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January 2025 term · Electronic Systems Thinking and Circuits · EE1101

Electronic Systems Thinking and Circuits Qualifier: 16 March 2025 (January 2025 term)

The IIT Madras BS Electronic Systems Thinking and Circuits (ESTC) Qualifier paper sat on 16 Mar 2025, in the January 2025 term: 27 questions for 40 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
27
Marks
40
Duration
120 min
MCQ
10
Numerical
17
Take as mock testPractise with answers

Updated

Official paper: IIT M ES QUALIFIER AN EXAM QEQ1 16 Mar 2025 · No negative marking.

Question 1

+1 markOne correct option

If the magnitude of the voltage across a given capacitor is increased, the amount of stored charge also increases.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 1 on its own page

Question 2

+1 markOne correct option
  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 2 on its own page

Question 3

+1 markOne correct option

Four equal-value resistors are connected in parallel across a voltage source of 5 V. A current of 2.5 mA is measured flowing out of the source. Then the value of each resistor is 0.25 Ω.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 3 on its own page

Question 4

+1 markOne correct option

The time period of any wave is generally measured as the time interval between a positive peak and the succeeding negative peak.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 4 on its own pageAlso asked in Quiz 1 26 Oct 2025, Quiz 1 26 Oct 2025, Quiz 1 26 Oct 2025, Quiz 1 26 Oct 2025 and 3 more

Question 5

+1 markOne correct option
  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 5 on its own page

Question 6

+1 markOne correct option
  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 6 on its own page

Question 7

+1 markOne correct option

Ampere - hour is an equivalent unit of power.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 7 on its own pageAlso asked in End Term 1 Sept 2024

Question 8

+1 markOne correct option

If the third harmonic frequency is 150 Hz, then the fundamental frequency is 25 Hz.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 8 on its own pageAlso asked in Quiz 1 7 Jul 2024, Quiz 1 7 Jul 2024, Quiz 1 7 Jul 2024

Question 9

+1 markOne correct option

A 100 Ω resistor is connected in series with a parallel combination of four 1 kΩ resistors. A 100 V source voltage is applied across this circuit. Then, the current flowing through the 100 Ω resistor is greater than the current through each of the 1 kΩ resistors.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 9 on its own page

Question 10

+1 markOne correct option

In a parallel plate capacitor, the value of the capacitance is independent of the distance between the plates.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 10 on its own page

Question 11

+1 markNumerical answer

Based on the above data, answer the given subquestions.

The angular frequency of v1(t) is ___________ rad/s

Show answer

Correct answer: 157.105 (accepted within ±0.045)

Question 11 on its own page

Question 12

+1 markNumerical answer

Based on the above data, answer the given subquestions.

The angular frequency of v2(t) is ___________ rad/s

Show answer

Correct answer: 314.215 (accepted within ±0.085)

Question 12 on its own page

Question 13

+1 markNumerical answer

Based on the above data, answer the given subquestions.

The value of unknown resistor R1 is ______ Ω

Show answer

Correct answer: 12

Question 13 on its own page

Question 14

+1 markNumerical answer

Based on the above data, answer the given subquestions.

The value of unknown resistor R2 is ______ Ω

Show answer

Correct answer: 4

Question 14 on its own page

Question 15

+2 marksNumerical answer

An ideal 1200 mAh battery is driving a load that draws a constant current of 60 mA. The fully charged battery would drain out in _________ hours.

Show answer

Correct answer: 20

Question 15 on its own page

Question 16

+2 marksNumerical answer
Show answer

Correct answer: 45

Question 16 on its own page

Question 17

+2 marksNumerical answer

In the following circuit, if each of the resistors is 1 Ω, then the equivalent resistance of the circuit between the terminals A and B is _________ Ω.(answer in two decimal point precision)

Show answer

Correct answer: 0.405 (accepted within ±0.045)

Question 17 on its own page

Question 18

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

The node voltage VX with respect to ground is ________V

Show answer

Correct answer: 5 (accepted within ±0.5)

Question 18 on its own page

Question 19

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

The current I in the direction shown is __________ A

Show answer

Correct answer: 0.5 (accepted within ±0.05)

Question 19 on its own page

Question 20

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

The power dissipated by the 2 Ω resistor is ___________W

Show answer

Correct answer: 24.5 (accepted within ±2.45)

Question 20 on its own page

Question 21

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

The power dissipated by the 5 Ω resistor is ________ W

Show answer

Correct answer: 45 (accepted within ±4.5)

Question 21 on its own page

Question 22

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

The power dissipated by the 10 Ω resistor is _________W

Show answer

Correct answer: 2.5 (accepted within ±0.25)

Question 22 on its own page

Question 23

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

The current I1 flowing through the 10 Ω resistor in the direction shown is __________A

Show answer

Correct answer: 0.79 (accepted within ±0.05)

Question 23 on its own page

Question 24

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

The current I2 flowing through the 12 Ω resistor in the direction shown is _________A

Show answer

Correct answer: 0

Question 24 on its own page

Question 25

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

The current I3 flowing through the 15 Ω resistor in the direction shown is __________A

Show answer

Correct answer: 0.79 (accepted within ±0.05)

Question 25 on its own page

Question 26

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

Power dissipated by the 12 Ω resistor is ________ W.

Show answer

Correct answer: 0

Question 26 on its own page

Question 27

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

The equivalent resistance of the circuit measured with an ohmmeter in place of the 20 V voltage source is _________ Ω

Show answer

Correct answer: 4.2 (accepted within ±0.42)

Question 27 on its own page