List of top Electrical and Electronic Measurements Questions asked in GATE Electrical Engineering

Consider the stable closed-loop system shown in the figure. The asymptotic Bode magnitude plot of \( G(s) \) has a constant slope of \( -20 \, \text{dB/decade} \) at least till \( 100 \, \text{rad/sec} \) with the gain crossover frequency being \( 10 \, \text{rad/sec} \). The asymptotic Bode phase plot remains constant at \( -90^\circ \) at least till \( \omega = 10 \, \text{rad/sec} \). The steady-state error of the closed-loop system for a unit ramp input is (rounded off to 2 decimal places).
\includegraphics[width=0.5\linewidth]{58.png}

Consider the stable closed-loop system shown in the figure. The magnitude and phase values of the frequency response of \( G(s) \) are given in the table. The value of the gain \( K_I (> 0) \) for a \( 50^\circ \) phase margin is (rounded off to 2 decimal places).
\begin{tabular}{|c|c|c|} \hline $\omega$ in rad/sec & Magnitude in dB & Phase in degrees
\hline 0.5 & -7 & -40
\hline 1.0 & -10 & -80
\hline 2.0 & -18 & -130
\hline 10.0 & -40 & -200
\hline \end{tabular}
\includegraphics[width=0.5\linewidth]{59.png}

In the given circuit, the diodes are ideal. The current \( I \) through the diode \( D_1 \) in milliamperes is (rounded off to two decimal places).
\includegraphics[width=0.5\linewidth]{60.png}

A difference amplifier is shown in the figure. Assume the op-amp to be ideal. The CMRR (in dB) of the difference amplifier is (rounded off to 2 decimal places).
\includegraphics[width=0.5\linewidth]{61.png}

The single line diagram of a lossless system is shown in the figure. The system is operating in steady-state at a stable equilibrium point with the power output of the generator being \( P_{max} \sin \delta \), where \( \delta \) is the load angle and the mechanical power input is \( 0.5 P_{max} \). A fault occurs on line 2 such that the power output of the generator is less than \( 0.5 P_{max} \) during the fault. After the fault is cleared by opening line 2, the power output of the generator is \( \frac{P_{max}}{\sqrt{2}} \sin \delta \). If the critical fault clearing angle is \( \pi/2 \) radians, the accelerating area on the power angle curve is \_\_\_ times \( P_{max} \) (rounded off to 2 decimal places).
\includegraphics[width=0.5\linewidth]{56.png}

For the three-bus lossless power network shown in the figure, the voltage magnitudes at all the buses are equal to 1 per unit (pu), and the differences of the voltage phase angles are very small. The line reactances are marked in the figure, where $\alpha$, $\beta$, $\gamma$, and $x$ are strictly positive. The bus injections $P_1$ and $P_2$ are in pu. If $P_1 = mP_2$, where $m>0$ and the real power flow from bus 1 to bus 2 is 0 pu, then which one of the following options is correct?
\includegraphics[width=0.5\linewidth]{41.png}

A forced commutated thyristorized step-down chopper is shown. Neglect the ON-state drop across power devices. Assume that the capacitor is initially charged to 50 V with the polarity shown in the figure. The load current \(I_l\) can be assumed to be constant at 10 A. Initially, \(Th_M\) is ON and \(ThA\) is OFFThe turn-off time available to \( T_{H4} \) in microseconds, when \( T_{H4} \) is triggered, is \_\_\_\_\_ (rounded off to the nearest integer).
\includegraphics[width=0.5\linewidth]{35.png}

The table lists two instrument transformers and their features:
\begin{tabular}{|l|l|} \hline Instrument Transformers & Features
\hline X) Current Transformer (CT) & P) Primary is connected in parallel to the grid
& Q) Open circuited secondary is not desirable
& R) Primary current is the line current
\hline Y) Potential Transformer (PT) & S) Secondary burden affects the primary current
\hline \end{tabular}
Which matches are correct?

All the elements in the circuit are ideal. The power delivered by the 10 V source in watts is:
\includegraphics[width=0.5\linewidth]{13.png}