Recent questions tagged gate2016-in

The current $I_X$ in the circuit given below in $\text{milliampere}$ is $\_\_\_\_\_\_\_.$

In the circuit shown below, $V_s=101\angle 0V, R=10\Omega$ and $\omega L=100\Omega$. The current $I_s$ is in phase with $V_s$. The magnitude of $I_s$ in $\text{milliamper...

A symmetrical three-phase three-wire $RYB$ system is connected to a balanced delta-connected load. The $RMS$ values of the line current and line-to-line voltage are $\tex...

In the strain gauge bridge circuit given below, $R_1=R_3=\text{R(1-x)}$ and $R_2=R_4=\text{R(1+x)}$, where $R$ is $350\Omega$. The voltage sources $v_s$ and $v_n$ represe...

The voltage $v(t)$ shown below is applied to the given circuit. $v(t)=3V$ for $t<0$ and $v(t)=6V$ for $t>0$. The value of current $i(t)$ at $t=1s$, in ampere is _________...

For the periodic signal $x(t)$ shown below with period $T=8s$, the power in the 10th harmonic is __________.$0$$\frac{1}{2} \left (\frac{2}{10\pi} \right)^2$$\frac{1}{2} ...

The fundamental period $N_0$ of the discrete-time sinusoid $x[n]=\sin \left (\frac {301}{4}\pi n \right)$ is ____________.

The transfer function $G(s)$ of a system which has the asymptotic Bode plot shown below is $10^4 \frac {(s-1)^2}{(s+100)^2}$$10^4 \frac {(s+1)^2}{(s+100)^2}$$10^4 \frac {...

For the feedback system given below, the transfer function $G(s)=\frac{1}{(s+1)^2}$. The system $\text{CANNOT}$ be stabilized with$C(s)=1+\frac{3}{s}$$C(s)=3+\frac{7}{s}$...

Match the unit-step responses (1), (2) and (3) with the transfer functions P(s), Q(s) and R(s), given below.$P(s)-(3), Q(s)-(2), R(s)-(1)$$P(s)-(1), Q(s)-(2), R(s)-(3)$$...

An ideal opamp is used to realize a difference amplifier circuit given below having a gain of $10$. If $x=0.025$, the $CMRR$ of the circuit in $dB$ is $\_\_\_\_\_\_\_\_$.

In the circuit given below, the opamp is ideal. The input $v_x$ is a sinusoid. To ensure $v_y=v_x$, the value of $C_N$ in $\text{picofarad}$ is $\_\_\_\_\_\_\_$.

In the circuit given below, the opamp is ideal. The value of current $I_L$ in $\text{microampere}$ is $\_\_\_\_\_\_\_\_.$

A $4$ to $1$ multiplexer to realize a Boolean function $F(X, Y, Z)$ is shown in the figure below. The inputs $Y$ and $Z$ are connected to the selectors of the $MUX$ ($Y$ ...

A synchronous counter using two J-K flip flops that goes through the sequence of states: $Q_1Q_2=00\rightarrow10\rightarrow01\rightarrow11\rightarrow00 \dots$ is required...

A $1$ Kbyte memory module has to be interfaced with an $8$-bit microprocessor that has $16$ address lines.The address lines $A_0$ to $A_9$ of the processor are connected ...

A coil is tested with a series type Q-meter. Resonance at a particular frequency is obtained with a capacitance of $\text{110 pF}$. When the frequency is doubled, the cap...

The comparators (output=$’1’$, when input $\underline{>}$ and output=$’0’$, when input$<0$), exclusive-OR gate and the unity gain low-pass filter given in the circuit are...

A $\text{200 mV}$ full scale dual-slope $3\frac{1}{2}$ digit $DMM$ has a reference voltage of $\text{100 mV}$ and a first integration time of $\text{100 ms}$. For an inpu...

In the circuit below, the opamp is ideal and the sensor is an $RTD$ whose resistance $R_\theta=1000(1+0.004\;\theta)\Omega$, where $\theta$ is temperature in $^0C$. The o...

The photo diode in the figure below has an active sensing area of $10 \;mm^2,$ a sensitivity of $0.5\;A/W$ and a dark current of $1\; \mu A$. The $i-to-v$ converter has a...

The velocity of flow of water (density $1000\;kg/m^3$) in a horizontal pipe is measured using the $PITOT$ tube shown below. The fluid in the U-tube manometer is mercury w...

The bandgap in $eV$ of a semiconductor material required to construct an $LED$ that emits peak power at the wavelength of $620\;nm$ is $\_\_\_\_\_\_\_.$(Plank constant $h...

The signal $m(t)=\frac{\sin(100\;\pi t)}{100\; \pi t}$ is frequency modulated $(FM)$ with an $FM$ Modulator of frequency deviation constant of $30\;kHz/V$. Using Carson’s...

A signal $m(t)$ varies from $-3.5\;V$ to $+3.5\;V$ with an average power of $3\;W$. The signal is quantized using a midtread type quantizer and subsequently binary encode...