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490
GATE2013-39
In the circuit shown below, if the source voltage $V_s=100\angle 53.13^\circ$ Volts, then the Thevenin’s equivalent voltage in Volts as seen by the load resistance $R_L$ is $100 \angle 90^\circ$ $800 \angle 0^\circ$ $800 \angle 90^\circ$ $100 \angle 60^\circ$
In the circuit shown below, if the source voltage $V_s=100\angle 53.13^\circ$ Volts, then the Thevenin’s equivalent voltage in Volts as seen by the load resistance $R_L...
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491
GATE2013-40
A signal $V_i(t)=10+10\sin 100\pi t+10\sin 4000 \pi t+10\sin 100000\pi t$ is supplied to a filter circuit (shown below) made up of ideal op-amps. The least attenuated frequency component in the output will be $\text{0 Hz}$ $\text{50 Hz}$ $\text{2 kHz}$ $\text{50 kHz}$
A signal $V_i(t)=10+10\sin 100\pi t+10\sin 4000 \pi t+10\sin 100000\pi t$ is supplied to a filter circuit (shown below) made up of ideal op-amps. The least attenuated fre...
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492
GATE2013-41
The signal flow graph for a system is given below. The transfer function $\frac{Y(s)}{U(s)}$ for this system is given as $\frac{s+1}{5s^2+6s+2}$ $\frac{s+1}{s^2+6s+2}$ $\frac{s+1}{s^2+4s+2}$ $\frac{1}{5s^2+6s+2}$
The signal flow graph for a system is given below. The transfer function $\frac{Y(s)}{U(s)}$ for this system is given as $\frac{s+1}{5s^2+6s+2}$$\frac{s+1}{s^2+6s+2}$ $\f...
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493
GATE2013-42
A voltage $1000\sin \omega t$ Volts is applied across $YZ$. Assuming ideal diodes, the voltage measured across $WX$ in Volts, is $\sin \omega t$ $(\sin \omega t+|\sin \omega t|)/2$ $(\sin \omega t-|\sin \omega t|)/2$ $0$ for all $t$
A voltage $1000\sin \omega t$ Volts is applied across $YZ$. Assuming ideal diodes, the voltage measured across $WX$ in Volts, is$\sin \omega t$$(\sin \omega t+|\sin \omeg...
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494
GATE2013-43
In the circuit shown below the op-amps are ideal. Then $V_{out}$ in Volts is $4$ $6$ $8$ $10$
In the circuit shown below the op-amps are ideal. Then $V_{out}$ in Volts is$4$$6$$8$$10$
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499
GATE2013-34
The impulse response of a continuous time system is given by $h(t)=\delta(t-1)+\delta (t-3)$. The value of the step response at $t=2$ is $0$ $1$ $2$ $3$
The impulse response of a continuous time system is given by $h(t)=\delta(t-1)+\delta (t-3)$. The value of the step response at $t=2$ is$0$$1$$2$$3$
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502
GATE2013-23
In the circuit shown below what is the output voltage $(V_{out})$ in Volts if a silicon transistor Q and an ideal op-amp are used? $-15$ $-0.7$ $+0.7$ $+15$
In the circuit shown below what is the output voltage $(V_{out})$ in Volts if a silicon transistor Q and an ideal op-amp are used?$-15$$-0.7$$+0.7$$+15$
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504
GATE2013-25
The bode plot of a transfer function $G(s)$ is shown in the figure below. The gain $(20\;log|G(s)|)$ is $32$ dB and $-8$ dB at $1$ rad/s and $10$ rad/s respectively. The phase is negative for all $\omega$. Then $G(s)$ is $\frac{39.8}{s}$ $\frac{39.8}{s^2}$ $\frac{32}{s}$ $\frac{32}{s^2}$
The bode plot of a transfer function $G(s)$ is shown in the figure below.The gain $(20\;log|G(s)|)$ is $32$ dB and $-8$ dB at $1$ rad/s and $10$ rad/s respectively. The p...
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505
GATE2013-29
Considering the transformer to be ideal, the transmission parameter $’A’$ of the 2-port network a shown in the figure below is $1.3$ $1.4$ $0.5$ $2.0$
Considering the transformer to be ideal, the transmission parameter $’A’$ of the 2-port network a shown in the figure below is $1.3$$1.4$$0.5$$2.0$
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506
GATE2013-17
A band-limited signal with a maximum frequency of $5\;kHz$ is to be sampled. According to the sampling theorem, the sampling frequency in $kHz$ which is not valid is $5$ $12$ $15$ $20$
A band-limited signal with a maximum frequency of $5\;kHz$ is to be sampled. According to the sampling theorem, the sampling frequency in $kHz$ which is not valid is$5$$1...
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507
GATE2013-18
The differential pressure transmitter of a flow meter using a venturi tube reads $2.5\times 10^5\;Pa$ for a flow rate of $0.5\;m^3/s$. The approximate flow rate in $m^3/s$ for a differential pressure $0.9\times 10^5\;Pa$ is $0.30$ $0.18$ $0.83$ $0.60$
The differential pressure transmitter of a flow meter using a venturi tube reads $2.5\times 10^5\;Pa$ for a flow rate of $0.5\;m^3/s$. The approximate flow rate in $m^3/s...
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509
GATE2013-20
The impulse response of a system is $h(t)=t\;u(t)$. For an input $u(t-1),$ the output is $\frac{t^2}{2}u(t)$ $\frac{t(t-1)}{2}u(t-1)$ $\frac{(t-1)^2}{2}u(t-1)$ $\frac{t^2-1}{2}u(t-1)$
The impulse response of a system is $h(t)=t\;u(t)$. For an input $u(t-1),$ the output is$\frac{t^2}{2}u(t)$$\frac{t(t-1)}{2}u(t-1)$$\frac{(t-1)^2}{2}u(t-1)$$\frac{t^2-1}{...
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510
GATE2013-21
Consider a delta connection of resistors and its equivalent star connection as shown. If all elements of the delta connection are scaled by a factor k, k>0, the elements of the corresponding star equivalent will be scaled by a factor of $k^2$ $k$ $\frac{1}{k}$ $\sqrt{k}$
Consider a delta connection of resistors and its equivalent star connection as shown. If all elements of the delta connection are scaled by a factor k, k>0, the elements ...
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511
GATE2013-22
An accelerometer has input range of $0$ to $10g$, natural frequency $30\; Hz$ and mass $0.001\;kg$. The range of the secondary displacement transducer in mm required to cover the input range is $0\;to\;2.76$ $0\;to\;9.81$ $0\;to\;11.20$ $0\;to\;52.10$
An accelerometer has input range of $0$ to $10g$, natural frequency $30\; Hz$ and mass $0.001\;kg$. The range of the secondary displacement transducer in mm required to c...
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512
GATE2013-8
A source $v_s(t)=V\cos 100 \pi t$ has an internal impedance of $4+j3\; \Omega$. If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in $\Omega$ should be $3$ $4$ $5$ $7$
A source $v_s(t)=V\cos 100 \pi t$ has an internal impedance of $4+j3\; \Omega$. If a purely resistive load connected to this source has to extract the maximum power out o...
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514
GATE2013-10
The Operational amplifier shown in the circuit below has a slew rate of $0.8\; Volts/\mu s$. The input signal is $0.25\; \sin (\omega t).$ The maximum frequency of input in kHz for which there is no distortion in the output is $23.84$ $25.0$ $50.0$ $46.60$
The Operational amplifier shown in the circuit below has a slew rate of $0.8\; Volts/\mu s$. The input signal is $0.25\; \sin (\omega t).$ The maximum frequency of input ...
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515
GATE2013-11
Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is $u(t)$ $t u(t)$ $\frac{t^2}{2}u(t)$ $e^{-t}u(t)$
Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is$u(t)$$t u(t)$$\frac{t^2}{2}u(t)$$e^{-t}u(t)$
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516
GATE2013-12
The transfer function $\frac{V_2(s)}{V_1(s)}$ of the circuit shown below is $\frac{0.5s+1}{s+1}$ $\frac{3s+6}{s+2}$ $\frac{s+2}{s+1}$ $\frac{s+1}{s+2}$
The transfer function $\frac{V_2(s)}{V_1(s)}$ of the circuit shown below is $\frac{0.5s+1}{s+1}$$\frac{3s+6}{s+2}$$\frac{s+2}{s+1}$$\frac{s+1}{s+2}$
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517
GATE2013-14
The discrete-time transfer function $\frac{1-2 Z^{-1}}{1-0.5Z^{-1}}$ is non-minimum phase and unstable minimum phase and unstable minimum phase and stable non-minimum phase and stable
The discrete-time transfer function $\frac{1-2 Z^{-1}}{1-0.5Z^{-1}}$ isnon-minimum phase and unstableminimum phase and unstableminimum phase and stablenon-minimum phase a...
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518
GATE2013-15
Match the following biomedical instrumentation techniques with their applications $\text{P-U, Q-V, R-X, S-W}$ $\text{P-V, Q-U, R-X, S-W}$ $\text{P-V, Q-W, R-U, S-X}$ $\text{P-V, Q-W, R-X, S-U}$
Match the following biomedical instrumentation techniques with their applications$\text{P-U, Q-V, R-X, S-W}$$\text{P-V, Q-U, R-X, S-W}$$\text{P-V, Q-W, R-U, S-X}$$\text{P...
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519
GATE2013-2
If the A-matrix of the state space model of a $SISO$ linear time invariant system is rank deficient, the transfer function of the system must have a pole with a positive real part a pole with a negative real part a pole with a positive imaginary part a pole at the origin
If the A-matrix of the state space model of a $SISO$ linear time invariant system is rank deficient, the transfer function of the system must have a pole with a positive ...
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520
GATE2013-3
Two systems with impulse responses $h_1(t)\;and\; h_2(t)$ are connected in cascade. Then the overall impulse response of the cascaded system is given by product of $h_1(t)\;and\;h_2(t)$ sum of $h_1(t)\;and\;h_2(t)$ convolution of $h_1(t)\;and\;h_2(t)$ subtraction of $h_2(t)\;and\;h_1(t) $
Two systems with impulse responses $h_1(t)\;and\; h_2(t)$ are connected in cascade. Then the overall impulse response of the cascaded system is given byproduct of $h_1(t)...
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