Test: ESE Electrical - 4 - Electrical Engineering (EE) MCQ

The circuit shown in fig is in steady state with switch open. At t = 0 the switch is closed. Theoutput voltage v_t (c) for t > 0 is

The switch of the circuit shown in fig. is opened at t = 0 after long time. The v(t) , for t > 0 is

In the circuit of fig.the switch is opened at t = 0 after long time. The current i_L(t) for t > 0 is

The circuit is as shown in fig

i₂(t) = ?

The y-parameters of a 2-port network are 

A resistor of 1 ohm is connected across as shown in fig. The new y –parameter would be

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A three-phase balanced delta connected load of (4 + j8) Ω is connected across a 400V, 3 – Ø balanced supply. Determine the phase current I_R. Assume the phase sequence to be RYB.

The three impedances Z₁ = 20∠30⁰Ω, Z₂ = 40∠60⁰Ω, Z₃ = 10∠-90⁰Ω are delta-connected to a 400V, 3 – Ø system. Find the line current I₃.

Find the force of interaction between 60 stat coulomb and 37.5 stat coulomb spaced 7.5cm apart in transformer oil(εr=2.2) in 10^-4 N,

Find the force between two charges when they are brought in contact and separated by 4cm apart, charges are 2nC and -1nC, in μN.

What is the width of the main lobe of the frequency response of a rectangular window of length M-1?

Which of the following windows has a time domain sequence   

f a signal f(t) has energy ‘E’ the energy of the signal f(2t) is equal to:

A function f(t) is an even function, if for all values of (t)
(T is the time-period of the function)

The transfer function of a system is given as

The h[n] is

The transfer function of a system is given as

Consider the two statements

Statement(i) : System is causal and stable.
Statement(ii) : Inverse system is causal and stable.

The correct option is:

Determine the bilateral laplace transform and choose correct option

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Determine the bilateral laplace transform and choose correct option.

x(t) = u(-t + 3)

Determine the Fourier series coefficient for given periodic signal x(t) is

Consider the three continuous time signals with fundamental period of T = 1/2
x(t) = cos4πt
y(t) = sin 4πt
z(t) = x(t)·y(t)

The Fourier co-efficient of z(t) are given by

In the question, the FS coefficient of time-domain signal have been given. Determine the corresponding time domain signal and choose correct option.

Consider the signal x(t) = cos(6πt) + sin(8πt), where t is in seconds. The Nyquist sampling rate (in samples/second) for the signal y(t) = x(2t + 5) is

The Laplace transform of unity function is

The poles of the transfer function C(s)/R(s) of the system represented by the block diagram shown below are located at 
 

Damping ratio is defined as the ratio of

The characteristic equation of a servo system is given by 
a₀s4 + a₁s³ + a₂s² + a₃s + a₄ = 0
Now, consider the following conditions required to be satisfied by the coefficient of the above characteristic equation for the system to be stable:
1. a₁ > 0 and a₄ > 0
2. a₁ < 0 and a₄ > 0
3. a₁a₂< a₀a₃
4. a₁a₂ > a₀a₃ 
5. 
6. ​
Which of the above conditions holds true for the given system to be stable?

The open-loop transfer function of a closed loop control system is given as:

Which of the following statements is correct about the root locus of the above system?

For a control system having gain margin of -10 dB, the magnitude of GH(s) for 180° phase shift is