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January 2025 term · Electrical and Electronic Circuits · EE1103

Electrical and Electronic Circuits End Term: 13 April 2025, Set QEF3 (January 2025 term)

The IIT Madras BS Electrical and Electronic Circuits (Electrical and Electronic Circuits) End Term paper sat on 13 Apr 2025, in the January 2025 term, set QEF3: 32 questions for 50 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
32
Marks
50
Duration
180 min
MCQ
10
Numerical
22

Updated

Official paper: IIT M ES FOUNDATION AN EXAM QEF3 13 Apr 2025 · No negative marking.

Question 1

+1 markOne correct option
  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 2

+1 markOne correct option

Zeros of a transfer function are frequencies for which the value of the numerator of the transfer function is zero.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 3

+1 markOne correct option
  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 4

+1 markOne correct option

If the collector resistances in a BJT differential amplifier are not perfectly matched the common mode rejection that can be achieved increases.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 5

+1 markOne correct option

In the linear region, the drain current in a MOSFET is independent of VDS.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 6

+1 markOne correct option

A unity power factor implies that all the supplied power is converted into real power and the reactive power is zero.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 7

+1 markOne correct option

Consider an nMOS transistor operating in the saturation region. The drain current flowing through the circuit is ID corresponding to a particular value of VGS. Now if the gate to source voltage is doubled with all other parameters remaining the same, the new drain current would become four times the original value.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 8

+1 markOne correct option
  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 9

+1 markOne correct option

An element and its V - I characteristics are shown in Figure(a) and Figure(b) respectively. The element is non-linear and active.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 10

+1 markOne correct option

The Laplace transform of e^(-7t)u(t) is 1 / (s + 7).

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 11

+1 markNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 10

Question 12

+1 markNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 100

Question 13

+1 markNumerical answer

Based on the above data, answer the given subquestions.

The transconductance gm (in S) is _______

Show answer

Correct answer: 0.04

Question 14

+1 markNumerical answer

Based on the above data, answer the given subquestions.

The magnitude of the small signal voltage gain is _______

Show answer

Correct answer: 360

Question 15

+1 markNumerical answer

Consider the function F(s) = (8s + 4) / (s² +3s +6).
Based on the above data, answer the given subquestions.

The value of f(0⁻) =

Show answer

Correct answer: 8

Question 16

+1 markNumerical answer

Consider the function F(s) = (8s + 4) / (s² +3s +6).
Based on the above data, answer the given subquestions.

Show answer

Correct answer: 0

Question 17

+2 marksNumerical answer

A differential amplifier has a differential gain Ad = 30, common mode gain AC = 0.2. The input voltages V1 = 15 mV and V2 = 5 mV. The output voltage (in mV) is ________

Show answer

Correct answer: 302

Question 18

+2 marksNumerical answer

The zener diode in the regulator circuit shown below has a constant reverse breakdown voltage of 9 V for a zener current greater than or equal to 0.25 mA. The input voltage varies from 10 V to 20 V. The maximum load current (in mA) that can drawn from the circuit ensuring the proper functioning is ________

Show answer

Correct answer: 10.75

Question 19

+2 marksNumerical answer

In a series RLC circuit, if the applied voltage is 50 V (RMS), the voltage across the resistor is 30 V (RMS), the voltage across the capacitor is 40 V (RMS), and the supply frequency is 60 Hz. The RMS value of the current flowing through the circuit is 0.2 A.
Based on the above data, answer the given subquestions.

Determine the RMS value of the voltage (in V) across the inductor

Show answer

Correct answer: 80 (accepted within ±8)

Question 20

+2 marksNumerical answer

In a series RLC circuit, if the applied voltage is 50 V (RMS), the voltage across the resistor is 30 V (RMS), the voltage across the capacitor is 40 V (RMS), and the supply frequency is 60 Hz. The RMS value of the current flowing through the circuit is 0.2 A.
Based on the above data, answer the given subquestions.

Show answer

Correct answer: 150 (accepted within ±15)

Question 21

+2 marksNumerical answer

In a series RLC circuit, if the applied voltage is 50 V (RMS), the voltage across the resistor is 30 V (RMS), the voltage across the capacitor is 40 V (RMS), and the supply frequency is 60 Hz. The RMS value of the current flowing through the circuit is 0.2 A.
Based on the above data, answer the given subquestions.

Determine the value of L (in mH)

Show answer

Correct answer: 1060 (accepted within ±106)

Question 22

+2 marksNumerical answer

In a series RLC circuit, if the applied voltage is 50 V (RMS), the voltage across the resistor is 30 V (RMS), the voltage across the capacitor is 40 V (RMS), and the supply frequency is 60 Hz. The RMS value of the current flowing through the circuit is 0.2 A.
Based on the above data, answer the given subquestions.

Show answer

Correct answer: 13.265 (accepted within ±1.365)

Question 23

+2 marksNumerical answer

In a series RLC circuit, if the applied voltage is 50 V (RMS), the voltage across the resistor is 30 V (RMS), the voltage across the capacitor is 40 V (RMS), and the supply frequency is 60 Hz. The RMS value of the current flowing through the circuit is 0.2 A.
Based on the above data, answer the given subquestions.

Show answer

Correct answer: 250 (accepted within ±25)

Question 24

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Determine the apparent value of threshold voltage Vt (in V)

Show answer

Correct answer: 1.48 (accepted within ±0.15)

Question 25

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Show answer

Correct answer: 5.11 (accepted within ±0.7)

Question 26

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Now, with the same device parameters calculated in Q26 and Q27, the drain current (in μA) expected to flow with VGS = 3.2 V and VDS = 0.1 V?

Show answer

Correct answer: 103.835 (accepted within ±12.775)

Question 27

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

If the device is operated at VGS = 3.2 V, at what value of VDS (in V) will the device enter into saturation?

Show answer

Correct answer: 1.715 (accepted within ±0.175)

Question 28

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

When the device is in saturation at VGS = 3.2 V, what is the corresponding drain current (in mA).

Show answer

Correct answer: 0.905 (accepted within ±0.125)

Question 29

+2.5 marksNumerical answer

With reference to the two-port network shown below, Answer the subquestions.

Show answer

Correct answer: 2 (accepted within ±0.2)

Question 30

+2.5 marksNumerical answer

With reference to the two-port network shown below, Answer the subquestions.

Show answer

Correct answer: 1 (accepted within ±0.1)

Question 31

+2.5 marksNumerical answer

With reference to the two-port network shown below, Answer the subquestions.

Show answer

Correct answer: 1 (accepted within ±0.1)

Question 32

+2.5 marksNumerical answer

With reference to the two-port network shown below, Answer the subquestions.

Show answer

Correct answer: 1 (accepted within ±0.1)