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January 2025 term · Electronic Systems Thinking and Circuits · EE1101

Electronic Systems Thinking and Circuits Qualifier: 13 April 2025 (January 2025 term)

The IIT Madras BS Electronic Systems Thinking and Circuits (ESTC) Qualifier paper sat on 13 Apr 2025, in the January 2025 term: 25 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
25
Marks
40
Duration
120 min
MCQ
10
Numerical
15

Updated

Official paper: IIT M ES REATTEMPT AN EXAM QEQ1 13 Apr 2025 · No negative marking.

Question 1

+1 markOne correct option

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

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 2

+1 markOne correct option
  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

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 8 kΩ.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 4

+1 markOne correct option

The time period of a wave is generally measured as the time interval between two consecutive similar (positive and positive or negative and negative) peaks.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 5

+1 markOne correct option

A high-frequency signal completes more cycles in one second than a low-frequency signal.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 6

+1 markOne correct option
  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 7

+1 markOne correct option

Ampere - hour is an equivalent unit of charge.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 8

+1 markOne correct option

If the third harmonic frequency is 150 Hz, the fundamental frequency is 50 Hz.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

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 magnitude of the current flowing through the 100 Ω resistor is smaller than that of the current flowing through each 1 kΩ resistor.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 10

+1 markOne correct option
  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 11

+2 marksNumerical answer
Show answer

Correct answer: 1

Question 12

+2 marksNumerical answer
Show answer

Correct answer: 30

Question 13

+2 marksNumerical answer
Show answer

Correct answer: 16.2 (accepted within ±0.2)

Question 14

+2 marksNumerical answer

The energy consumed by a 100 W electric bulb in two hours is ___________ kJ.

Show answer

Correct answer: 720

Question 15

+2 marksNumerical answer

The energy stored on a 3 μF capacitor connected across a 20 V source is ______________ μJ

Show answer

Correct answer: 600

Question 16

+2 marksNumerical answer

For the circuit shown below and answer the given subquestions.

The mesh current I1 in the direction shown is _________ A

Show answer

Correct answer: 7.13 (accepted within ±0.72)

Question 17

+2 marksNumerical answer

For the circuit shown below and answer the given subquestions.

The mesh current I2 in the direction shown is _________ A

Show answer

Correct answer: 2.35 (accepted within ±0.24)

Question 18

+2 marksNumerical answer

For the circuit shown below and answer the given subquestions.

The mesh current I3 in the direction shown is _________ A

Show answer

Correct answer: -0.06 (accepted within ±0.006)

Question 19

+2 marksNumerical answer

For the circuit shown below and answer the given subquestions.

The power dissipated in the 2 Ω resistor is __________ W

Show answer

Correct answer: 11.035 (accepted within ±1.105)

Question 20

+2 marksNumerical answer

For the circuit shown below and answer the given subquestions.

The power dissipated in the 4 Ω resistor is__________ W

Show answer

Correct answer: 23.225 (accepted within ±2.325)

Question 21

+2 marksNumerical answer

Refer the below circuits and answer the given subquestions.

With reference to the Circuit A shown,the equivalent capacitance of the circuit across nodes A and B is ________ μF

Show answer

Correct answer: 20 (accepted within ±2)

Question 22

+2 marksNumerical answer

Refer the below circuits and answer the given subquestions.

With reference to the Circuit B shown,the voltage across the 40 μF capacitor, v1 with the polarity as shown is ________ V

Show answer

Correct answer: 30 (accepted within ±3)

Question 23

+2 marksNumerical answer

Refer the below circuits and answer the given subquestions.

With reference to the Circuit B shown,the voltage across the 60 μF capacitor, v2 with the polarity as shown is __________ V.

Show answer

Correct answer: 10 (accepted within ±1)

Question 24

+2 marksNumerical answer

Refer the below circuits and answer the given subquestions.

With reference to the Circuit B shown,the voltage across the 20 μF capacitor, v3 with the polarity as shown is____________ V.

Show answer

Correct answer: 30 (accepted within ±3)

Question 25

+2 marksNumerical answer

Refer the below circuits and answer the given subquestions.

With reference to the Circuit B shown,the charge stored on 30 μF capacitor is _________ μC.

Show answer

Correct answer: 600