GATE EE 2016 Set 1 — Question 64
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Electric Circuits → Transient & AC Steady-State → Series & Parallel Resonance
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Question
The circuit below is excited by a sinusoidal source. The value of , in , for which the admittance of the circuit becomes a pure conductance at all frequencies is _____________.
Correct answer
14 to 14.2
Solution
The circuit consists of two parallel branches:
For the admittance to be a pure conductance at all frequencies, the imaginary part must be zero for all :
This condition is satisfied when .Given:
.
- Branch 1: Resistance in series with capacitance .
- Branch 2: Resistance in series with inductance .
For the admittance to be a pure conductance at all frequencies, the imaginary part must be zero for all :
This condition is satisfied when .Given:
.
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