List of top Electric circuits Questions asked in GATE EE

A balanced Wheatstone bridge ABCD has the following arm resistances:
$R_{AB} = 1 \text{k}\Omega \pm 2.1% ; R_{BC} = 100 \Omega \pm 0.5% ; R_{CD}$ is an unknown resistance; $R_{DA} = 300 \Omega \pm 0.4%$. The value of $R_{CD}$ and its accuracy is

In the circuit shown below, the magnitude of the voltage $ V_1 $ in volts across the 8 kΩ resistor is ________. (round off to nearest integer)

An inductor having a Q-factor of 60 is connected in series with a capacitor having a Q-factor of 240. The overall Q-factor of the circuit is ________. (round off to nearest integer)

The network shown below has a resonant frequency of 150 kHz and a bandwidth of 600 Hz. The Q-factor of the network is _________. (round off to nearest integer)

In the circuit shown below, the switch S is closed at $ t = 0 $. The magnitude of the steady state voltage, in volts, across the 6 Ω resistor is ________. (round off to two decimal places)

An air-core RF transformer has a primary and secondary winding. At 100 kHz, the primary sees 7.3 V$_{p-p}$ and the secondary sees 5.0 V$_{p-p}$. The load is 22$\Omega$. The mutual inductance $M$ is $\underline{\hspace{1cm}}$ $\mu H$. (Round off to 2 decimal places.)

A 100 Hz square wave (0–5 V) is applied to a CR high-pass filter. The resistor voltage waveform has 6.2 V peak-to-peak. If $R = 820\Omega$, the value of $C$ is $\underline{\hspace{1cm}}$ $\mu F$. (Round off to 2 decimal places.)

For the network shown, the equivalent Thevenin voltage and Thevenin impedance as seen across terminals 'ab' is

In the given circuit, for maximum power to be delivered to $R_L$, its value should be $\underline{\hspace{1cm}}$ $\Omega$. (Round off to 2 decimal places.)

A three-phase balanced voltage is applied to the load shown. The phase sequence is RYB. The ratio $\left|\frac{I_B}{I_R}\right|$ is $\underline{\hspace{1cm}}$.

Find the input impedance $Z_{in}(s)$ of the coupled-inductor network shown.

In the circuit, switch S is closed for a long time and opened at $t=0$. Find $i_L(t)$ for $t \ge 0$.

In the given circuit, for voltage $V_y$ to be zero, the value of $\beta$ should be $\underline{\hspace{1cm}}$. (Round off to 2 decimal places).

In the given circuit, the value of capacitor $C$ that makes current $I = 0$ is $\underline{\hspace{1cm}}$ $\mu\text{F}$.

A signal generator having a source resistance of 50$\Omega$ is set to generate a 1 kHz sinewave. Open circuit terminal voltage is 10 V peak-to-peak. Connecting a capacitor across the terminals reduces the voltage to 8 V peak-to-peak. The value of this capacitor is $\underline{\hspace{1cm}}$ $\mu\text{F}$. (Round off to 2 decimal places.)

Two single-core power cables have conductor resistances 0.7$\Omega$ and 0.5$\Omega$, and insulation resistances 600 M$\Omega$ and 900 M$\Omega$. When joined in series, the ratio of insulation resistance to conductor resistance is $\underline{\hspace{1cm}}$ $\times 10^{6}$.