Questions by piyag476

The equation$\begin{bmatrix} 2&-2 \\ 1& -1 \end{bmatrix}\begin{bmatrix} x_1\\ x_2 \end{bmatrix}=\begin{bmatrix} 0\\0 \end{bmatrix}$ hasno solutiononly one solution $\begi...

Given a vector field $\textbf{F}=y^2x \textbf{a}_x-yz \textbf{a}_y-x^2 \textbf{a}_z$ the line integral $\int \textbf{F} \cdot d \textbf{l}$ evaluated along a segment on t...

Square roots of $-i$,where $i=\sqrt{-1}$, are$i,-i \\$$\cos(-\dfrac{\pi }{4} )+i\sin(-\dfrac{\pi }{4})+\cos(\dfrac{3\pi }{4})+i\sin(\dfrac{3\pi }{4}) \\$$\cos(\dfrac{\pi ...

Three moving iron type voltmeters are connected as shown below. Voltmeter readings are $V$, $V1$ and $V2$ , as indicated. The correct relation among the voltmeter reading...

Leakage flux in an induction motor isflux that leaks through the machineflux that links both stator and rotor windingsflux that links none of the windingsflux that links ...

The angle $\delta$ in the swing equation of a synchronous generator is theangle between stator voltage and current.angular displacement of the rotor with respect to the s...

Consider a $\delta$ connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor $k, k 0$, t...

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...

For a periodic signal $v(t) = 30 \sin100t +10 \cos 300t + 6 \sin (500t+\pi /4)$, the fundamental frequency in $rad/s$ is$100$$300$$500$$1500$

A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned $ON$ and also can be turned $OFF...

The Bode plot of a transfer function $G(s)$ is shown in the figure below.The gain $\big(20 \log\mid G(s) \mid \big)$ is $32 dB$ and $-8 dB$ at $1$ rad/s and $10$ rad/s r...

The input impedance of the permanent magnet moving coil $(PMMC)$ voltmeter is infinite. Assuming that the diode shown in the figure below is ideal, the reading of the vol...

In the feedback network shown below,if the feedback factor $k$ is increased, then theinput impedance increases and output impedance decreases.input impedance increases an...

The curl of the gradient of the scaler field defined by $V=2x^2y+3y^2z+4z^2x$ is$4xy \textbf{a}_x+6yz \textbf{a}_y+8zx \textbf{a}_z$$4 \textbf{a}_x+6\textbf{a}_y+8 \textb...

A continuous random variable $X$ has a probability density function $f(x)=e^{-x}, 0< x< \infty$. then $P\{X 1\}$$0.368$$0.5$$0.632$$1.0$

The flux density at a point in space is given by $\textbf{B}=4x \textbf{a}_x+2ky \textbf{a}_y+8 \textbf{a}_z \:\: Wb/m^2$. The value of constant $k$ must be equal to$-2$...

A single-phase transformer has no-load loss of $64W$,as obtained from an open-circuit test.when a short-circuit test is performed on it with $90\%$ of the rated current f...

A single-phase load is supplied by a single-phase voltage source. If the current flowing from the load to the source is $10\angle -150^0\: A$ and if the voltage at the lo...

A source $V_s(t) =V\cos100\pi t$ 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 ...

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 $h_1(t)$ ...