Electrical Engineering Gate 2015 Set-2 Questions with Answer

Ques 1 GATE 2015 SET-2

The filters F1 and F2 having characteristics as shown in Figures (a) and (b) are connected as shown in Figure (c). The cut-off frequencies of F1 and F2 are f₁ and f₂ respectively. If f₁ < f₂, the resultant circuit exhibits the characteristic of a

Band-pass filter

Band-stop filter

All pass filter

High-Q filter

(b) is the correct answer.

Ques 2 GATE 2015 SET-2

When a bipolar junction transistor is operating in the saturation mode, which one of the following statements is TRUE about the state of its collector-base (CB) and the base-emitter (BE) junctions?

The CB junction is forward biased and the BE junction is reverse biased.

The CB junction is reverse biased and the BE junction is forward biased.

Both the CB and BE junctions are forward biased.

Both the CB and BE junctions are reverse biased.

Ques 3 GATE 2015 SET-2

The saturation voltage of the ideal op-amp shown below is ±10V. The output voltage v_o of the following circuit in the steady-state is

square wave of period 0.55 ms.

triangular wave of period 0.55 ms.

square wave of period 0.25 ms.

triangular wave of period 0.25 ms.

(a) is the correct answer.

Ques 4 GATE 2015 SET-2

In the following circuit, the input voltage V_in is 100sin(100πt). For 100πRC = 50, the average voltage across R (in Volts) under steady-state is nearest to

100

31.8

200

63.6

(b) is the correct answer.

Ques 5 GATE 2015 SET-2

The operational amplifier shown in the figure is ideal. The input voltage (in Volt) is V_i = 2sin(2πx2000t). The amplitude of the output voltage V_o (in Volt) is ________.

(1.25) is the correct answer.

Ques 6 GATE 2015 SET-2

In the following circuit, the transistor is in active mode and V_C = 2V. To get V_C = 4V, we replace R_C with R'_C. Then the ratio R'_C/R_C is ________.

(0.75) is the correct answer.

Ques 7 GATE 2015 SET-2

A series RL circuit is excited at t=0 by closing a switch as shown in the figure. Assuming zero initial conditions, the value of d²i/dt² at t=0⁺ is

V/L

-V/R

-RV/L²

(d) is the correct answer.

Ques 8 GATE 2015 SET-2

The current i (in Ampere) in the 2Ω resistor of the given network is ________.

(0) is the correct answer.

Ques 9 GATE 2015 SET-2

Find the transformer ratios a and b such that the impedance (Z_in) is resistive and equals 2.5Ω when the network is excited with a sine wave voltage of angular frequency of 5000 rad/s.

a=0.5, b=2.0

a=2.0, b=0.5

a=1.0, b=1.0

a=4.0, b=0.5

(a) is the correct answer.

Ques 10 GATE 2015 SET-2

In the given network V₁=100∠0°V, V₂=100∠-120°V, V₃=100∠+120°V. The phasor current i (in Ampere) is

173.2∠-60°

173.2∠120°

100.0∠-60°

100.0∠120°

(a) is the correct answer.

Ques 11 GATE 2015 SET-2

A symmetrical square wave of 50% duty cycle has amplitude of ±15V and time period of 0.4π ms. This square wave is applied across a series RLC circuit with R=5Ω, L=10mH, and C=4μF. The amplitude of the 5000 rad/s component of the capacitor voltage (in Volt) is ________.