List of top Electrical Circuits and Machines Questions asked in GATE Instrumentation Engineering

Two inductors (4 H with current \(i_1(t)=1\sin(200\pi t)\,\text{mA}\) and 5 H with \(i_2(t)=2\sin(200\pi t)\,\text{mA}\)) are mutually coupled with coupling coefficient \(k=0.6\). Currents enter the dotted ends. Find the {peak} energy stored in the coupled system (in \(\mu\)J).

The R–L circuit with $R=10\,\text{k}\Omega$ and $L=1\,\text{mH}$ is excited by a step current $I_0u(t)$. At $t=0^-$, the inductor current is $i_L=I_0/5$. The minimum time for $i_L(t)$ to reach $99%$ of its final value is _____ $\mu$s (round off to two decimal places)

In the circuit shown, \(\omega=100\pi\ \text{rad/s}\), \(R_1=R_2=2.2~\Omega\), and \(L=7~\text{mH}\). The capacitance \(C\) for which \(Y_{\text{in}}\) is purely real is _____ mF (rounded to two decimal places).

The full-scale range of the wattmeter shown is 100 W. The turns ratios are as indicated. The RMS source voltage is $V_s=200$ V. The wattmeter reading will be _____ W (rounded off to the nearest integer).

The no-load steady-state output voltage of a DC shunt generator is 200 V when it is driven in the clockwise direction at its rated speed. If the same machine is driven at the rated speed but in the opposite direction, the steady-state output voltage will be ______ V (rounded off to the nearest integer).

In the circuit shown, the Thevenin equivalent resistance $R_{\text{th}}$ across the terminals ‘a’ and ‘b’ is ______ $\Omega$ (rounded off to one decimal place).

Pair the quantities (p) to (s) with the measuring devices (i) to (iv).

Which of the following flow meters offers the lowest resistance to the flow?

Inductance of a coil is measured as $10\,\text{mH}$ using an LCR meter at $10\,\text{kHz}$, when no objects are near the coil. If a pure copper sheet is brought near the coil, the same LCR meter will read _________.