Question

the instantaneous current and voltage of an ac circuit are given by:
i=10 sin 300t A and v= 200 sin 300t volt.
what is the power dissipation in the circuit.
plz xplain the calculations.

Answer 1

The power dissipation in the circuit is 1000 W.

Explanation:

The instantaneous current ad voltage of an AC circuit are given.

• I = 10 sin 300 t A

• V = 200 sin 300 t volt

The average power loss over a cycle is given by.

P = V / CosΘ

Where V and I are the rms value of voltage and current.

Here phase difference Φ = 0°

The average power loss over a complete cycle

P = 10 / √2 x 200 /√2 x cos0°

P = 1000 W

Hence the power dissipation in the circuit is 1000 W.

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