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The maximum values of the alternating vo...

The maximum values of the alternating voltages and current are `400 V` and `20 A` respectively in a circuit connected to `50 Hz` supply and these quantities are sinusoidal. The instantaneous values of the voltage and current are `200sqrt2V` and `10 A`, respectively. At `t = 0`, both are increasing positively.
(a) Write down the expression for voltage and current at time `t`.
(b) Determine the power consumed in the circuit.

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