Question 1
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The IIT Madras BS Electronic Systems Thinking and Circuits (ESTC) End Term paper sat on 1 Sept 2024, in the May 2024 term: 30 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.
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TRUE
The equivalent capacitance of two capacitors in series is the sum of the individual capacitor values.
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FALSE
The number of samples obtained if an input audio signal of duration 2 s is sampled at 24 kHz is about 48000.
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FALSE
Current sources in an electric circuit can absorb or deliver power.
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TRUE
Ampere-hour is an equivalent unit of power.
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FALSE
Harmonics are integer multiples of the fundamental frequency.
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The energy stored in a capacitor charged to 10 V is 0.01 J. The value of the capacitor is 2 μF.
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Correct answer: 1.5 (accepted within ±0.15)
Correct answer: 10 (accepted within ±1)
Correct answer: 4.825 (accepted within ±0.485)
Based on the above data, answer the given subquestions.
Correct answer: 5 (accepted within ±0.5)
Based on the above data, answer the given subquestions.
Correct answer: 2.5 (accepted within ±0.25)
Based on the above data, answer the given subquestions.
The frequency of a message signal f1 is ________ kHz
Correct answer: 10 (accepted within ±0.01)
Based on the above data, answer the given subquestions.
The frequency of a message signal f2 is ________ kHz
Correct answer: 100 (accepted within ±0.1)
For the circuit shown below, Answer the given subquestions.
The current I (in A) in the direction shown through the 1Ω resistance when only the 1 A current source is being energized is ______.
Correct answer: 0.67 (accepted within ±0.07)
For the circuit shown below, Answer the given subquestions.
The current I (in A) in the direction shown through the 1Ω resistance when only the 3 A current source is being energized is ______.
Correct answer: 2 (accepted within ±0.2)
For the circuit shown below, Answer the given subquestions.
The current I (in A) in the direction shown through the 1Ω resistance when only the 4 V voltage source is being energized is ______.
Correct answer: 1.33 (accepted within ±0.13)
For the circuit shown below, Answer the given subquestions.
The power (in W) delivered by the 4 V voltage source is ______.
Correct answer: 4 (accepted within ±0.4)
For the circuit shown below, Answer the given subquestions.
The total power (in W) dissipated by all the passive components is ______
Correct answer: 64 (accepted within ±6.4)
Compute the values of the instantaneous voltage (in V) across the capacitor at various time instant as given in the subquestions
v(t = 5 ms)
Correct answer: 1.255 (accepted within ±0.125)
Compute the values of the instantaneous voltage (in V) across the capacitor at various time instant as given in the subquestions
v(t = 10 ms)
Correct answer: 1.255 (accepted within ±0.125)
Compute the values of the instantaneous voltage (in V) across the capacitor at various time instant as given in the subquestions
v(t = 20 ms)
Correct answer: 0
Based on the above data, answer the given subquestions.
The initial voltage across capacitors 2 mF and 4 mF are 0 V
Correct answer: 24 (accepted within ±2.4)
Based on the above data, answer the given subquestions.
The initial voltage across capacitors 2 mF and 4 mF are 0 V
Correct answer: 4 (accepted within ±0.4)
Based on the above data, answer the given subquestions.
The initial voltage across capacitors 2 mF and 4 mF are 0 V
Correct answer: 3 (accepted within ±0.3)
Based on the above data, answer the given subquestions.
If the initial voltage across the 4 mF capacitor is 4 V .
Correct answer: 6.67 (accepted within ±0.67)
Based on the above data, answer the given subquestions.
If the initial voltage across the 4 mF capacitor is 4 V .
Correct answer: 1.32 (accepted within ±0.13)