In an a.c. circuit, the instantaneous e.m.f. and current are given by e = 100 sin 30 t i = 20 sin $\left( {30t - {\pi \over 4}} \right)$ In one cycle of a.c., the average power consumed by the circuit and the wattless current are, respectively

Question

In an a.c. circuit, the instantaneous e.m.f. and current are given by
e = 100 sin 30 t
i = 20 sin $\left( {30t - {\pi \over 4}} \right)$
In one cycle of a.c., the average power consumed by the circuit and the wattless current are, respectively

50, 0

50, 10

${{1000} \over {\sqrt 2 }},10$

${{50} \over {\sqrt 2 }}$

Solution

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