110 volts (rms) is applied across a series circuit having resistance 11Ω and impedance 22Ω . The power consumed is

Question

TestHub · Accepted Answer

To find the power consumed, we use the formula $P = V_{r m s} I_{r m s} cos ϕ$ .

First, calculate the current

$I_{r m s} = V_{r m s} / Z = 110 V /22Ω = 5 A$ .

Next, find the power factor

$cos ϕ = R / Z = 11Ω/22Ω = 0.5$ .

Finally, $P = (110 V) (5 A) (0.5) = 275 W$ .

The final answer is $275 W$ .

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