GATE EC 2015 Set 3 — Question 40
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Network Theory → Transient & AC Analysis → Sinusoidal Steady-State
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Question
In the circuit shown, the current flowing through the resistor will be zero if the value of capacitor (in ) is ______.
Correct answer
20 to 20
Solution
For the current through the resistor to be zero, the total impedance of the network connected to the source must be infinite at the operating frequency .
The network consists of a inductor in series with a parallel combination of a inductor and a series branch ( and ).
The impedance of the parallel part is .
For , the denominator must be zero:
.
The network consists of a inductor in series with a parallel combination of a inductor and a series branch ( and ).
The impedance of the parallel part is .
For , the denominator must be zero:
.
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