GATE EE 2016 Set 1 — Question 62
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Electric Circuits → Transient & AC Steady-State → Sinusoidal Steady-State
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Question
In the circuit shown below, the supply voltage is volts. The peak value of the steady state current through the resistor, in amperes, is _______.
Correct answer
1 to 1
Solution
The supply is V, so rad/s and the peak supply voltage is V.1. The tankThe inductive and capacitive reactances are equal, so this parallel combination is at (anti-)resonance and its impedance is infinite: the branch behaves as an open circuit.2. The tankAgain the reactances are equal, so this parallel combination is also at resonance and acts as an open circuit.3. Reduced circuitIn the given network the tank is connected across the pair and the tank is connected across the pair. Both of these bypass paths are open at rad/s, so the only path left for the source current is the series chain4. Current through the resistorThe whole source current flows through the resistor, soAnswer:
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