Recent activity by Shubham Sharma 2

The fuel cost functions of two power plants are Plant $P_1 : C_1=0.05Pg_1^2+APg_1+B$ Plant $P_2 : C_2=0.10Pg...

A three phase synchronous generator is to be connected to the infinite bus. The lamps are connected as shown in the figure for the synchronization. The phase sequence of ...

The figure shows a two-generator system supplying a load of $P_D = 40$ MW, connected at bus $2$. The fuel cost of generations $G_1$ and $G_2$ are:$C_1(P_{G1})=10,000$ Rs/...

A quadratic function of two variables is given as $$ f\left(x_{1}, x_{2}\right)=x_{1}^{2}+2 x_{2}^{2}+3 x_{1}+3 x_{2}+x_{1} x_{2}+1$$The magnitude of the maximum rate of...

Let, $f\left ( x,y, z \right ) = 4x^{2} + 7xy + 3xz^{2}$. The direction in which the function $\text{f(x, y, z)}$ increases most rapidly at point $P = (1,0,2)$ is$20\hat{...

​​​​Consider a vector $\bar{u}=2 \hat{x}+\hat{y}+2 \hat{z}$, where $\hat{x}, \hat{y}, \hat{z}$ represent unit vectors along the coordinate axes $x, y, z$ respectively. Th...

Thyristor $T_{1}$ is triggered at an angle $\alpha$ (in degree), and $T_{2}$ at angle $180^{\circ}+\alpha$, in each cycle of the sinusoidal input voltage. Assume both thy...

A single-phase $SCR$ based $ac$ regulator is feeding power to a load consisting of $5 \Omega$ resistance and $16 \: mH$ inductance. The input supply is $230 \: V$, $50 \:...

In an $8085$ microprocessor, the following program is executed$\begin{array}{rl}\textbf{Address} \\ \textbf{location} & \textbf{Instruction} \\ \text{2000H} & \text{XRA ...

The following measurements are obtained on a single phase load $V=220 V \pm 1$%, $I=5.0 A \pm 1$% and $W=555 W \pm 2$%. If the power factor is calculated using these meas...

Which of the following logic circuits is a realization of the function $F$ whose Karnaugh map is shown in figure:

The figure shows the circuit diagram of a rectifier. The load consists of a resistance $10Ω$ and an inductance $0.05H$ connected in series. Assuming ideal thyristor and i...

Two resistors with nominal resistance values $R_{1}$ and $R_{2}$ have additive uncertainties $\bigtriangleup R_{1}$ and $\bigtriangleup R_{2}$, respectively. When these r...

A single-phase $100$ kVA, $1000$ V / $100$ V, $50$ Hz transformer has a voltage has a voltage drop of $5 \%$ across its series impedance at full load. Of this, $3\%$ is d...

If the primary line voltage rating is $3.3$kV (Y side) of a $25$kVA, $Y-\Delta$ transformer (the per phase turns ratio is $5:1$), then the line current rating of the seco...

A three-winding transformer is connected to an $AC$ voltage source as shown in the figure. The number of turns are as follows: $N_{1} = 100, N_{2} = 50, N_{3} = 50$. If t...

For the network given in the figure below, the Thevenin's voltage $V_{ab}$ is$-1.5$V$-0.5$V$0.5$V$1.5$V

For the network shown, the equivalent Thevenin voltage and Thevenin impedance as seen across terminals ‘$\text{ab}$’ is$\text{10 V}$ in series with $12\:\Omega$$\text{65 ...

The circuit shown in the figure has two sources connected in series. The instantaneous voltage of the $AC$ source (in Volt) is given by $v(t) = 12 \sin t$. If the circuit...

An ideal sinusoidal voltage source $v(t)=230 \sqrt{2} \sin (2 \pi \times 50 t) \: V$ feeds an ideal inductor $L$ through an ideal SCR with firing angle $\alpha=0^{\circ}$...

The voltage at the input of an $\text{AC-DC}$ rectifier is given by $v\left ( t \right ) = 230 \sqrt{2} \sin \omega t$ where $\omega = 2\pi \times 50$ rad/s. The input cu...

A benchtop dc power supply acts as an ideal $4 \: A$ current source as long as its terminal voltage is below $10 \: V$. Beyond this point, it begins to behave as an ideal...

In the circuit shown in the figure, the diode used is ideal. The input power factor is ________. (Give the answer up to two decimal places).

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...

A $1\;\mu C$ point charge is held at the origin of a cartesian coordinate system. If a second point charge of $10\;\mu C$ is moved from $\left ( 0,10,0 \right )$ to $\lef...

An air-core radio-frequency transformer as shown has a primary winding and a secondary winding. The mutual inductance $M$ between the windings of the transformer is _____...

The equivalent circuit of a single phase induction motor is shown in the figure, where the parameters are $R_1 =R_2=X_{l1}=X_{l2} = 12 \Omega$, $X_M=240 \: \Omega$ and $S...

In the circuit shown below, the node voltage $V_{A}$ is ___________ $V$.