1
GATE ECE 2022
Numerical
+2
-0.67

Consider the circuit shown with an ideal OPAMP. The output voltage V0 is __________ V (rounded off to two decimal places).

GATE ECE 2022 Digital Circuits - Analog to Digital and Digital to Analog Converters Question 3 English

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2
GATE ECE 2022
MCQ (Single Correct Answer)
+1
-0.33

In a circuit, there is a series connection of an ideal resistor and an ideal capacitor. The conduction current (in Amperes) through the resistor is 2sin(t + $$\pi$$/2). The displacement current (in Amperes) through the capacitor is __________.

A
2sin(t)
B
2sin(t + $$\pi$$)
C
2sin(t + $$\pi$$/2)
D
0
3
GATE ECE 2022
MCQ (More than One Correct Answer)
+1
-0.33

Consider the following wave equation,

$${{{\partial ^2}f(x,t)} \over {\partial {t^2}}} = 10000{{{\partial ^2}f(x,t)} \over {\partial {x^2}}}$$

Which of the given options is/are solution(s) to the given wave equation?

A
$$f(x,t) = {e^{ - {{(x - 100t)}^2}}} + {e^{ - {{(x + 100t)}^2}}}$$
B
$$f(x,t) = {e^{ - (x - 100t)}} + 0.5{e^{ - (x + 1000t)}}$$
C
$$f(x,t) = {e^{ - (x - 100t)}} + \sin (x + 100t)$$
D
$$f(x,t) = {e^{j100\pi ( - 100x + t)}} + {e^{j100\pi (100x + t)}}$$
4
GATE ECE 2022
MCQ (More than One Correct Answer)
+2
-0.67

A waveguide consists of two infinite parallel plates (perfect conductors) at a separation of 10$$-$$4 cm, with air as the dielectric. Assume the speed of light in air to be 3 $$\times$$ 108 m/s. The frequency/frequencies of TM waves which can propagate in this waveguide is/are ___________.

A
6 $$\times$$ 1015 Hz
B
0.5 $$\times$$ 1012 Hz
C
8 $$\times$$ 1014 Hz
D
1 $$\times$$ 1013 Hz
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