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

Given:


Rms value of voltage(Vrms) = 100 V


Rms value of current(irms) = 10 A


Formula used:


The average power is given by, where Vrms = rms value of voltage, irms = rms value of current, = phase difference between current and voltage.


Substituting the given values, we get


Now, cos can have any value between 0 to 1. (since can have any value between )


Therefore, the range of values for P is:


0 ≤ P ≤ 1000 W.


Therefore, the power can be less than 1000 W, or may be equal to 1000 W. Hence, options (B) and (D) are correct. (Ans)


Options (A) and (C) are incorrect since P can have any value between 0 and 1000 W, and can never be greater than 1000 W.

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