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May 2024 term · Electronic Systems Thinking and Circuits · EE1101

ESTC Quiz 1: 7 July 2024, Set QEF3 (May 2024 term)

The IIT Madras BS Electronic Systems Thinking and Circuits (ESTC) Quiz 1 paper sat on 7 Jul 2024, in the May 2024 term, set QEF3: 26 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
26
Marks
40
Duration
120 min
MCQ
10
Numerical
16

Updated

Official paper: 2024 July07: IIT M AN EXAM QEF4 · No negative marking.

Question 1

+1 markOne correct option

A 5 μF and a 10 μF capacitor are connected in parallel across a voltage source. The charge stored in the 10 μF capacitor will be twice that stored in the 5 μF capacitor.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 2

+1 markOne correct option

The following figure corresponds to the voltage - current characteristics of an ideal current source of value 5 A.

The following figure corresponds to the voltage - current characteristics of an ideal current source of value 5 A.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 3

+1 markOne correct option

Four 20 Ω resistors are connected in parallel across a voltage source. The equivalent resistance is 4 Ω.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 4

+1 markOne correct option

For the following circuit, the voltage VAB across the terminals A and B is -2 V.

For the following circuit, the voltage VAB across the terminals A and B is -2 V.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 5

+1 markOne correct option
  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

  • A

    TRUE

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, then the fundamental frequency is 25 Hz.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 9

+1 markOne correct option

With reference to the figure below, the relation connecting various currents flowing into or leaving away from node A is given by I1 + I2 = I3 + I4

With reference to the figure below, the relation connecting various currents flowing into or leaving away from node A is given by I1 + I2 = I3 + I4

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • A

    TRUE

Question 10

+1 markOne correct option

The resistance of a short circuit between two terminals is infinitely high.

  1. A

    TRUE

  2. B

    FALSE

Show answer

Correct answer

  • B

    FALSE

Question 11

+1 markNumerical answer

Consider a sine wave represented as v(t) = 5 sin (100t) . Based on the above data, answer the given subquestions.

The angular frequency is ___________ rad / s.

Show answer

Correct answer: 100

Question 12

+1 markNumerical answer

Consider a sine wave represented as v(t) = 5 sin (100t) . Based on the above data, answer the given subquestions.

The RMS value of v(t) is ___________ V.

Show answer

Correct answer: 3.53 (accepted within ±0.14)

Question 13

+2 marksNumerical answer

For the infinite ladder circuit shown below, the equivalent resistance Req as indicated is_________ Ω.

For the infinite ladder circuit shown below, the equivalent resistance Req as indicated is_________ Ω.

Show answer

Correct answer: 2.735 (accepted within ±0.265)

Question 14

+2 marksNumerical answer

A capacitor C1 of 1 μF is connected across a series combination of two capacitors C2 and C3 as shown in the figure below. C2 = 2C3 and the arrangement is connected across a DC source. If a voltage of 16 V is measured across C3 , the charge on C1 is ____________μC.

A capacitor C1 of 1 μF is connected across a series combination of two capacitors C2 and C3 as shown in the figure below. C2 = 2C3 and the arrangement is connected across a DC source. If a voltage of 16 V is measured across C3 , the charge on C1 is ____________μC.

Show answer

Correct answer: 24

Question 15

+2 marksNumerical answer

If a 2A / s change in current through an inductor induces a voltage of 10 V across it, the value of the inductance is ____________H.

Show answer

Correct answer: 5

Question 16

+2 marksNumerical answer

The equivalent resistance between A and B for the circuit shown below is __________ Ω.

The equivalent resistance between A and B for the circuit shown below is __________ Ω.

Show answer

Correct answer: 4.5

Question 17

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

For the circuit shown below, answer the given subquestions.

The mesh current I1 in the direction shown is ___________ A.

Show answer

Correct answer: 0.36 (accepted within ±0.04)

Question 18

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

For the circuit shown below, answer the given subquestions.

The mesh current I2 in the direction shown is _________ A.

Show answer

Correct answer: 1.28 (accepted within ±0.13)

Question 19

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

For the circuit shown below, answer the given subquestions.

The mesh current I3 in the direction shown is _________ A.

Show answer

Correct answer: 1.215 (accepted within ±0.125)

Question 20

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

For the circuit shown below, answer the given subquestions.

The current through 5 Ω resistor IA in the direction shown is _______A.

Show answer

Correct answer: -0.915 (accepted within ±0.095)

Question 21

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

For the circuit shown below, answer the given subquestions.

The power dissipated in the 5 Ω resistor is _______ W.

Show answer

Correct answer: 4.225 (accepted within ±0.425)

Question 22

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

For the circuit shown below, answer the given subquestions.

The current I1 flowing through the 5 Ω resistor in the direction shown is_________ A.

Show answer

Correct answer: 0.6

Question 23

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

For the circuit shown below, answer the given subquestions.

The current I2 flowing through the 10 Ω resistor in the direction shown is _________ A.

Show answer

Correct answer: 0.6

Question 24

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

For the circuit shown below, answer the given subquestions.

The current I3 flowing through the 6 Ω resistor in the direction shown is _________ A.

Show answer

Correct answer: 0

Question 25

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

For the circuit shown below, answer the given subquestions.

Power dissipated in the 6 Ω resistor is_________ W.

Show answer

Correct answer: 0

Question 26

+2 marksNumerical answer

For the circuit shown below, answer the given subquestions.

For the circuit shown below, answer the given subquestions.

The voltage VA across 2 Ω with polarity as shown is _________V.

Show answer

Correct answer: 6