Electrical Engineering GATE 2015 Set-1 Questions with Answer

Ques 1 Analog Electronics

Of the four characteristics given below, which are the major requirements for an instrumentation amplifier?
P. High common mode rejection ratio
Q. High input impedance
R. High linearity
S. High output impedance

Ques 2 Analog Electronics

Consider the circuit shown in the figure. In this circuit R=1kΩ, and C=1μF. The input voltage is sinusoidal with a frequency of 50 Hz, represented as a phasor with magnitude Vi and phase angle 0 radian as shown in the figure. The output voltage is represented as a phasor with magnitude V_o and phase angle δ radian. What is the value of the output phase angle δ (in radian) relative to the phase angle of the input voltage?

Ques 3 Analog Electronics

In the given circuit, the silicon transistor has β=75 and a collector voltage V_C=9V. Then the ratio of R_B and R_C is ________.

Ques 4 Analog Electronics

The op-amp shown in the figure has a finite gain A=1000 and an infinite input resistance. A step-voltage V_i=1mV is applied at the input at time t=0 as shown. Assuming that the operational amplifier is not saturated, the time constant (in millisecond) of the output voltage V_o is

Ques 5 Circuit Theory

The voltages developed across the 3Ω and 2Ω resistors shown in the figure are 6V and 2V respectively, with the polarity as marked. What is the power (in Watt) delivered by the 5V voltage source?

Ques 6 Circuit Theory

For the given circuit, the Thevenin equivalent is to be determined. The Thevenin voltage, V_Th (in Volt), seen from terminal AB is ________.

Ques 7 Circuit Theory

An inductor is connected in parallel with a capacitor as shown in the figure. As the frequency of current i is increased, the impedance (Z) of the network varies as

Ques 8 Circuit Theory

The circuit shown in the figure has two sources connected in series. The instantaneous voltage of the AC source (in Volt) is given by v(t) = 12sint. If the circuit is in steady state, then the rms value of the current (in Ampere) flowing in the circuit is ________.

Ques 9 Circuit Theory

In a linear two-port network, when 10 V is applied to Port 1, a current of 4 A flows through Port 2 when it is short-circuited. When 5 V is applied to Port 1, a current of 1.25 A flows through a 1 Ω resistance connected across Port 2. When 3 V is applied to Port 1, the current (in Ampere) through a 2 Ω resistance connected across Port 2 is ________.

Ques 10 Circuit Theory

In the given circuit, the parameter k is positive, and the power dissipated in the 2 Ω resistor is 12.5W. The value of k is ________.

Ques 11 Control Systems

A Bode magnitude plot for the transfer function G(s) of a plant is shown in the figure. Which one of the following transfer functions best describes the plant?

Ques 12 Control Systems

For the signal-flow graph shown in the figure, which one of the following expressions is equal to the transfer function Y(s)/X₂(s) |_X1(s)=0?

Ques 13 Control Systems

In the signal flow diagram given in the figure, u₁ and u₂ are possible inputs whereas y₁ and y₂ are possible outputs. When would the SISO system derived from this diagram be controllable and observable?