Question 1(a) [3 marks]#
Explain thermal runaway in detail.
Answer: Thermal runaway is a destructive process where a transistor gets increasingly hotter until it fails.
Diagram:
flowchart LR A[Heat Increases] --> B[Collector Current Rises] B --> C[More Power Dissipation] C --> D[More Heat Generated] D --> A
- Cause: Increased temperature decreases base-emitter voltage
- Effect: Collector current increases with temperature
- Result: Self-reinforcing cycle of heating leads to destruction
Mnemonic: “Heat Rises, Current Climbs, Transistor Dies”
Question 1(b) [4 marks]#
Draw and explain fixed bias method.
Answer: Fixed bias uses a single resistor from base to voltage supply for biasing.
Circuit Diagram:
graph LR VCC((+VCC)) --- RB[RB] RB --- B[B] B --- BE[BE Junction] BE --- E[E] E --- GND((GND)) B --- BC[BC Junction] BC --- C[C] C --- RC[RC] RC --- VCC
- Working: Base current (IB) = (VCC - VBE)/RB
- Characteristics: Simple circuit but poor stability
- Disadvantage: Highly sensitive to temperature variations
- Application: Used in small signal circuits where stability isn’t critical
Mnemonic: “Fixed Bias: One Resistor, Poor Stability”
Question 1(c) [7 marks]#
List the biasing methods. Draw the circuit of voltage divider type bias method and explain it.
Answer: The biasing methods for transistors include several techniques for establishing proper operating points.
Table: Transistor Biasing Methods
Method | Stability | Complexity | Temperature Sensitivity |
---|---|---|---|
Fixed Bias | Poor | Simple | High |
Collector-to-Base Bias | Medium | Medium | Medium |
Voltage Divider Bias | Excellent | Complex | Low |
Emitter Bias | Good | Medium | Low |
Circuit Diagram:
graph TD VCC((+VCC)) --- R1[R1] VCC --- RC[RC] R1 --- N1((Node)) N1 --- R2[R2] N1 --- B[Base] B --- BE[BE Junction] BE --- E[Emitter] E --- RE[RE] RE --- GND((GND)) B --- BC[BC Junction] BC --- C[Collector] C --- RC R2 --- GND
- Working: R1-R2 divider creates stable base voltage
- Advantage: Less affected by β variations and temperature
- Key feature: RE provides negative feedback stabilization
- Application: Most widely used in amplifier circuits
Mnemonic: “Divide and Rule for Stable Bias”
Question 1(c OR) [7 marks]#
Draw and explain DC load line for common emitter amplifier.
Answer: DC load line represents all possible operating points of a transistor.
Graph:
graph TD subgraph DC Load Line A["VCE=VCC (IC=0)"] --- B["IC=VCC/RC (VCE=0)"] Q["Q-Point (Operating Point)"] end style Q fill:#f00,stroke:#333,stroke-width:2px
Equation Table:
Parameter | Equation | Description |
---|---|---|
Maximum VCE | VCC | When IC = 0 |
Maximum IC | VCC/RC | When VCE = 0 |
Load Line Equation | IC = (VCC - VCE)/RC | All possible operating points |
Q-point | Set by biasing | Stable operation point |
- Purpose: Graphically shows relationship between IC and VCE
- Significance: Helps determine operating point (Q-point)
- Application: Essential for amplifier design and analysis
Mnemonic: “Maximum Current or Maximum Voltage, Never Both”
Question 2(a) [3 marks]#
Explain term (i) Gain (ii) Bandwidth.
Answer: These are key parameters that describe amplifier performance.
Table: Amplifier Parameters
Parameter | Definition | Unit | Significance |
---|---|---|---|
Gain | Ratio of output to input signal | dB | Amplification power |
Bandwidth | Range of frequencies with gain not less than 70.7% of maximum | Hz | Useful frequency range |
- Gain Types: Voltage gain (Av), Current gain (Ai), Power gain (Ap)
- Bandwidth Formula: BW = fH - fL (Higher cutoff - Lower cutoff)
- Related Parameter: Gain-Bandwidth Product (constant for a specific amplifier)
Mnemonic: “Gain Makes Bigger, Bandwidth Makes Broader”
Question 2(b) [4 marks]#
List advantages and disadvantages of negative feedback in amplifier.
Answer: Negative feedback significantly improves amplifier performance but with tradeoffs.
Table: Negative Feedback Characteristics
Advantages | Disadvantages |
---|---|
Increased bandwidth | Reduced gain |
Reduced distortion | More input signal required |
Improved stability | More complex circuit |
Better noise immunity | Potential oscillation if improperly designed |
Controlled input/output impedances | Higher power consumption |
Mnemonic: “Stabilize Wide And Clean, Just Give Up Gain”
Question 2(c) [7 marks]#
Draw and explain Hartley oscillator.
Answer: Hartley oscillator generates sine waves using inductive feedback.
Circuit Diagram:
graph TD VCC((+VCC)) --- RC[RC] RC --- C[Collector] C --- C1[C1] C1 --- B[Base] B --- RB1[RB1] RB1 --- VCC B --- RB2[RB2] RB2 --- GND((GND)) C --- OUT((Output)) E[Emitter] --- L2[L2] L2 --- GND C1 --- L1[L1] L1 --- L2 E --- BE[BE Junction] BE --- B E --- CE[CE] CE --- GND
- Frequency Determination: By L1, L2 and C1 values (f = 1/2π√(L × C))
- Feedback Mechanism: Inductive voltage divider (L1 and L2)
- Identifying Feature: Tapped inductor or two inductors in series
- Applications: RF signal generation, radio transmitters, communication systems
Mnemonic: “Hartley Has Helpful Inductors”
Question 2(a OR) [3 marks]#
State and explain Barkhausen criterion of oscillation.
Answer: Barkhausen criteria define conditions for sustained oscillations.
The Two Main Criteria:
graph LR A["Loop Gain = 1"] --> C["Sustained Oscillation"] B["Phase Shift = 360°"] --> C
- Loop Gain Condition: |Aβ| = 1 (exactly 1 for sustained oscillation)
- Phase Shift Condition: ∠Aβ = 0° or 360° (signal reinforcement)
- Practical Design: Initial |Aβ| > 1, eventually stabilizes at |Aβ| = 1
Mnemonic: “For Oscillation: Unit Gain, Zero Phase”
Question 2(b OR) [4 marks]#
Compare negative and positive feedback amplifier.
Answer: Feedback type dramatically changes amplifier behavior.
Comparison Table:
Parameter | Negative Feedback | Positive Feedback |
---|---|---|
Gain | Decreases | Increases |
Bandwidth | Increases | Decreases |
Distortion | Reduces | Increases |
Stability | Improves | Reduced (may oscillate) |
Noise | Reduces | Amplifies |
Applications | Stable amplifiers | Oscillators, triggers |
Input/Output impedance | Controllable | Less predictable |
Mnemonic: “Negative Stabilizes, Positive Oscillates”
Question 2(c OR) [7 marks]#
Draw and explain colpitt’s oscillator.
Answer: Colpitt’s oscillator uses capacitive voltage divider for feedback.
Circuit Diagram:
graph TD VCC((+VCC)) --- RC[RC] RC --- C[Collector] C --- L[L] L --- N((Node)) N --- C1[C1] N --- C2[C2] C2 --- GND((GND)) C1 --- B[Base] B --- RB1[RB1] RB1 --- VCC B --- RB2[RB2] RB2 --- GND C --- CB[Coupling Capacitor] CB --- OUT((Output)) E[Emitter] --- RE[RE] RE --- GND C1 --- E E --- BE[BE Junction] BE --- B
- Frequency Determination: By L, C1 and C2 values (f = 1/2π√(L × Ceq))
- Feedback Mechanism: Capacitive voltage divider (C1 and C2)
- Identifying Feature: Two capacitors in series across inductor
- Advantage: More stable frequency than Hartley
Mnemonic: “Colpitts Catches Capacitive Current”
Question 3(a) [3 marks]#
Explain about DIAC.
Answer: DIAC (Diode for Alternating Current) is a bidirectional trigger diode.
Symbol and Structure:
- Operation: Conducts in both directions after breakdown voltage
- Characteristic: Symmetrical V-I curve in both directions
- Key Parameter: Breakover voltage (typically 30-40V)
- Main Application: Triggering TRIACs in AC power control
Mnemonic: “DIAC: Double Direction Breakdown Device”
Question 3(b) [4 marks]#
Explain triggering methods of SCR.
Answer: SCR can be triggered to conduct by several methods.
Table: SCR Triggering Methods
Method | Description | Advantages | Limitations |
---|---|---|---|
Gate Triggering | Current pulse at gate | Most common, controllable | Requires control circuit |
Temperature | High temperature | No external circuit | Uncontrolled, unreliable |
Voltage | Exceeding breakover voltage | No external circuit | Stresses device, uncontrolled |
dv/dt | Rapid voltage rise | Simple | Can cause unwanted triggering |
Light | Photons hitting junction | Electrical isolation | Requires special packaging |
Mnemonic: “Gate Voltage Temperature Rate Light”
Question 3(c) [7 marks]#
Draw symbol and construction of SCR. Also draw and explain V-I characteristic of SCR.
Answer: SCR (Silicon Controlled Rectifier) is a four-layer PNPN semiconductor device with three terminals.
Symbol:
Construction:
graph TD A[Anode: P+] --- J3[Junction J3] J3 --- N[N-layer] N --- J2[Junction J2] J2 --- P[P-layer] P --- G[Gate] P --- J1[Junction J1] J1 --- K[Cathode: N+]
V-I Characteristic:
graph TD subgraph V-I Characteristic A["Forward Blocking
(OFF State)"] --> B["Forward Conduction
(ON State)"] C["Reverse Blocking"] --> D["Reverse Breakdown"] end
- Forward Blocking: Low current until triggering
- Forward Conduction: High current after triggering (latched)
- Holding Current: Minimum current to maintain conduction
- Latching Current: Minimum current to start latching
- Reverse Blocking: Blocks current in reverse direction
Mnemonic: “Trigger Once, Conducts Forever, Until Current Falls”
Question 3(a OR) [3 marks]#
Explain about natural commutation technique of SCR.
Answer: Natural commutation turns off SCR without external circuit when AC current naturally reaches zero.
Process Diagram:
graph LR A["AC Supply
Crosses Zero"] --> B["Current Falls
Below Holding"] B --> C["SCR Turns OFF
Naturally"] C --> D["Remains OFF Until
Next Trigger"]
- Principle: Uses natural zero-crossing of AC supply
- Advantage: No additional commutation circuit required
- Application: AC power control circuits, light dimmers
- Limitation: Only works with AC supplies, not DC
Mnemonic: “Natural Commutation: Zero Current, Zero Effort”
Question 3(b OR) [4 marks]#
Explain about Opto-couplers.
Answer: Opto-couplers provide electrical isolation using light transmission.
Structure:
Table: Opto-coupler Types
Type | Photodetector | Speed | CTR | Applications |
---|---|---|---|---|
Standard | Phototransistor | Medium | 20-100% | General isolation |
High-speed | Photodiode | Fast | 10-50% | Digital communication |
TRIAC | Photo-TRIAC | Slow | N/A | AC power control |
Linear | Photodarlington | Slow | 100-1000% | Analog signals |
- CTR: Current Transfer Ratio (output/input current)
- Key Feature: Complete electrical isolation between circuits
- Benefits: Noise immunity, voltage level shifting, safety
Mnemonic: “Light Leaps gaps Electrons Can’t”
Question 3(c OR) [7 marks]#
Draw symbol and construction of TRIAC. Also draw and explain V-I characteristic of TRIAC.
Answer: TRIAC (Triode for Alternating Current) is a bidirectional three-terminal semiconductor device.
Symbol:
Construction:
graph TD MT2[Main Terminal 2] --- P1[P-layer] P1 --- N1[N-layer] N1 --- P2[P-layer] P2 --- N2[N-layer] P2 --- G[Gate] N2 --- MT1[Main Terminal 1]
V-I Characteristic:
graph TD subgraph Quadrant I A1["MT2+, MT1-
Forward Blocking"] --> B1["MT2+, MT1-
Forward Conducting"] end subgraph Quadrant III A2["MT2-, MT1+
Reverse Blocking"] --> B2["MT2-, MT1+
Reverse Conducting"] end
- Bidirectional: Conducts in both directions after triggering
- Quadrant Operation: Four triggering modes based on polarities
- Applications: AC power control, light dimmers, motor control
- Advantage over SCR: Controls both halves of AC cycle
Mnemonic: “TRIAC: Two-way Road In AC Circuits”
Question 4(a) [3 marks]#
State characteristics of ideal Op-Amp.
Answer: An ideal Op-Amp has perfect characteristics that real Op-Amps approximate.
Table: Ideal Op-Amp Characteristics
Parameter | Ideal Value | Meaning |
---|---|---|
Open-loop gain | Infinite | Amplifies smallest input difference |
Input impedance | Infinite | Draws no current from source |
Output impedance | Zero | Can drive any load |
Bandwidth | Infinite | Works at all frequencies |
CMRR | Infinite | Rejects common-mode signals |
Slew rate | Infinite | Instantaneous output change |
Offset voltage | Zero | No output with zero input |
Mnemonic: “Infinite Gain, Impedance, Bandwidth; Zero Offset, Output Z”
Question 4(b) [4 marks]#
Draw and explain monostable multivibrator using 555 timer IC.
Answer: Monostable multivibrator produces single pulse of fixed duration when triggered.
Circuit:
graph TD VCC((+VCC)) --- R[R] R --- DIS[7:DIS] R --- RST[4:RST] R --- VCC_PIN[8:VCC] TRG[2:TRIG] --- GND((GND)) THR[6:THRES] --- C[C] C --- GND TRG --- SW[Trigger Switch] SW --- GND DIS --- THR VCC_PIN --- IC[555 Timer] RST --- IC TRG --- IC THR --- IC IC --- OUT[3:OUT] IC --- CTRL[5:CTRL] CTRL --- CC[0.01µF] CC --- GND GND --- GND_PIN[1:GND] GND_PIN --- IC OUT --- Output((Output))
- Operation: Negative trigger produces output pulse with duration T = 1.1RC
- Stable State: Output LOW until triggered
- Timing Control: R and C values determine pulse width
- Retriggering: Can be retriggered after timeout
Mnemonic: “One Shot Wonder: Trigger Once, Pulse Once”
Question 4(c) [7 marks]#
Draw and explain Inverting amplifier using IC 741. Also draw input and output waveforms.
Answer: Inverting amplifier reverses polarity while amplifying input signal.
Circuit:
graph LR IN((Input)) --- Rin[Rin] Rin --- INV[2:Inv] INV --- FB[Feedback] FB --- Rf[Rf] Rf --- OUT((Output)) NINV[3:Non-Inv] --- GND((GND)) INV --- IC[741] NINV --- IC IC --- OUT IC --- VCC[7:+VCC] IC --- VEE[4:-VEE]
Waveforms:
- Gain Equation: Av = -Rf/Rin (negative sign indicates inversion)
- Input Impedance: Equal to Rin
- Virtual Ground: Inverting input maintained near 0V
- Bandwidth: Depends on gain (higher gain = lower bandwidth)
- Applications: Signal conditioning, audio amplifiers
Mnemonic: “Flips and Multiplies by Rf/Rin”
Question 4(a OR) [3 marks]#
Draw symbol and pin diagram of IC 741.
Answer: The 741 is a popular general-purpose operational amplifier.
Symbol:
8-Pin DIP Package:
- Pin Functions: Inverting input, non-inverting input, output, power supplies
- Optional Pins: Offset null, no connection
- Power Supply: Typically ±15V or ±12V dual supply
Mnemonic: “Never Invert Plus, Very Output Not Connected”
Question 4(b OR) [4 marks]#
Explain term (i) CMRR (II) Slew Rate.
Answer: These parameters define operational amplifier performance limits.
Table: Key Op-Amp Parameters
Parameter | Definition | Typical Value | Significance |
---|---|---|---|
CMRR (Common Mode Rejection Ratio) | Ratio of differential gain to common-mode gain | 90-120 dB | Higher is better |
Slew Rate | Maximum rate of output voltage change | 0.5-50 V/μs | Higher for faster signals |
- CMRR Formula: CMRR = 20 log₁₀(Ad/Acm) dB
- CMRR Importance: Rejects noise common to both inputs
- Slew Rate Formula: SR = dVo/dt (max)
- Slew Rate Limitation: Causes distortion at high frequencies
Mnemonic: “CMRR Crushes Common Noise, Slew Rate Shows Speed”
Question 4(c OR) [7 marks]#
Draw and explain Astable multivibrator using 555 timer IC.
Answer: Astable multivibrator generates continuous square waves without external trigger.
Circuit:
graph TD VCC((+VCC)) --- RA[RA] RA --- RB[RB] RB --- DIS[7:DIS] RA --- RST[4:RST] RA --- VCC_PIN[8:VCC] TRG[2:TRIG] --- C[C] THR[6:THRES] --- C C --- GND((GND)) TRG --- THR VCC_PIN --- IC[555 Timer] RST --- IC TRG --- IC THR --- IC IC --- OUT[3:OUT] IC --- CTRL[5:CTRL] CTRL --- CC[0.01µF] CC --- GND GND --- GND_PIN[1:GND] GND_PIN --- IC OUT --- Output((Output)) DIS --- THR
Output Waveform:
- Timing: T1 = 0.693(RA+RB)C, T2 = 0.693(RB)C
- Frequency: f = 1.44/((RA+2RB)C)
- Duty Cycle: Can be adjusted by RA and RB
- Applications: Clock generators, LED flashers, tone generators
Mnemonic: “Always Oscillating, Never Stopping”
Question 5(a) [3 marks]#
Draw basic block diagram of regulated power supply and explain it.
Answer: A regulated power supply converts AC to stable DC voltage.
Block Diagram:
flowchart LR A[AC Input] --> B[Transformer] B --> C[Rectifier] C --> D[Filter] D --> E[Regulator] E --> F[DC Output]
- 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
- Output: Stable DC voltage for electronic circuits
Mnemonic: “Transformer Rectifies Filters Regulates”
Question 5(b) [4 marks]#
Draw and explain summing amplifier using Op-amp.
Answer: Summing amplifier adds multiple input signals with weighted proportions.
Circuit:
graph LR IN1((V1)) --- R1[R1] IN2((V2)) --- R2[R2] IN3((V3)) --- R3[R3] R1 --- SUM((Summing Point)) R2 --- SUM R3 --- SUM SUM --- INV[Inv Input] INV --- IC[Op-Amp] IC --- OUT((Output)) OUT --- Rf[Rf] Rf --- SUM NINV[Non-Inv Input] --- GND((GND)) NINV --- IC
- Output Equation: Vout = -Rf(V1/R1 + V2/R2 + V3/R3)
- Special Case: When all resistors equal, Vout = -Rf/R × (V1 + V2 + V3)
- Applications: Audio mixing, analog computers, signal averaging
- Variations: Inverting and non-inverting configurations available
Mnemonic: “Multiple Inputs, One Output, Weighted Addition”
Question 5(c) [7 marks]#
Draw and explain the circuit diagram of 3 terminal voltage regulator using IC LM317 with adjustable output voltage.
Answer: LM317 is a versatile adjustable voltage regulator with output range of 1.25V to 37V.
Circuit:
graph TD VIN((Vin)) --- C1[C1] C1 --- IN[Input] IN --- LM317[LM317] LM317 --- OUT[Output] OUT --- C2[C2] C2 --- VOUT((Vout)) OUT --- R1[R1=240Ω] R1 --- ADJ[Adjust] ADJ --- R2[R2] R2 --- GND((GND)) ADJ --- LM317 C2 --- GND C1 --- GND
- Output Voltage: VOUT = 1.25V(1 + R2/R1)
- Fixed Components: R1 = 240Ω, reference voltage = 1.25V
- Adjustability: Changing R2 sets desired output voltage
- Protection Features: Current limiting, thermal shutdown
- Applications: Variable power supplies, battery chargers
- Advantages: Few external components, robust protection
Mnemonic: “Adjust with R2, Reference Stays at 1.25”
Question 5(a OR) [3 marks]#
State full form of SMPS. Also state applications of SMPS.
Answer: SMPS stands for Switch Mode Power Supply, a modern efficient power conversion technology.
Applications Table:
Application | SMPS Type | Advantages |
---|---|---|
Computer Power Supply | ATX | High efficiency, multiple outputs |
Mobile Phone Chargers | Flyback | Compact size, lightweight |
LED Drivers | Buck | Efficient dimming capability |
TV Power Supply | Forward | Good regulation, multiple outputs |
Industrial Controls | Push-Pull | High power capability |
Battery Chargers | Boost | Adjustable charging profiles |
- Key Benefits: High efficiency (80-95%), small size, lightweight
- Drawbacks: EMI generation, more complex circuits
Mnemonic: “Switch Mode Powers Small devices”
Question 5(b OR) [4 marks]#
Draw and explain differentiator using Op-amp.
Answer: Differentiator produces output proportional to rate of change of input.
Circuit:
graph LR IN((Input)) --- C[C] C --- INV[Inv Input] INV --- IC[Op-Amp] IC --- OUT((Output)) OUT --- Rf[Rf] Rf --- INV NINV[Non-Inv Input] --- GND((GND)) NINV --- IC
Input/Output Waveforms:
- Equation: Vout = -RC × d(Vin)/dt
- Function: Converts square wave to spikes, triangle to square
- Practical Issue: High noise sensitivity
- Modification: Small resistor in series with C to limit high-frequency gain
- Applications: Waveshaping, rate-of-change detection
Mnemonic: “Rate of Change Goes In, Amplitude Comes Out”
Question 5(c OR) [7 marks]#
Draw and explain the circuit diagram of -12 V regulated dc power supply.
Answer: A -12V regulated supply provides stable negative voltage for analog circuits.
Circuit Diagram:
graph TD AC((AC Input)) --- TRANS[Transformer] TRANS --- D1[D1] D1 --- D2[D2] D2 --- C1[Filter Cap] C1 --- IC[7912 IC] IC --- C2[0.1µF] C2 --- OUT((-12V Output)) C1 --- GND((GND)) IC --- GND C2 --- GND D3[D3] --- D4[D4] D3 --- TRANS D4 --- C1
- Working Principle: Full-wave rectifier creates negative voltage
- Components: Transformer, bridge rectifier, filter capacitors, 7912 regulator
- Regulator IC: 7912 provides fixed -12V output with internal protection
- Filter Capacitors: Input capacitor filters ripple, output capacitor improves transient response
- Applications: Op-amp negative rail, analog circuits, audio equipment
Mnemonic: “Full Bridge, Big Capacitor, 7912 Regulates Negative”