Question

# An AC source rated 100 V (rms) supplies a current of 10 A (rms) to a circuit. The average power delivered by the source is

A
may be 1000 W
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B
may be less than 1000 W
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C
Both options (A) and (B)
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D
may be greater than 1000 W
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Solution

## The correct option is C Both options (A) and (B)The average power delivered by the source is given by: Pavg=VrmsIrmscos ϕ Where cosϕ is the power factor of the circuit. Given, Vrms=100 V and Irms=10 A ⇒Pavg=100×10cosϕ=1000cosϕ The value of cosϕ lies between [−1, 1]. Therefore, power delivered by the source would be either equal to 1000 W or less than 1000 W depending on the elements connected in the circuit. Hence, option (C) is the correct answer.

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