1
GATE ECE 2025
MCQ (More than One Correct Answer)
+2
-0

All the diodes in the circuit given below are ideal.

Which of the following plots is/are correct when $V_I$ (in Volts) is swept from $-M$ to $M$ ?

GATE ECE 2025 Analog Circuits - Diodes Question 1 English
A
GATE ECE 2025 Analog Circuits - Diodes Question 1 English Option 1
B
GATE ECE 2025 Analog Circuits - Diodes Question 1 English Option 2
C
GATE ECE 2025 Analog Circuits - Diodes Question 1 English Option 3
D
GATE ECE 2025 Analog Circuits - Diodes Question 1 English Option 4
2
GATE ECE 2025
Numerical
+2
-0

The diode in the circuit shown below is ideal. The input voltage (in Volts) is given by $V_1=10 \sin 100 \pi t$, where time $t$ is in seconds.

The time duration (in ms, rounded off to two decimal places) for which the diode is forward biased during one period of the input is ________.

GATE ECE 2025 Analog Circuits - Diodes Question 2 English
Your input ____
3
GATE ECE 2025
MCQ (Single Correct Answer)
+1
-0.33

Consider a frequency-modulated (FM) signal

$$ f(t)=A_c \cos \left(2 \pi f_c t+3 \sin \left(2 \pi f_1 t\right)+4 \sin \left(6 \pi f_1 t\right)\right) $$

where $A_c$ and $f_c$ are, respectively, the amplitude and frequency (in Hz ) of the carrier waveform. The frequency $f_1$ is in Hz , and assume that $f_c>100 f_1$.

The peak frequency deviation of the FM signal in Hz is $\qquad$

A
$15 f_1$
B
$12 f_1$
C
$4 f_1$
D
$2 f_1$
4
GATE ECE 2025
MCQ (Single Correct Answer)
+1
-0.33

Consider an additive white Gaussian noise (AWGN) channel with bandwidth $W$ and noise power spectral density $\frac{N_o}{2}$. Let $P_{a v}$ denote the average transmit power constraint. Which one of the following plots illustrates the dependence of the channel capacity $C$ on the bandwidth $W$ (keeping $P_{a v}$ and $N_0$ fixed)?

A
GATE ECE 2025 Communications - Fundamentals of Information Theory Question 1 English Option 1
B
GATE ECE 2025 Communications - Fundamentals of Information Theory Question 1 English Option 2
C
GATE ECE 2025 Communications - Fundamentals of Information Theory Question 1 English Option 3
D
GATE ECE 2025 Communications - Fundamentals of Information Theory Question 1 English Option 4
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