC voltage (typically -7V to -25V)
- Filtering: Input and output capacitors for stability
- Regulation method: Series pass element with feedback control
- Output characteristics: Fixed -5V with current up to 1A
Mnemonic: “79XX for Negative, 78XX for Positive regulated voltage”
Question 5(c OR) [7 marks]#
Draw and explain the block diagram of SMPS.
Answer:
SMPS Block Diagram:
graph LR A[AC Input] --> B[EMI Filter] B --> C[Rectifier & Filter] C --> D[High-Frequency Inverter] D --> E[Transformer] E --> F[Output Rectifier] F --> G[Output Filter] G --> H[DC Output] I[Feedback & Control] --> D H --> I
SMPS Operation:
- Input stage: Filters EMI, rectifies AC to high-voltage DC
- Switching stage: Converts DC to high-frequency AC (20-100 kHz)
- Transformer: Provides isolation and voltage transformation
- Output stage: Rectifies and filters to produce clean DC
- Feedback control: Regulates output by adjusting switching duty cycle
Advantages of SMPS:
- High efficiency (80-90%) due to switching operation
- Small size and weight from high-frequency transformer
- Wide input voltage range with stable output
- Multiple output voltages possible from single transformer
Applications:
- Computer power supplies
- Electronic device chargers
- Industrial power systems
Mnemonic: “Switch More Power Smartly: High frequency saves size and energy”