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Question

In an a.c. circuit $$V$$ and $$I$$ are given by $$V=100sin(100t)volts$$ and $$I=100sin(100t+\pi/3)mA$$. The power dissipated in the circuit is


A
104 watt
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B
10 watt
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C
2.5 watt
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D
5.0 watt
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Solution

The correct option is D $$2.5$$ watt
$$P={V}_{r.m.s}\times {I}_{r.m.s}\times \cos { \phi  } $$
    $$=\cfrac{1}{2}\times 100\times (100\times {10}^{-3})\cos { \pi/3  } =2.5W$$

Physics

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