A 100 Ω resistance and a capacitor of 100 Ω reactance are connected… | NEET 2016 (Phase 2)

Q62NEET 2016 · PHASE 2Difficult

Pure R, L and C Circuits

A 100 $\Omega$ resistance and a capacitor of 100 $\Omega$ reactance are connected in series across a 220 V source. When the capacitor is 50% charged, the peak value of the displacement current is

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Answer: (a)

Displacement current in the capacitor equals the conduction current in the circuit at every instant, so the charge state does not matter.
$Z = \sqrt{R^2 + X_C^2} = \sqrt{100^2 + 100^2} = 100\sqrt{2}\ \Omega$
Taking 220 V as rms: $V_0 = 220\sqrt{2}$ V, so $I_0 = \frac{220\sqrt{2}}{100\sqrt{2}} = 2.2$ A.
So the answer is (a) 2.2 A.

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Pure R, L and C Circuits question from NEET 2016 (Phase 2)

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