AC Applied to a Resistor

A 100Ω resi...

Question

A $100 Ω$ resistor is connected to a $220 V, 50 H z$ AC supply. Find rms value of current in the circuit and the net power consumed for a complete cycle.

2.20 A, 484 W

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3.20 A, 564 W

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1.60 A, 278 W

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5.80 A, 646 W

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Solution

The correct option is A $2.20 A, 484 W$
GIven: $V_{r m s} = 220 V$
$∴ i_{r m s} = \frac{V_{r m s}}{R} = \frac{220 V}{100 Ω} = 2.20 A$
The power consumed for a complete cycle is:
$P = (i_{r m s})^{2} R = (2.20 A)^{2} \times 100 Ω = 484 W$

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