GATE EC 2017 Set 1 — Question 34
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Network Theory → Transient & AC Analysis → Sinusoidal Steady-State
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Question
The figure shows an RLC circuit excited by the sinusoidal voltage Volts, where is in seconds. The ratio is ________.
Correct answer
2.55 to 2.65
Solution
Given the excitation voltage , the angular frequency is .The impedances of the components are:
Let be the current flowing through the rightmost branch. Then:The ratio of the amplitudes is the ratio of the magnitudes of these phasors:
- Inductor:
- Resistor:
- Capacitor:
Let be the current flowing through the rightmost branch. Then:The ratio of the amplitudes is the ratio of the magnitudes of these phasors:
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