When an alternating voltage of is applied across a device

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

When an alternating voltage of 220 V220\,\text{V} is applied across a device PP, a current of 0.25 A0.25\,\text{A} flows through the circuit and leads the applied voltage by an angle π2\frac{\pi}{2} radians. When the same voltage source is connected across another device QQ, the same current is observed in phase with the applied voltage. What is the current when the same source is connected across a series combination of PP and QQ? (a) 142 A\frac{1}{4\sqrt{2}}\,\text{A} lagging in phase by π4\frac{\pi}{4} with voltage (b) 142 A\frac{1}{4\sqrt{2}}\,\text{A} leading in phase by π4\frac{\pi}{4} with voltage (c) 12 A\frac{1}{\sqrt{2}}\,\text{A} leading in phase by π4\frac{\pi}{4} with voltage (d) 142 A\frac{1}{4\sqrt{2}}\,\text{A} leading in phase by π2\frac{\pi}{2} with voltage

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