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A

Section A: Long Answer Questions

Attempt all / any as specified.

4 questions
1long14 marks

(a) Distinguish between intrinsic and extrinsic semiconductors. Explain how n-type and p-type semiconductors are formed by doping, clearly identifying the majority and minority carriers in each case. (7)

(b) Define drift current and diffusion current in a semiconductor. A silicon bar is doped with 5×10165\times10^{16} donor atoms/cm³. If the intrinsic carrier concentration ni=1.5×1010n_i = 1.5\times10^{10} /cm³ at room temperature, calculate the equilibrium electron and hole concentrations. Also explain the effect of temperature on the conductivity of an intrinsic semiconductor. (7)

semiconductor-physicscarrier-transport
2long14 marks

(a) Why is biasing necessary in a BJT amplifier? With a neat circuit diagram, explain the voltage-divider (self) bias configuration and show why it provides better stability against variations in β\beta and temperature than fixed bias. (8)

(b) For the voltage-divider bias circuit, VCC=12 VV_{CC}=12\text{ V}, R1=40 kΩR_1=40\text{ k}\Omega, R2=10 kΩR_2=10\text{ k}\Omega, RC=2 kΩR_C=2\text{ k}\Omega, RE=1 kΩR_E=1\text{ k}\Omega and β=100\beta=100. Determine the Q-point (ICQI_{CQ} and VCEQV_{CEQ}) and comment on the location of the operating point on the DC load line. (6)

bjt-biasingdc-load-lineamplifier-configurations
3long12 marks

(a) Define an ideal operational amplifier and list its ideal characteristics. Explain the significance of the terms input offset voltage, CMRR and slew rate in a practical op-amp. (6)

(b) With a circuit diagram, derive the expression for the output voltage of an inverting summing amplifier with three inputs. Hence design an op-amp circuit that produces an output Vo=(2V1+5V2+V3)V_o = -(2V_1 + 5V_2 + V_3). (6)

operational-amplifiersfeedback
4long10 marks

(a) State the Barkhausen criterion for sustained oscillations and explain why an oscillator does not require any external input signal. (4)

(b) With a neat circuit diagram, explain the operation of an RC phase-shift oscillator using a BJT. Derive the expression for its frequency of oscillation and state the minimum gain required for the amplifier to sustain oscillations. (6)

oscillatorsbarkhausen-criterion
B

Section B: Short Answer Questions

Attempt all / any as specified.

8 questions
5short7 marks

Explain the formation of the depletion region in an unbiased PN junction diode. Sketch and explain the V-I characteristic of a silicon diode under forward and reverse bias, indicating the cut-in voltage and reverse breakdown region.

pn-junction-diodediode-characteristics
6short8 marks

(a) With a circuit diagram and waveforms, explain the working of a full-wave bridge rectifier. (4)

(b) A full-wave rectifier with a capacitor filter feeds a load of 1 kΩ1\text{ k}\Omega. If the peak rectified voltage is 20 V and the filter capacitor is 470μF470\,\mu\text{F} with a supply frequency of 50 Hz, calculate the peak-to-peak ripple voltage and the ripple factor. (4)

rectifiersfiltersripple-factor
7short7 marks

Explain the construction and principle of operation of an n-channel JFET. Define pinch-off voltage and draw its drain (output) characteristics, marking the ohmic, saturation and breakdown regions.

fetjfet-characteristics
8short7 marks

With a neat diagram, explain the structure and operation of an enhancement-type n-channel MOSFET. How does its transfer characteristic differ from that of a depletion-type MOSFET? Define the threshold voltage.

mosfetenhancement-mode
9short7 marks

Compare the common-emitter, common-base and common-collector BJT amplifier configurations in terms of voltage gain, current gain, input impedance, output impedance and phase relationship. State one practical application of each.

amplifier-configurationscommon-emitter
10short7 marks

(a) Draw the circuit of an op-amp integrator and derive the relation between its output and input voltage. (4)

(b) A square wave is applied to the input of an ideal integrator. Sketch the expected output waveform and state one limitation of a practical integrator. (3)

operational-amplifiersintegrator-differentiator
11short7 marks

Explain how a Zener diode acts as a voltage regulator with the help of a circuit diagram. A 6.2 V Zener diode with RZ0R_Z \approx 0 is used to regulate a load from an unregulated 12 V supply through a series resistor of 470Ω470\,\Omega. If the load current is 8 mA, calculate the Zener current and the power dissipated in the Zener diode.

zener-diodevoltage-regulation
12short6 marks

Write short notes on any TWO of the following:

(a) Hartley oscillator

(b) Wien-bridge oscillator

(c) Crystal oscillator and its frequency stability

oscillatorslc-oscillators