GATE EC 2017 Set 2 — Question 5
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Network Theory → Transient & AC Analysis → Resonance in RLC Circuits
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Question
In the circuit shown, is a sinusoidal voltage source. The current is in phase with voltage . The ratio is ________.
Correct answer
0.19 to 0.21
Solution
In a series RLC circuit, the current is in phase with the source voltage when the circuit is at resonance.
The resonance condition is given by:
Given:
Calculating the resonance frequency:
The amplitude of the voltage across the capacitor is:
The amplitude of the voltage across the resistor is:
The required ratio is:
The resonance condition is given by:
Given:
Calculating the resonance frequency:
The amplitude of the voltage across the capacitor is:
The amplitude of the voltage across the resistor is:
The required ratio is:
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