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Recent questions tagged numerical-answers

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201
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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202
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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203
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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207
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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210
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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211
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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212
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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213
GATE2015-15
The figure shows a half-wave rectifier circuit with input voltage $V(t)=10\sin(100\;\pi t)$ volts. Assuming ideal diode characteristics with zero forward voltage drop and zero reverse current, the average power consumed in watts by the load resistance $R_L$ is $\_\_\_\_\_\_\_\_\_ W$.
The figure shows a half-wave rectifier circuit with input voltage $V(t)=10\sin(100\;\pi t)$ volts. Assuming ideal diode characteristics with zero forward voltage drop and...
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214
GATE2015-16
The capacitor shown in the figure is initially charged to $\text{+10 V}$. The switch closes at time $t=0$. Then the value of $V_C(t)$ in volts at time $\text{t=0 ms}$ is _____________ $V$.
The capacitor shown in the figure is initially charged to $\text{+10 V}$. The switch closes at time $t=0$. Then the value of $V_C(t)$ in volts at time $\text{t=0 ms}$ is ...
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215
GATE2015-18
A p-type semiconductor strain gauge has a nominal resistance of $1000\;\Omega$ and a gauge factor of $+200$ at $25\;^\circ C$. The resistance of the strain gauge in ohms when subjected to a strain of $+10^{-4}$ m/m at the same temperature is __________ $\Omega$.
A p-type semiconductor strain gauge has a nominal resistance of $1000\;\Omega$ and a gauge factor of $+200$ at $25\;^\circ C$. The resistance of the strain gauge in ohms ...
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216
GATE2015-32
A system with transfer function $G(S)=\frac{1}{s^2+1} $ has zero initial conditions. The percentage overshoot in its step response is ______________ $\%$.
A system with transfer function $G(S)=\frac{1}{s^2+1} $ has zero initial conditions. The percentage overshoot in its step response is ______________ $\%$.
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218
GATE2015-37
The probability density function of a random variable $X$ is $P_X(x)=e^{-x}$ for $x\underline{>} 0$ and $0$ otherwise. The expected value of the function $g_X(x)=e^{3x/4}$ is __________ .
The probability density function of a random variable $X$ is $P_X(x)=e^{-x}$ for $x\underline{>} 0$ and $0$ otherwise. The expected value of the function $g_X(x)=e^{3x/4}...
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219
GATE2015-39
The current in amperes through the resistor $R$ in the circuit shown in the figure is ______________ $A$.
The current in amperes through the resistor $R$ in the circuit shown in the figure is ______________ $A$.
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220
GATE2015-40
The linear $I-V$ characteristics of 2-terminal non-ideal dc sources $X$ and $Y$ are shown in the figure. If the sources are connected to a $1\Omega$ resistor as shown, the current through the resistor in amperes is ______________ A.
The linear $I-V$ characteristics of 2-terminal non-ideal dc sources $X$ and $Y$ are shown in the figure. If the sources are connected to a $1\Omega$ resistor as shown, th...
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221
GATE2015-41
Consider the circuits shown in the figure. The magnitude of the ratio of the currents, i.e., $|I_1/I_2|$, is ___________.
Consider the circuits shown in the figure. The magnitude of the ratio of the currents, i.e., $|I_1/I_2|$, is ___________.
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222
GATE2015-42
The circuit shown in the figure is in series resonance at frequency $f_c\;Hz$. The value of $V_c$ in volts is _____________ $V$.
The circuit shown in the figure is in series resonance at frequency $f_c\;Hz$. The value of $V_c$ in volts is _____________ $V$.
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223
GATE2015-43
The output frequency of an $LC$ tank oscillator employing a capacitive sensor acting as the capacitor of the tank is $100\;kHz$. If the sensor capacitance increases by $10\% $, the output frequency in kilohertz becomes ____________ $kHz.$
The output frequency of an $LC$ tank oscillator employing a capacitive sensor acting as the capacitor of the tank is $100\;kHz$. If the sensor capacitance increases by $1...
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224
GATE2015-44
The Seebeck coefficients, in $\mu V/^\circ C,$ for copper, constant an and iron, with respect to platinum, are $1.9, \:-38.3$ and $13.3$, respectively. The magnitude of the thermo emf $E$ developed in the circuit shown in the figure, in millivolts is _____________ $mV$.
The Seebeck coefficients, in $\mu V/^\circ C,$ for copper, constant an and iron, with respect to platinum, are $1.9, \:-38.3$ and $13.3$, respectively. The magnitude of t...
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226
GATE2015-46
In the circuit shown in the figure, it is found that $V_{BE}=0.7\:V$ and $V_E=0\:V$. If $\beta_{dc}=99$ for the transistor, then the value of $R_B$ in kilo ohms is _______________ $k\Omega$.
In the circuit shown in the figure, it is found that $V_{BE}=0.7\:V$ and $V_E=0\:V$. If $\beta_{dc}=99$ for the transistor, then the value of $R_B$ in kilo ohms is ______...
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228
GATE2015-53
In the circuit shown in the figure, both the $\text{NMOS}$ transistors are identical with their threshold voltages being $\text{5 V}$. Ignoring channel length modulation, the output voltage $V_{out}$ in volt is ______________ $V$.
In the circuit shown in the figure, both the $\text{NMOS}$ transistors are identical with their threshold voltages being $\text{5 V}$. Ignoring channel length modulation,...
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230
GATE2015-57
The fundamental period of the signal $x(t)=2\cos(\frac{2\pi t}{3})+\cos(\pi t)$, in seconds, is ________________ s.
The fundamental period of the signal $x(t)=2\cos(\frac{2\pi t}{3})+\cos(\pi t)$, in seconds, is ________________ s.
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231
GATE2015-58
If the deflection of the galvanometer in the bridge circuit shown in the figure is zero, then the value of $R_X$ in ohms is _______________ $\Omega.$
If the deflection of the galvanometer in the bridge circuit shown in the figure is zero, then the value of $R_X$ in ohms is _______________ $\Omega.$
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232
GATE2015-61
A system is represented in state-space as $\dot{X}=AX+BU,$ where $A=\begin{bmatrix} 1 & 2 \\ \alpha & 6\end{bmatrix}$ and $B=\begin{bmatrix} 1 \\ 1\end{bmatrix}$. The value of $\alpha$ for which the system is not controllable is _____________.
A system is represented in state-space as $\dot{X}=AX+BU,$ where $A=\begin{bmatrix} 1 & 2 \\ \alpha & 6\end{bmatrix}$ and $B=\begin{bmatrix} 1 \\ 1\end{bmatrix}$. The val...
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236
GATE2014-GA-4
In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04$.The average time between successive occurrences of such earthquakes is ______years.
In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04$.The average time between successive occurrence...
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238
GATE2014-2
Given that $x$ is a random variable in the range $[0,\infty]$ with a probability density function $\frac{e \frac{-x}{2}}{K}$, the value of the constant $K$ is __________.
Given that $x$ is a random variable in the range $[0,\infty]$ with a probability density function $\frac{e \frac{-x}{2}}{K}$, the value of the constant $K$ is __________....
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240
GATE2014-9
A pHelectrode obeys Nernst equation and is being operated at $25^\circ C$. The change in the open circuit voltage in millivolts across the electrode for a pH change from $6$ to $8$ is __________.
A pHelectrode obeys Nernst equation and is being operated at $25^\circ C$. The change in the open circuit voltage in millivolts across the electrode for a pH change from ...
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