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Recent questions tagged gate2016-in

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41
GATE2016-31
The current $I_X$ in the circuit given below in $\text{milliampere}$ is $\_\_\_\_\_\_\_.$
The current $I_X$ in the circuit given below in $\text{milliampere}$ is $\_\_\_\_\_\_\_.$
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42
GATE2016-32
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 $\text{milliampere}$ 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...
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45
GATE2016-35
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 ____________.
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 _________...
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46
GATE2016-36
For the periodic signal $x(t)$ shown below with period $T=8s$, the power in the 10th harmonic is __________. $0$ $\frac{1}{2} \left (\frac{2}{10\pi} \right)^2$ $\frac{1}{2} \left (\frac{4}{10\pi} \right)^2$ $\frac{1}{2} \left (\frac{4}{5\pi} \right)^2$
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} ...
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47
GATE2016-37
The fundamental period $N_0$ of the discrete-time sinusoid $x[n]=\sin \left (\frac {301}{4}\pi n \right)$ is ____________.
The fundamental period $N_0$ of the discrete-time sinusoid $x[n]=\sin \left (\frac {301}{4}\pi n \right)$ is ____________.
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48
GATE2016-38
The transfer function $G(s)$ of a system which has the asymptotic Bode plot shown below is $10^4 \frac {(s-1)^2}{(s+100)^2}$ $10^4 \frac {(s+1)^2}{(s+100)^2}$ $10^4 \frac {(s+1)}{(s+100)^2}$ $10^4 \frac {(s-1)^2}{(s-100)^2}$
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 {...
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49
GATE2016-39
For the feedback system given below, the transfer function $G(s)=\frac{1}{(s+1)^2}$. The system $\text{CANNOT}$ be stabilized with $C(s)=1+\frac{3}{s}$ $C(s)=3+\frac{7}{s}$ $C(s)=3+\frac{9}{s}$ $C(s)=\frac{1}{s}$
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}$$C(s)=3+\frac{7}{s}$...
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50
GATE2016-40
Match the unit-step responses (1), (2) and (3) with the transfer functions P(s), Q(s) and R(s), given below. $P(s)-(3), Q(s)-(2), R(s)-(1)$ $P(s)-(1), Q(s)-(2), R(s)-(3)$ $P(s)-(2), Q(s)-(1), R(s)-(3)$ $P(s)-(1), Q(s)-(3), R(s)-(2)$
Match the unit-step responses (1), (2) and (3) with the transfer functions P(s), Q(s) and R(s), given below.$P(s)-(3), Q(s)-(2), R(s)-(1)$$P(s)-(1), Q(s)-(2), R(s)-(3)$$...
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51
GATE2016-41
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 $\_\_\_\_\_\_\_\_$.
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 $\_\_\_\_\_\_\_\_$....
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52
GATE2016-42
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 input $v_x$ is a sinusoid. To ensure $v_y=v_x$, the value of $C_N$ in $\text{picofarad}$ is $\_\_\_\_\_\_\_$.
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53
GATE2016-43
In the circuit given below, the opamp is ideal. The value of current $I_L$ in $\text{microampere}$ is $\_\_\_\_\_\_\_\_.$
In the circuit given below, the opamp is ideal. The value of current $I_L$ in $\text{microampere}$ is $\_\_\_\_\_\_\_\_.$
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60
GATE2016-50
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 output sensitivity in $mV/^0C$ is $\_\_\_\_\_\_\_\_$.
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...
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63
GATE2016-53
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 $h=4.13567\times10^{-15}\;eV\;s$ and speed of light $c=2.998\times10^8\;m/s$).
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...
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64
GATE2016-54
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 rule, the approximate bandwidth of the modulated wave in $\text{kilohertz}$ is $\_\_\_\_\_\_\_\_$.
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�...
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65
GATE2016-55
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 encoded. With the codeword of length $3$, the signal to quantization noise ratio in $dB$ is $\_\_\_\_\_\_\_\_.$
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...
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