# GATE Questions & Answers of Resonance

## What is the Weightage of Resonance in GATE Exam?

Total 7 Questions have been asked from Resonance topic of Electric Circuits subject in previous GATE papers. Average marks 1.86.

In the circuit shown below, the supply voltage is $10\mathrm{sin}\left(1000t\right)$ volts. The peak value of the steady state current through the 1 Ω resistor, in amperes, ##### Show Answer

The circuit below is excited by a sinusoidal source. The value of R, in Ω, for which the admittance of the circuit becomes a pure conductance at all frequencies is _____________. ##### Show Answer

In the balanced 3-phase, 50 Hz, circuit shown below, the value of inductance (L) is 10 mH. The value of the capacitance (C) for which all the line currents are zero, in millifarads, is ___________. ##### Show Answer

An inductor is connected in parallel with a capacitor as shown in the figure. As the frequency of current i is increased, the impedance (Z) of the network varies as

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A series RLC circuit is observed at two frequencies. At ω1=1 krad/s, we note that source voltage ${V}_{1}=100\angle {0}^{o}V$ results in a current ${I}_{1}=0.03\angle {31}^{o}A$. At ${\omega }_{2}=2$ krad/s, the source voltage ${V}_{2}=100\angle {0}^{o}V$ results in a current ${I}_{1}=2\angle {31}^{o}A$. The closest values for R,L,C out of the following options are

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The resonant frequency for the given circuit will be ##### Show Answer

The R-L-C series circuit shown in figure is supplied from a variable frequency voltage source. The admittance - locus of the R-L-C network at terminals AB for increasing frequency $\omega$ is (A) (B) (C) (D) 