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GATE2019 EE: 2
$M$ is $2 \times 2$ matrix with eigenvalues $4$ and $9.$ The eigenvalues of $M^{2}$ are $4$ and $9$ $2$ and $3$ $2$ and $3$ $16$ and $81$
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GATE2019 EE: 24
The Rank of the matrix, $M = \begin{bmatrix} 0 &1 &1 \\ 1& 0 &1 \\ 1& 1 & 0 \end{bmatrix}$, is ______________.
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GATE2019 EE: 39
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GATE2019 EE: 49
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GATE2019 EE: 28
A periodic function $\large{f(t)},$ with a period of 2$\pi$, is represented as its fourier series, $\large{f(t)} = a_0 + \sum_{n=1}^{\infty }a_n cos nt + \sum_{n=1}^{\infty} b_n sin nt.$}$ If $\large{f(t)} = \left\{\begin{matrix} Asint, & 0 \le t\le \pi\\ 0, & \pi ... $a_1 = \frac{A}{2}; b_1 = 0$ $a_1 = 0;b_1 = \frac{A}{\pi}$ $a_1 = 0;b_1 = \frac{A}{2}$
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GATE2019 EE: 20
A coaxial Cylindrical capacitor is shown in the Figure(i) has dielectric with relative permittivity $\epsilon_{r1} = 2.$. When one – fourth portion of the dielectric is replaced with another dielectric of relative permittivity $\epsilon_{r2}$, as shown in the Figure(ii), the capacitance is doubled. The value of $\epsilon_{r2}$ is _________.
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GATE2019 EE: 21
The $Y_{bus}$ matrix of a twobus power system having two identical parallel lines connected between them in pu is given as $Y_{bus} = \begin{bmatrix} j8 & j20 \\ j20& j8 \end{bmatrix}$ The magnitudde of the series reactance of each line in pu (round off upto one decimal place) is__________.
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GATE2019 EE: 19
The current $I$ is flowing in the circuit shown below in amperes (round off to one decimal place) is _____
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GATE2019 EE: 10
The parameter of an equivalent circuit of a threephase induction motor affected by reducing the rms value of the supply voltage at the rated frequency is rotor resistance rotor leakage reactance magnetizing reactance stator resistance
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GATE2019 EE: 25
The output voltage of a singlephase fullbridge voltage source inverter is controlled by unipolar PWM with one pulse per half cycle. For the fundamental rms Component of the output voltage to be 75% of DC voltage, The required pulse width in degrees (round off up to one decimal place) is ___________.
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GATE2019 EE: 45
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GATE2019 EE: 17
A current controlled current source (CCCS) has an input impedance of $10 \Omega$ and output impedance of $100k\Omega$. When this CCCS is used in a negative feedback closed loop with a loop gain of $9$, the closed loop output impedance is $10 \Omega$ $100 \Omega$ $100 k\Omega$ $1000 k\Omega$
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GATE2019 EE: 27
The closedloop line integral $\oint_{z = 5} \frac{z^3 + z^2 + 8}{z+2}dz$ Evaluated Counterclockwise is $+8j\pi$ $8j\pi$ $4j\pi$ $+4\pi$
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GATE2019 EE: 26
Consider a $2\times 2$ matrix $M=\begin{bmatrix} v_1 & v_2 \end{bmatrix}$, where $v_1$ and $v_2$ are the column vectors. Suppose $M^{1}=\begin{bmatrix} u_1^T \\ u_2^T \end{bmatrix}$, where $u_1^T$ and $u_2^T$ are the row ... Statement 1 is True and Statement 2 is false Statement 2 is true and Statement 1 is false Both the Statements are true Both the statements are false
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GATE2019 EE: 41
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GATE2019 EE: 12
In the circuit shown below, the switch is closed at $t=0$. The value of $\theta$ in degrees which whill give the maximum value of DC offset of the current at the time of switching is $60$ $45$ $90$ $30$
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GATE2019 EE: 37
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GATE2019 EE: 22
Five alternators each rated 5 MVA, 13.2 kV with 25% of reactance on its own base are connected in parallel to a busbar. The short circuit level in MVA at the busbar is ____________.
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19
GATE2019 EE: 1
The inverse Laplace transform of $H(s)=\frac{s+3}{s^{2}+2s+1} for \quad t \geq0$ $3te^{t}+e^{t}$ $3e^{t}$ $2te^{t}+e^{t}$ $4te^{t}+e^{t}$
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GATE2019 EE: 51
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