Gate Questions paper 2022 with answer

1:- In the circuit shown below, the initial charge on the capacitor is 2.5 mC, with the voltage polarity as indicated . The switch is closed at time t = 0 the current it at a time t after the switch is closed is 

(A) i(t)=15 exp(-2×10³t)A.

(B) i(t)= 5 exp(-2×10³)A.

(C) i(t) =10 exp(-2×10³)A.

(D) i(t) = -5 exp(-2×10³)A.

ANSWER:- 

 i(t)=15 exp(-2×10³t)A

2:- The Z- parameter matrix [z¹¹z¹² z²¹z²²] for the two port network shown is

(A):- 0

(B):- 99

(C):- 63

(D):- 12

ANSWER:-

              0

3:- If Ē = -(2y³-3yz²)x^ -(6xy²-3xz²)6y^+(6xyz)z^ is the electric field in a source free region a valid expression for the electrostatic potential is

(A):- xy³-yz²

(B):- 2xy³-xyz²

(C):- y³+xyz²

(D):- 2xy³-3xyz²

ANSWER:- 

       2xy³-3xyz²

4:- Two Silicon diodes,with a forward voltage drop of 0.7 v are used in the circuit shown in the figure. The range of input voltage Vi for which the output Voltage Vo= Vi,is

(A):- -0.3 V <Vi<1.3V

(B):- -0.3 V < Vi <2 V

(C):- -1.0 V <  Vi <2.0V

(D):- -1.7 V < Vi < 2.7 V

ANSWER:- 

     -1.7 V < Vi < 2.7 V

5:- In the circuit shown below, capacitor C1 and C2 are very large and are shorts at the input frequency Vi is a small signal input .The magnitude |Vo/Vi|at 10 M rad/s is

(A):- maximum 

(B):- minimum 

(C):- unity

(D):- zero

ANSWER:-

     zero