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42
GATE Electrical 2012 | Question: 24
The typical ratio of latching current to holding current in a $20$ A thyristor is $5.0$ $2.0$ $1.0$ $0.5$
The typical ratio of latching current to holding current in a $20$ A thyristor is$5.0$$2.0$$1.0$$0.5$
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43
GATE Electrical 2012 | Question: 23
A half-controlled single-phase bridge rectifier is supplying an R-L load. It is operated at a firing angle $\alpha$ and the load current is continuous. The fraction of cycle that the freewheeling diode conduct is $1/2$ $\big( 1- \alpha/ \pi \big)$ $\alpha / 2 \pi $ $\alpha/ \pi$
A half-controlled single-phase bridge rectifier is supplying an R-L load. It is operated at a firing angle $\alpha$ and the load current is continuous. The fraction of cy...
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44
GATE Electrical 2012 | Question: 22
The sequence components of the fault current are as follows: $I_{\text{positive}} = j1.5$ pu, $I_{\text{negative}} =- j0.5$ pu, $I_{\text{zero}} = – j1$ pu. The type of fault in the system is LG LL LLG LLLG
The sequence components of the fault current are as follows: $I_{\text{positive}} = j1.5$ pu, $I_{\text{negative}} =- j0.5$ pu, $I_{\text{zero}} = – j1$ pu. The type of...
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46
GATE Electrical 2012 | Question: 20
Consider the given circuit. In this circuit, the race around does not occur occurs when $\text{CLK}=0$ occurs when $\text{CLK}=1$ and $A=B=1$ occurs when $\text{CLK}=1$ and $A=B=0$
Consider the given circuit. In this circuit, the race arounddoes not occuroccurs when $\text{CLK}=0$occurs when $\text{CLK}=1$ and $A=B=1$occurs when $\text{CLK}=1$ and $...
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47
GATE Electrical 2012 | Question: 19
The output $Y$ of a $2$-bit comparator is logic $1$ whenever the $2$-bit input A is greater than the $2$-bit input B. The number of combinations of which the output is logic $1$, is $4$ $6$ $8$ $10$
The output $Y$ of a $2$-bit comparator is logic $1$ whenever the $2$-bit input A is greater than the $2$-bit input B. The number of combinations of which the output is lo...
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48
GATE Electrical 2012 | Question: 18
The $i-v$ characteristics of the diode in the circuit given below are $i= \begin{cases} \dfrac{v-0.7}{500}A, & v \geq 0.7 \: V \\ 0 A, & v <0.7 \: V \end{cases}$ The current in the circuit is $10 \: mA$ $9.3\: mA$ $6.67\: mA$ $6.2\: mA$
The $i-v$ characteristics of the diode in the circuit given below are $$i= \begin{cases} \dfrac{v-0.7}{500}A, & v \geq 0.7 \: V \\ 0 A, & v <0.7 \: V \end{cases}$$ The cu...
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49
GATE Electrical 2012 | Question: 17
In the following figure, $C_1$ and $C_2$ are ideal capacitors. $C_1$ has been charged to $12$ V before the ideal switch $S$ is closed at $t=0$. The current $i(t)$ for all $t$ is zero a step function an exponentially decaying function an impulse function
In the following figure, $C_1$ and $C_2$ are ideal capacitors. $C_1$ has been charged to $12$ V before the ideal switch $S$ is closed at $t=0$. The current $i(t)$ for all...
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50
GATE Electrical 2012 | Question: 16
The average power delivered to an impedance $(4-j3) \Omega$ by a current $5 \cos (100 \pi \:t +100)$A is $44.2$ W $50$ W $62.5$ W $125$ W
The average power delivered to an impedance $(4-j3) \Omega$ by a current $5 \cos (100 \pi \:t +100)$A is$44.2$ W$50$ W$62.5$ W$125$ W
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51
GATE Electrical 2012 | Question: 15
The unilateral Laplace transform of $f(t)$ is $\dfrac{1}{s^2+s+1}$. The unilateral Laplace transform of $t f(t)$ is $ – \dfrac{s}{(s^2+s+1)^2} \\ $ $ – \dfrac{2s+1}{(s^2+s+1)^2} \\$ $ \dfrac{s}{(s^2+s+1)^2} \\$ $ \dfrac{2s+1}{(s^2+s+1)^2}$
The unilateral Laplace transform of $f(t)$ is $\dfrac{1}{s^2+s+1}$. The unilateral Laplace transform of $t f(t)$ is$ – \dfrac{s}{(s^2+s+1)^2} \\ $$ – \dfrac{2s+1}{(s^...
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52
GATE Electrical 2012 | Question: 14
With initial condition $x(1)=0.5$, the solution of the differential equation $t\dfrac{dx}{dt}+x=t$ is $x=t-\dfrac{1}{2} \\ $ $x=t^2-\dfrac{1}{2} \\ $ $x=\dfrac{t^2}{2} \\$ $x=\dfrac{t}{2}$
With initial condition $x(1)=0.5$, the solution of the differential equation $t\dfrac{dx}{dt}+x=t$ is$x=t-\dfrac{1}{2} \\ $$x=t^2-\dfrac{1}{2} \\ $$x=\dfrac{t^2}{2} \\$$x...
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53
GATE Electrical 2012 | Question: 13
The bridge method commonly used for finding mutual inductance is Heaviside Campbell bridge Schering bridge De Sauty bridge Wien bridge
The bridge method commonly used for finding mutual inductance isHeaviside Campbell bridgeSchering bridgeDe Sauty bridgeWien bridge
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54
GATE Electrical 2012 | Question: 12
A periodic voltage waveform observed on an oscilloscope across a load is shown. A permane magnet moving coil (PMMC) meter connected across the same load reads $4$V $5$ V $8$ V $10$ V
A periodic voltage waveform observed on an oscilloscope across a load is shown. A permane magnet moving coil (PMMC) meter connected across the same load reads$4$V$5$ V$8$...
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55
GATE Electrical 2012 | Question: 11
A two-phase load draws the following phase currens: $i_1(t)=I_m \sin(\omega t – \phi_1), i_2(t) = I_m \cos(\omega t – \phi_2)$. These currents are balanced if $\phi_1$ is equal to $- \phi_2$ $\phi_2$ $\pi/2 - \phi_2$ $\pi/2 + \phi_2$
A two-phase load draws the following phase currens: $i_1(t)=I_m \sin(\omega t – \phi_1), i_2(t) = I_m \cos(\omega t – \phi_2)$. These currents are balanced if $\phi_1...
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56
GATE Electrical 2012 | Question: 10
The slip of an induction motor normally does not depend on rotor speed synchronous speed shaft torque core-loss component
The slip of an induction motor normally does not depend onrotor speedsynchronous speedshaft torquecore-loss component
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58
GATE Electrical 2012 | Question: 8
If $x[n]=(1/3)^{\mid n \mid} – (1/2)^n \: u[n]$, then the region of convergence (ROC) of its $Z$-transform in the $Z$-plane will be $\dfrac{1}{3} < \mid z \mid < 3 \\$ $\dfrac{1}{3} < \mid z \mid < \dfrac{1}{2} \\$ $\dfrac{1}{2} < \mid z \mid < 3 \\$ $\dfrac{1}{3} < \mid z \mid $
If $x[n]=(1/3)^{\mid n \mid} – (1/2)^n \: u[n]$, then the region of convergence (ROC) of its $Z$-transform in the $Z$-plane will be$\dfrac{1}{3} < \mid z \mid < 3 \\$$\...
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60
GATE Electrical 2012 | Question: 6
A system with transfer function $G(s) =\frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$ is excited by $\sin (\omega t)$. The steady-state output of the system is zero at $\omega = 1 \text{ rad/s}$ $\omega = 2\text{ rad/s}$ $\omega = 3 \text{ rad/s}$ $\omega = 4 \text{ rad/s}$
A system with transfer function $$G(s) =\frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$$ is excited by $\sin (\omega t)$. The steady-state output of the system is zero at$\omega = ...
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61
GATE Electrical 2012 | Question: 5
The impedance looking into nodes $1$ and $2$ in the given circuit is $50 \: \Omega$ $100 \: \Omega$ $5 \: \Omega$ $10.1 \: \Omega$
The impedance looking into nodes $1$ and $2$ in the given circuit is$50 \: \Omega$$100 \: \Omega$$5 \: \Omega$$10.1 \: \Omega$
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62
GATE Electrical 2012 | Question: 4
In the circuit shown below, the current through the inductor is $\dfrac{2}{1+j} A\\ $ $\dfrac{-1}{1+j} A\\$ $\dfrac{1}{1+j} A \\$ $0 A$
In the circuit shown below, the current through the inductor is$\dfrac{2}{1+j} A\\ $$\dfrac{-1}{1+j} A\\$$\dfrac{1}{1+j} A \\$$0 A$
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63
GATE Electrical 2012 | Question: 3
Given $f(z) = \dfrac{1}{z+1} – \dfrac{2}{z+3}$. If $C$ is a counterclockwise path in the $z$-plane such that $\mid z+1 \mid =1$, the value of $\dfrac{1}{2 \pi \: j} \oint_c f(z) dz$ is $-2$ $-1$ $1$ $2$
Given $f(z) = \dfrac{1}{z+1} – \dfrac{2}{z+3}$. If $C$ is a counterclockwise path in the $z$-plane such that $\mid z+1 \mid =1$, the value of $\dfrac{1}{2 \pi \: j} \oi...
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64
GATE Electrical 2012 | Question: 2
If $x=\sqrt{-1}$, then the value of $x^x$ is $e^{- \pi/2}$ $e^{\pi/2}$ $x$ $1$
If $x=\sqrt{-1}$, then the value of $x^x$ is$e^{- \pi/2}$$e^{\pi/2}$$x$$1$
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65
GATE Electrical 2012 | Question: 1
Two independent random variables $X$ and $Y$ are uniformly distributed in the interval $[-1,1]$. The probability that $\text{max}[X,Y]$ is less than $1/2$ is $3/4$ $9/16$ $1/4$ $2/3$
Two independent random variables $X$ and $Y$ are uniformly distributed in the interval $[-1,1]$. The probability that $\text{max}[X,Y]$ is less than $1/2$ is$3/4$$9/16$$1...
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