1
GATE ECE 2024
+1
-0.33

In the circuit shown, the n : 1 step-down transformer and the diodes are ideal. The diodes have no voltage drop in forward biased condition. If the input voltage (in Volts) is $V_s(t) = 10 \sin\omega t$ and the average value of load voltage $V_L(t)$ (in Volts) is $\frac{2.5}{\pi}$, the value of n is _____.

A

4

B

8

C

12

D

16

2
GATE ECE 2024
Numerical
+1
-0.33

As shown in the circuit, the initial voltage across the capacitor is 10 V, with the switch being open. The switch is then closed at $t = 0$. The total energy dissipated in the ideal Zener diode $(V_Z = 5 ext{ V})$ after the switch is closed (in mJ, rounded off to three decimal places) is _________.

3
GATE ECE 2024
+2
-1.33

The opamps in the circuit shown are ideal, but have saturation voltages of ±10 V.

Assume that the initial inductor current is 0 A. The input voltage (Vi) is a triangular signal with peak voltages of ±2 V and time period of 8 μs. Which one of the following statements is true?

A

V01 is delayed by 2 μs relative to Vi, and V02 is a triangular waveform.

B

V01 is not delayed relative to Vi, and V02 is a trapezoidal waveform.

C

V01 is not delayed relative to Vi, and V02 is a triangular waveform.

D

V01 is delayed by 1 μs relative to Vi, and V02 is a trapezoidal waveform.

4
GATE ECE 2024
+2
-1.33

In the circuit below, the opamp is ideal.

If the circuit is to show sustained oscillations, the respective values of $R_1$ and the corresponding frequency of oscillation are ____.

A

$29R$ and $1/(2\pi \sqrt{6}RC)$

B

$2R$ and $1/(2\pi RC)$

C

$29R$ and $1/(2\pi RC)$

D

$2R$ and $1/(2\pi \sqrt{6}RC)$

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