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

A
Must be 1000 W
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B
May be 1000 W
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C
May be greater than 1000 W
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D
May be less than 1000 W
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Solution

## The correct options are B May be 1000 W D May be less than 1000 WWe know that average power is given by Pavg=VrmsIrmscos ϕ Given that Vrms=100 V and Irms=10 A Now we know cosϕ ranges from −1 to 1 But considering only the magnitude we can say maximum value of cosϕ=1 minimum value of cosϕ=0 So it can have average power upto 1000 W So only option (b) and (d) are correct

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