Roots of the algebraic equation x^{3}+ x^{2}+ x + 1 = 0 are
With K as a constant, the possible solution for the first order differential equation $\frac{\mathit{d}y}{\mathit{d}x}={e}^{-3x}$ is
The r.m.s value of the current i (t) in the circuit shown below is
The fourier series expansion $\style{font-size:18px}{f\left(t\right)=a_0+\sum\limits_{n=1}^\infty a_n\cos n\omega t+b_n\sin n\omega t}$ of the periodic signal shown below will contain the following nonzero terms
A 4 point starter is used to start and control the speed of a
A three phase, salient pole synchronous motor is connected to an infinite bus. It is operated at no load a normal excitation. The field excitation of the motor is first reduced to zero and then increased in reverse direction gradually. Then the armature current
A nuclear power station of 500 MW capacity is located at 300 km away from a load center. Select the most suitable power evacuation transmission configuration among the following options
The frequency response of a linear system G(jω) is provided in the tubular form below
The gain margin and phase margin of the system are
The steady state error of a unity feedback linear system for a unit step input is 0.1. The steady state error of the same system, for a pulse input r (t) having a magnitude of 10 and a duration of one second, as shown in the figure is
Consider the following statement (i) The compensating coil of a low power factor wattmeter compensates the effect of the impedance of the current coil. (ii) The compensating coil of a low power factor wattmeter compensates the effect of the impedance of the voltage coil circuit.
A low – pass filter with a cut-off frequency of 30Hz is cascaded with a high-pass filter with a cut-off frequency of 20Hz. The resultant system of filters will function as
for the circuit shown below
The CORRECT transfer characteristic is
A three-phase current source inverter used for the speed control of an induction motor is to be realized using MOSFET switches as shown below. Switches S_{1} to S_{6} are identical switches.
The proper configuration for realizing switches S_{1} to S_{6} is
A point Z has been plotted in the complex plane, as shown in figure below.
The plot of the complex number $y=\frac{1}{Z}$ is
The voltage applied to a circuit is 100 $\sqrt{2}$ cos (100$\pi $t) volts and the circuit draws a current of 10 $\sqrt{2}$ sin (100$\pi $t + $\pi $ / 4) amperes. Taking the voltage as the reference phasor, the phasor representation of the current in amperes is
In the circuit given below, the value of R required for the transfer of maximum power to the load having a resistance of 3Ω is
Given two continuous time signals $x\left(i\right)={e}^{-t}$ and $y\left(i\right)={e}^{-2t}$ which exist for $t>0,$ the convolution $z\left(t\right)=x\left(t\right)*y\left(t\right)$ is
A single phase air core transformer, fed from a rated sinusoidal supply, is operating at no load. The steady state magnetizing current drawn by the transformer from the supply will have the waveform
A negative sequence relay is commonly used to protect
For enhancing the power transmission in along EHV transmission line, the most preferred method is to connect a