For the following circuit if the voltage source delivers 1440 W power, Find the value of resistance R

The following circuit will work as which type of Filter ?

For the given signal flow graph find which of the following option is/are correct.

200 V, 20 A energy meter at unity power factor makes 110 revolutions in 36 seconds on the full load test. Determine the percentage error, when the meter constant is 2500 rev/kWh.

Considering ABC sequence, if V_bn = $10\mathrm{\angle }{40}^{\theta }$ then V_cb is:

Take V_an as a reference phasor

$A=\left[\begin{array}{ccc}1& 2& 3\\ 1& 4& 2\\ 2& 6& 5\end{array}\right]$

For the above-given matrix, which of the following statement is/are correct.

Which among the following is the standard deviation of Binomial distribution?

An integrating factor for the differential equation ${\displaystyle \frac{dy}{dx}}+my=e^{-mx}$ is

For the following system what will be the maximum frequency for the output Y(t) of this system

The GMR of the unconventional conductor shown in the figure in terms of the radius r is given as Kr, Find the value of K ( up to two decimal places)

A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn, it is not replaced. If an orange ball is drawn, it is replaced with another orange ball.

First ball is drawn. What is the probability of getting an orange ball in the next draw? 

Two buses are connected with the reactance shown in the figure. Find the range of δ for which the system will remain stable.

A random variable x has density function $f(x)=\{\begin{array}{c}k{x}^2,-3\le x\le 3\\ 0,\text{else where}\end{array}$  then k will be equal to

A 3-phase overhead line has a reactance of 0.5 pu. The sending end voltage is 1∠δ°. In order to maintain the receiving end voltage equal to the sending end voltage, a synchronous phase modifier is installed. Determine the rating of the modifier (MVAR) when the load at the receiving end is 0.75 pu at 0.8 pf lagging. Take 100 MVA as the base.

In the magnetic circuit shown below, what is the flux density produced if the relative permeability of the core material under the given condition is 1000?

Two systems are shown below, By using 1^st system what should be the value of h(t) in the second system? 

Gauss Divergence is defined as:

For a LG fault in the system, components of current flows from transformers secondary to fault is given as I_G1 = (0.8 -j0.4), I_G2 = -j1, I_G0 = 0.

current supplied by the motor to fault is given by I_M1 = (-0.8 -ja), I_M2 = -jb, I_M0 = -j3. Then the value of a + b is _____

Consider the following statements

1. In general, all the indicating instruments are 2nd order instruments with a damping ratio(ζ) lies between 0.6 and 0.8.

2. For over damping no oscillations are present but the pointer moves very slowly to the final reading

3. For critical damping the pointer reaches final value in quickest possible time without any oscillations called 'dead beat'.

4.  The time taken by the pointer depend only on 'controlling torque'

'Which of the above statement(s) is/are correct?

Current I in the following circuit will be maximum due to the 3^rd harmonic component of supply, Find the value of capacitor C in nF.

DC to DC converter is shown in the figure. The converter is operating at a switching frequency of 1kHz, duty cycle D=0.5, Find the value of peak current through the diode.

For the system having open loop transfer function  $G(S)H(S)=\frac{10}{S^N(S+1)(S+10)}$ . Bode phase plote is shown below. What is the value of 'N'

The response of a second-order underdamped system is shown below, Find at what time the 51st overshoot will come.

Consider the z-transform X (z) = 5z² +4z^-1 + 3; 0 < |z| < ∞. The inverse z-transform x[n] is

Following power system network was working correctly and supplying lagging power to the massive power system network, Now 3 phase fault occurs at the point an as shown below, Which one of the following

phasors is correct for the after fault condition.

Find the equivalent inductance from the terminal A and B.( in H)

3-ϕ inverter circuit shown below working in 180º conduction mode, the 3-phase load is connected as shown below, Find the power consumed by R1 ( in kW), connected in R phase.

For the system, In order to have a marginally stable response what should be the value of T

$G(S)=\frac{e^{-ST}}{s(s+2)}$

For α = 60°, the supply power factor for given below circuit is:

For the following transformer, connections find the value of output voltage V_0.

Minimize the following expression using k-Map

Y = ∑m (0,1,5,9,13,14,15) + d (3,4,7,10,11)

For the following diode circuit, square wave voltage has been applied as sown below, the output is measured with the help of a PMMC volt meter. Find the reading of the voltmeter in Volts.

2000kW,400 V, 14 poles with 14 parallel paths, Total number of conductors is 1100, the ratio of the pole arc to the pole pitch is 0.7, Calculate the compensating winding conductors per pole so that uniform airgap remains at the pole phase.

Two transformers are connected as shown below working at 50Hz frequency, T₁ is having turn ratio of 1:5:x and T₂ is having a turn ratio of 5:1:1, Capacitance of value C = 176.92 μF is connected to the above transformer so that it will make supply voltage and supply current both in the same phase. Find the value of 'x'. 

The single-phase converter is shown below, Find the peak value of the fundamental component of the source current I_S when α= 60º

Initially, the capacitor was made of two plates having air as the dielectric has a value of  $C=10\mu F$, Now Dielectric material is inserted in the middle of the capacitor as shown below. Find the new value of capacitance (in $\mu F$).

The current source of 30 A/ph is applied to a 3-phase induction motor, per phase parameters of the machines is given as

r₁ = 4Ω , x₁ = x₂ = j1Ω, r₂ =0.4Ω, X_m = j50Ω 

then find at what slip maximum torque is achieved?

The [Y_bus] of 100 bus interconnected system is 95% sparse ( All the lines are connected in the π model). Now transmission line engineers replace the π lines with the T line model, Then find the new % of sparsity of the Y_bus matrix.

$f(t)=2+3sin(5t)+8cos(2t)+5sin(\frac{t}{2})$

f(t) is a periodic signal and its Fourier series coefficients are shown below. Find the value of X (Magnitude at 4 and -4)

Initially switch S₁ was closed and S₂ was open, at t=0 sec S₁ is opened and S₂ is closed. Find how much energy will be lost due to switching.

The system of equations

x + y + z = 6;

x + 4y + 6z = 20;

x + 4y + λz = μ

has NO solution for values of λ and μ given by

3 phase, 6 pulse converter shown in the figure, the load is taking ripple free constant current of 10 A. The average output voltage of the converter is 150 V at a firing angle α = 30º. Find the value of line resistance R in ohms. (Up to two decimal places)

For the following circuit power factor seen by the source, voltage is 0.85 lagging. If the magnitude of current through an unknown element is 5 A then Find the power factor of the load.

For the given circuit, Find the value of R_th in ohms from the terminal AB, above transformer has a turn ratio of 1:2 and below has 2:1 as indicated in the figure.

Find V_BB if the circuit (in the given figure) has to operate at the edge of saturation (Use V_BE = 0.7 V and β = 50).

The finite sheet 0 < x < 1, 0 < y < 1 on the z = 0 plane has a surface charge density ρ_s = xy(x² + y² + 25) nC/m² , then the total charge enclosed by the sheet in nC is:

For the following cascaded Counters find the value of X of the mode-X counter.

The sending end rated voltage of a 3ϕ, 300 km transmission line is 400 kV. It  has A = D = 0.98∠0°, B = 20∠90° Ω and C = 0.1411∠90° , then characteristic impedance of the line is:

Spherical charge density distribution is given by

${\rho }_v={\rho }_{v_0}(1-\frac{r^2}{a^2})$; r < a

ρ_v = 0; r > a

The value of total charge and maximum value of E will be

i) 0, $\frac{4}{15}\pi {\rho }_{v_0}a$

ii) 0, 0.745 a

iii) $\frac{8}{15}\pi {\rho }_{v_0}{a}^3$, 0.745 a

iv) $\frac{4}{15}\pi {\rho }_{v_0}{a}^3$, 0.745 a²

A 10 A electrodynamic ammeter is controlled by a spring having a constant of 0.1 × 10^-6 Nm/degree. The full-scale deflection is 110°. Determine the mutual inductance of the instrument when measuring a current of 10 A. The mutual inductance of 0° deflection is 2 μH and the change in mutual inductance is linear with deflection is _____( in μH, up to 2 decimals)

For the following ideal op-amp circuit which of the following is/are correct ?

If the GM of the system is 23.9dB then find the value of K.

$G(S)=\frac{e^{-KS}}{S}$

The energy of signal g(t) is 16 J. Find the energy of signal f(t) in J.

$g(t)=4f(4t+9)+2f(\frac{t}{2}+6)$

Separately excited DC generator is supplying 450 kW power to DC bus at 600 V, Now if power is reduced to 180 kW. Find the absolute value of percentage change required in motor speed.

The 3-bus system is shown in the figure, Two lines are connected between bus 1 and bus 2 is having a mutual effect of M = j0.01(additive). Find the Y₂₂ element of the Y_Bus matrix of the system.