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Recent questions tagged numerical-answers

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242
GATE2014-6
The circuit shown in figure was at steady state for $t < 0$ with the switch at position $‘A’$. The switch is thrown to position $‘B’$ at time $t=0$. The voltage V(volts) across the $10\Omega$ resistor at time $t=0^+$ is __________.
The circuit shown in figure was at steady state for $t < 0$ with the switch at position $‘A’$. The switch is thrown to position $‘B’$ at time $t=0$. The voltage ...
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243
GATE2014-15
For the circuit shown in the figure assume ideal diodes with zero forward resistance and zero forward voltage drop. The current through the diode $D_2$ in $mA$ is _________.
For the circuit shown in the figure assume ideal diodes with zero forward resistance and zero forward voltage drop. The current through the diode $D_2$ in $mA$ is _______...
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244
GATE2014-21
A loop transfer function is given by: $G(s)H(s)=\frac{K(s+2)}{s^2(s+10)}$ The point of intersection of the asymptotes of $G(s)H(s)$ on the real axis in the s-plane is at _________
A loop transfer function is given by:$$G(s)H(s)=\frac{K(s+2)}{s^2(s+10)}$$The point of intersection of the asymptotes of $G(s)H(s)$ on the real axis in the s-plane is at ...
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245
GATE2014-29
In the circuit shown in the figure, initially the capacitor is uncharged. The switch $‘S’$ is closed at $t=0$. Two milliseconds after the switch is closed, the current through the capacitor (in mA) is __________.
In the circuit shown in the figure, initially the capacitor is uncharged. The switch $‘S’$ is closed at $t=0$. Two milliseconds after the switch is closed, the curren...
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246
GATE2014-30
A capacitor $’C’$ is to be connected across the terminal $’A’$ and $’B’$ as shown in the figure so that the power factor of the parallel combination becomes unity. The value of the capacitance required in $\mu F$ is ___________.
A capacitor $’C’$ is to be connected across the terminal $’A’$ and $’B’$ as shown in the figure so that the power factor of the parallel combination becomes u...
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248
GATE2014-32
The circuit shown in the figure contains a dependent current source between $A$ and $B$ terminals. The Thevenin’s equivalent resistance is $k\Omega$ between the terminals $C$ and $D$ is ___________.
The circuit shown in the figure contains a dependent current source between $A$ and $B$ terminals. The Thevenin’s equivalent resistance is $k\Omega$ between the termina...
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249
GATE2014-33
A thermistor has a resistance of $1\;k\Omega$ at temperature $298\;K$ and $465\;\Omega$ at temperature $316\;K$. The temperature sensitivity in $K^{-1}[i.e(1/R)(dR/dT),$ where $R$ is the resistance at the temperature $T(in\; K)]$, of this thermistor at $316\;K$ is ___________.
A thermistor has a resistance of $1\;k\Omega$ at temperature $298\;K$ and $465\;\Omega$ at temperature $316\;K$. The temperature sensitivity in $K^{-1}[i.e(1/R)(dR/dT),$ ...
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253
GATE2014-37
Assuming an ideal op-amp in linear range of operation, the magnitude of the transfer impedance $\frac{V_0}{i}$ in $M\Omega$ of the current to voltage converter shown in the figure is ___________.
Assuming an ideal op-amp in linear range of operation, the magnitude of the transfer impedance $\frac{V_0}{i}$ in $M\Omega$ of the current to voltage converter shown in t...
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254
GATE2014-38
For the circuit shown in the figure, the transistor has $\beta=40, V_{BE}=0.7\;V$, and the voltage across the Zener diode is $15\;V$. The current (in mA) through the Zener diode is ____________.
For the circuit shown in the figure, the transistor has $\beta=40, V_{BE}=0.7\;V$, and the voltage across the Zener diode is $15\;V$. The current (in mA) through the Zene...
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256
GATE2014-40
The figures show an oscillator circuit having an ideal Schmitt trigger and its input-output characteristics. The time period (in ms) of $v_{\circ}(t)$ is ______________.
The figures show an oscillator circuit having an ideal Schmitt trigger and its input-output characteristics. The time period (in ms) of $v_{\circ}(t)$ is ______________.
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257
GATE2014-46
The transfer function of a system is given by $G(s)=\frac{e^{-s/500}}{s+500}$ The input to the system is $x(t)=\sin100\pi t$. In periodic steady state the output of the system is found to be $y(t)=A\sin(100\pi t-\phi).$ The phase angle $(\phi )$ in degree is ___________.
The transfer function of a system is given by$$G(s)=\frac{e^{-s/500}}{s+500}$$The input to the system is $x(t)=\sin100\pi t$. In periodic steady state the output of the s...
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258
GATE2014-49
The loop transfer function of a feedback control system is given by $G(s)H(s)=\frac{1}{s(s+1)(9s+1)}$ Its phase crossover frequency (in rad/s), approximated to two decimal places, is ______________.
The loop transfer function of a feedback control system is given by$$G(s)H(s)=\frac{1}{s(s+1)(9s+1)}$$Its phase crossover frequency (in rad/s), approximated to two decima...
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262
GATE2014-55
For the given low-pass circuit shown in the figure, the cutoff frequency in Hz will be ____________.
For the given low-pass circuit shown in the figure, the cutoff frequency in Hz will be ____________.
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263
GATE2018IN: 55
A multi-mode optical fiber with a large core diameter has a core refractive index $n_1 = 1.5$ and cladding refractive index $n_2 = 1.4142.$ The maximum value of $\theta_A$ (in degrees) for which the incident light from air will be guided in the optical fiber is $\pm$ _______________.
A multi-mode optical fiber with a large core diameter has a core refractive index $n_1 = 1.5$ and cladding refractive index $n_2 = 1.4142.$ The maximum value of $\theta_A...
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266
GATE2018IN: 53
The sampling rate for Compact Discs $(CDs)$ is $44,000\; samples/s$. If the samples are quantized to $256$ levels and binary coded, the corresponding bit rate (in bits per second) is ____________.
The sampling rate for Compact Discs $(CDs)$ is $44,000\; samples/s$. If the samples are quantized to $256$ levels and binary coded, the corresponding bit rate (in bits pe...
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267
GATE2018IN: 52
Assuming ideal opamp, the $RMS$ voltage (in mV) in the output $V{_o}$ only due to the $230V,\; 50\; Hz$ interference is (up to one decimal place) __________.
Assuming ideal opamp, the $RMS$ voltage (in mV) in the output $V{_o}$ only due to the $230V,\; 50\; Hz$ interference is (up to one decimal place) __________.
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268
GATE2018IN: 51
A $1000\;\Omega$ strain gage $(R_g$) has a gage factor of $2.5$. It is connected in the bridge as shown in figure. The strain gage is subjected with a positive strain of $400\; \mu m/m.$ The output $V_0$ (in $mV$) of the bridge is(up to two decimal places) $\_\_\_\_\_\_\_$.
A $1000\;\Omega$ strain gage $(R_g$) has a gage factor of $2.5$. It is connected in the bridge as shown in figure. The strain gage is subjected with a positive strain of ...
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270
GATE2018IN: 49
The inductance of a coil is measured using the bridge shown in the figure. Balance $(D = 0)$ is obtained with $C_1= 1\; nF, R_1 = 2.2\; M\Omega, R_2 = 22.2\; k\Omega, R_4 = 10\; k\Omega$. The value of the inductance $L_x$ (in $\text{mH} $ is $\_\_\_\_\_\_$
The inductance of a coil is measured using the bridge shown in the figure. Balance $(D = 0)$ is obtained with $C_1= 1\; nF, R_1 = 2.2\; M\Omega, R_2 = 22.2\; k\Omega, R...
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272
GATE2018IN: 42
The circuit given uses ideal opamps. The current $I$ (in $\mu$A) drawn from the source v$_s$ is (up to two decimal places) $\_\_\_\_\_$.
The circuit given uses ideal opamps. The current $I$ (in $\mu$A) drawn from the source v$_s$ is (up to two decimal places) $\_\_\_\_\_$.
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274
GATE2018IN: 40
In the given relaxation oscillator, the opamps and the zener diodes are ideal. The frequency (in $kHz$) of the square wave output $v_{\circ}$ is $\_\_\_\_\_\_$.
In the given relaxation oscillator, the opamps and the zener diodes are ideal. The frequency (in $kHz$) of the square wave output $v_{\circ}$ is $\_\_\_\_\_\_$.
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276
GATE2018IN: 38
Consider a standard negative feedback configuration with G(s) = $\frac{1}{(s+1)(s+2)}$ and H(s) = $\frac{s+a}{s}$, For the closed loop system to have poles on the imaginary axis, the value of $\alpha$ should be equal to (up to one decimal place)$\_\_\_\_\_\_$.
Consider a standard negative feedback configuration with G(s) = $\frac{1}{(s+1)(s+2)}$ and H(s) = $\frac{s+a}{s}$, For the closed loop system to have poles on the imagina...
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277
GATE2018IN:36
Consider the standard negative feedback configuration with G(s) = $\frac{s^2+0.2s+100}{s^2 – 0.2s +100}$ and H(s) = $\frac{1}{2}$. The number of clockwise encirclements of (-1,0) in the Nyquist plot of the Loop transfer-function G(s)H(s) is $\_\_\_\_\_$
Consider the standard negative feedback configuration with G(s) = $\frac{s^2+0.2s+100}{s^2 – 0.2s +100}$ and H(s) = $\frac{1}{2}$. The number of clockwise encirclements...
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278
GATE2018IN: 31
In the figure, an RLC load supplied by a 230 V, 50 Hz single phase source. The magnitude of the reactive power (in VAr) supplied by the source is $\_\_\_\_\_$.
In the figure, an RLC load supplied by a 230 V, 50 Hz single phase source. The magnitude of the reactive power (in VAr) supplied by the source is $\_\_\_\_\_$.
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279
GATE2018IN:30
In the given circuit, superposition is applied.When V$_2$ is set to 0 V, the current I$_2$ is -6 A. When V$_1$ is set to 0 v, the current I$_1$ is + 6A. Current I$_3$ (in A) when both sources are applied will be (up to two decimal places)$\_\_\_\_\_$.
In the given circuit, superposition is applied.When V$_2$ is set to 0 V, the current I$_2$ is -6 A. When V$_1$ is set to 0 v, the current I$_1$ is + 6A. Current I$_3$ (in...
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280
GATE2018IN: 25
An optical pulse containing 6 x 10$^6$ photons is incident on a photodiode and 4.5 x 10$^6$ electron-hole pairs are created. The maximum possible quantum efficiency (in %) of the photodiode is $\_\_\_\_$.
An optical pulse containing 6 x 10$^6$ photons is incident on a photodiode and 4.5 x 10$^6$ electron-hole pairs are created. The maximum possible quantum efficiency (in %...
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