Question 1
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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.
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TRUE
Zeros of a transfer function are frequencies for which the value of the numerator of the transfer function is zero.
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TRUE
If the collector resistances in a BJT differential amplifier are not perfectly matched the common mode rejection that can be achieved increases.
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FALSE
In the linear region, the drain current in a MOSFET is independent of VDS.
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FALSE
A unity power factor implies that all the supplied power is converted into real power and the reactive power is zero.
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TRUE
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.
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An element and its V - I characteristics are shown in Figure(a) and Figure(b) respectively. The element is non-linear and active.
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TRUE
The Laplace transform of e^(-7t)u(t) is 1 / (s + 7).
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TRUE
Based on the above data, answer the given subquestions.
Correct answer: 10
Based on the above data, answer the given subquestions.
Correct answer: 100
Based on the above data, answer the given subquestions.
The transconductance gm (in S) is _______
Correct answer: 0.04
Based on the above data, answer the given subquestions.
The magnitude of the small signal voltage gain is _______
Correct answer: 360
Consider the function F(s) = (8s + 4) / (s² +3s +6).
Based on the above data, answer the given subquestions.
The value of f(0⁻) =
Correct answer: 8
Consider the function F(s) = (8s + 4) / (s² +3s +6).
Based on the above data, answer the given subquestions.
Correct answer: 0
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 ________
Correct answer: 302
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 ________
Correct answer: 10.75
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
Correct answer: 80 (accepted within ±8)
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.
Correct answer: 150 (accepted within ±15)
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)
Correct answer: 1060 (accepted within ±106)
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.
Correct answer: 13.265 (accepted within ±1.365)
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.
Correct answer: 250 (accepted within ±25)
Based on the above data, answer the given subquestions.
Determine the apparent value of threshold voltage Vt (in V)
Correct answer: 1.48 (accepted within ±0.15)
Based on the above data, answer the given subquestions.
Correct answer: 5.11 (accepted within ±0.7)
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?
Correct answer: 103.835 (accepted within ±12.775)
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?
Correct answer: 1.715 (accepted within ±0.175)
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).
Correct answer: 0.905 (accepted within ±0.125)
With reference to the two-port network shown below, Answer the subquestions.
Correct answer: 2 (accepted within ±0.2)
With reference to the two-port network shown below, Answer the subquestions.
Correct answer: 1 (accepted within ±0.1)
With reference to the two-port network shown below, Answer the subquestions.
Correct answer: 1 (accepted within ±0.1)
With reference to the two-port network shown below, Answer the subquestions.
Correct answer: 1 (accepted within ±0.1)