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A

Section A: Long Answer Questions

Attempt all / any as specified.

4 questions
1long12 marks

(a) Explain the input and output characteristics of an n-p-n transistor connected in common-emitter (CE) configuration, clearly indicating the active, cut-off and saturation regions on the output characteristics. [6]

(b) For the voltage-divider biased CE amplifier shown below, VCC=12VV_{CC} = 12\,\text{V}, R1=40kΩR_1 = 40\,\text{k}\Omega, R2=10kΩR_2 = 10\,\text{k}\Omega, RC=2kΩR_C = 2\,\text{k}\Omega, RE=1kΩR_E = 1\,\text{k}\Omega and β=100\beta = 100. Determine the operating point (ICQI_{CQ} and VCEQV_{CEQ}) and comment on the stability of the bias. [6]

bjt-biasingbjt-characteristics
2long12 marks

(a) Define the ideal characteristics of an operational amplifier and explain the significance of the virtual ground concept in an inverting configuration. [5]

(b) Design an op-amp circuit that produces the output Vo=(3V1+5V2+2V3)V_o = -(3V_1 + 5V_2 + 2V_3) from three input voltages V1V_1, V2V_2 and V3V_3. Choose suitable resistor values and draw the complete circuit, stating any assumptions. [7]

operational-amplifiers
3long12 marks

(a) With a neat circuit diagram and relevant waveforms, explain the operation of a full-wave bridge rectifier. Derive expressions for its average (DC) output voltage and ripple factor. [7]

(b) A full-wave bridge rectifier fed from a transformer with peak secondary voltage of 30 V uses a shunt capacitor filter of 470μF470\,\mu\text{F} and feeds a load of 1kΩ1\,\text{k}\Omega at 50 Hz mains frequency. Estimate the DC output voltage and the peak-to-peak ripple voltage. [5]

rectifiersfilterssemiconductor-diodes
4long12 marks

(a) Explain the construction and operation of an n-channel enhancement-type MOSFET. Sketch its drain and transfer characteristics and define the threshold voltage. [7]

(b) Compare a JFET with a BJT with respect to input impedance, control mechanism, noise performance and the meaning of the term 'unipolar device'. [5]

fet-mosfet
B

Section B: Short Answer Questions

Attempt all / any as specified.

8 questions
5short6 marks

Sketch and explain a positive clipper and a positive clamper circuit using a diode. Draw the output waveform for a sinusoidal input of ±10V\pm 10\,\text{V} in each case.

semiconductor-diodes
6short6 marks

A Zener diode having VZ=6.2VV_Z = 6.2\,\text{V} is used as a voltage regulator with a series resistance of 220Ω220\,\Omega from a 12 V supply. If the load draws 15 mA, calculate the current through the Zener diode and the power dissipated in it. State the condition for the regulator to maintain regulation.

zener-diodevoltage-regulation
7short6 marks

(a) Convert (2A.5)16(2A.5)_{16} to its decimal and binary equivalents. [3]

(b) Perform the subtraction (10110010)2(01101101)2(1011\,0010)_2 - (0110\,1101)_2 using 2's complement arithmetic and verify your result in decimal. [3]

number-systems
8short6 marks

(a) State and prove De Morgan's theorems. [3]

(b) Simplify the Boolean expression F=ABˉ+AB+AˉBF = A\bar{B} + AB + \bar{A}B and implement the simplified expression using only NAND gates. [3]

logic-gatesboolean-algebra
9short6 marks

State the Barkhausen criterion for sustained oscillations. With a neat circuit diagram, explain the working of an RC phase-shift oscillator and write the expression for its frequency of oscillation.

oscillators
10short6 marks

For an op-amp integrator, derive the relationship between the output and input voltages. Explain why a high-value resistor is connected in parallel with the feedback capacitor in a practical integrator.

operational-amplifiers
11short6 marks

Explain the formation of the depletion region in an unbiased p-n junction. Describe how the width of the depletion region and the junction current change under forward bias and reverse bias.

semiconductor-diodes
12short6 marks

Define the parameters α\alpha and β\beta of a transistor and derive the relationship between them. If a transistor has β=120\beta = 120, calculate α\alpha and the value of the leakage current effect described by ICEOI_{CEO} in terms of ICBOI_{CBO}.

bjt-characteristics