Recent questions tagged gate2012-ee

The circuit shown is alow pass filter with $f_{3dB} = \dfrac{1}{(R_1+R_2)C} \text{ rad/s} \\$high pass filter with $f_{3dB} = \dfrac{1}{R_1C}\text{ rad/s} \\$low pass f...

In the circuit shown, an ideal switch $S$ is operated at $100$ kHz with a duty ratio of $50 \%$. Given that $\Delta i_c$ is $1.6$ A peak-to-peak and $I_0$ is $5$ A dc, th...

A cylindrical rotor generator delivers $0.5$ pu power in the steady-state to an infinite bus through a transmission line of reactance $0.5$ pu. The generator no-load volt...

For the system shown below, $S_{D1}$ and $S_{D2}$ are complex power demands at bus $1$ and bus $2$ respectively. If $\mid V_2 \mid =1$ pu, the VAR rating of the capacitor...

Let $y[n]$ denote the convolution of $h[n]$ and $g[n]$, where $h[n]=(1/2)^n u[n]$ and $g[n]$ is a casual sequence. If $y[0]=1$ and $y =1/2$, then $g $ equals$0$$1/2$$1$$3...

The state transition diagram for the logic circuit shown is

The voltage gain $A_V$ of the circuit shown below is$\mid A_V \mid \approx 200$$\mid A_V \mid \approx 100$$\mid A_V \mid \approx 20$$\mid A_V \mid \approx 10$

For the circuit shown in the figure, the voltage and current expressions are $v(t) = E_1 \sin (\omega t) + E_3 \sin (3 \omega t)$ and $i(t)=I_1 \sin (\omega t – \phi _1) ...

If $V_A – V_B =6$ V, then $V_C – V_D $ is$-5$ V$2$ V$3$ V$6$ V

The typical ratio of latching current to holding current in a $20$ A thyristor is$5.0$$2.0$$1.0$$0.5$

A half-controlled single-phase bridge rectifier is supplying an R-L load. It is operated at a firing angle $\alpha$ and the load current is continuous. The fraction of cy...

The sequence components of the fault current are as follows: $I_{\text{positive}} = j1.5$ pu, $I_{\text{negative}} =- j0.5$ pu, $I_{\text{zero}} = – j1$ pu. The type of f...

The figure shows a two-generator system supplying a load of $P_D = 40$ MW, connected at bus $2$. The fuel cost of generations $G_1$ and $G_2$ are:$C_1(P_{G1})=10,000$ Rs/...

The $i-v$ characteristics of the diode in the circuit given below are $$i= \begin{cases} \dfrac{v-0.7}{500}A, & v \geq 0.7 \: V \\ 0 A, & v <0.7 \: V \end{cases}$$ The cu...

Consider the given circuit. In this circuit, the race arounddoes not occuroccurs when $\text{CLK}=0$occurs when $\text{CLK}=1$ and $A=B=1$occurs when $\text{CLK}=1$ and $...

The output $Y$ of a $2$-bit comparator is logic $1$ whenever the $2$-bit input A is greater than the $2$-bit input B. The number of combinations of which the output is lo...

In the following figure, $C_1$ and $C_2$ are ideal capacitors. $C_1$ has been charged to $12$ V before the ideal switch $S$ is closed at $t=0$. The current $i(t)$ for all...

The average power delivered to an impedance $(4-j3) \Omega$ by a current $5 \cos (100 \pi \:t +100)$A is$44.2$ W$50$ W$62.5$ W$125$ W

The unilateral Laplace transform of $f(t)$ is $\dfrac{1}{s^2+s+1}$. The unilateral Laplace transform of $t f(t)$ is$ – \dfrac{s}{(s^2+s+1)^2} \\ $$ – \dfrac{2s+1}{(s^2+s+...

If $x[n]=(1/3)^{\mid n \mid} – (1/2)^n \: u[n]$, then the region of convergence (ROC) of its $Z$-transform in the $Z$-plane will be$\dfrac{1}{3} < \mid z \mid < 3 \\$$\df...

The bridge method commonly used for finding mutual inductance isHeaviside Campbell bridgeSchering bridgeDe Sauty bridgeWien bridge

A periodic voltage waveform observed on an oscilloscope across a load is shown. A permane magnet moving coil (PMMC) meter connected across the same load reads$4$V$5$ V$8$...

A two-phase load draws the following phase currens: $i_1(t)=I_m \sin(\omega t – \phi_1), i_2(t) = I_m \cos(\omega t – \phi_2)$. These currents are balanced if $\phi_1$ is...

The slip of an induction motor normally does not depend onrotor speedsynchronous speedshaft torquecore-loss component

The bus admittance matrix of a three-bus three-line system is $Y=j \begin{bmatrix} -13 & 10 & 5 \\ 10 & -18 & 10 \\ 5 & 10 & -13 \end{bmatrix}$ If each transmission line ...

With initial condition $x(1)=0.5$, the solution of the differential equation $t\dfrac{dx}{dt}+x=t$ is$x=t-\dfrac{1}{2} \\ $$x=t^2-\dfrac{1}{2} \\ $$x=\dfrac{t^2}{2} \\$$x...

In the sum of products function $f(X,Y,Z) = \Sigma(2,3,4,5)$, the prime implicants are$\overline{X}Y, X \overline{Y}$$\overline{X}Y, X \overline{Y}\overline{Z}, X \overli...

A system with transfer function $$G(s) =\frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$$ is excited by $\sin (\omega t)$. The steady-state output of the system is zero at$\omega = ...