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For the network shown (see figure) across 220 V, the effective current I at very high frequencies is ______ A.

Asked in JEE Main 26th July 1st Shift 2022 · Reactance and frequency

Figure: Reactance and frequency
Answer: 44

Step-by-step solution

At very high frequency each capacitor behaves as a short circuit (X_C→0) and each inductor as an open circuit (X_L→∞).

Only the resistive paths through the shorted capacitors carry current; reducing the network gives an effective resistance of 5 Ω.

I=(220)/5=44 A.

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