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JEE Main · 2022 · 26 Jun 2022 · Shift 1 · Alternating Current

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A source is connected in the circuit (as shown in figure). The current through the resistance , at resonance in the circuit, will be ____ A.

Answer: 0

Solution

At resonance in a parallel LC circuit, the inductive and capacitive currents are equal and opposite: . These currents cancel each other out in the main branch.

Since the inductor and capacitor are in parallel and at resonance , the impedance of the parallel LC combination becomes infinite: .

Therefore, the total circuit impedance is infinite, and the current through the resistor (and the entire circuit) is 0 A.

JEE Main · 2022 · 26 Jun 2022 · Shift 1 · Integer answer

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