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

50,0

50,10

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

$\frac{50}{\sqrt{2}}, 0$

Solution

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

$P_{a v g} = V_{r m s} I_{r m s} \cos θ = (\frac{V_{0}}{\sqrt{2}}) (\frac{I_{0}}{\sqrt{2}}) \cos θ = (\frac{100}{\sqrt{2}}) (\frac{20}{\sqrt{2}}) \cos 45^{o} = \frac{1000}{\sqrt{2}} w a t t W a t t l e s s c u r r e n t = I_{r m s} \sin θ = \frac{I_{0}}{\sqrt{2}} \sin θ = \frac{20}{\sqrt{2}} \sin 45^{0} = 10 a m p$

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Current Electricity

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

50,0

50,10

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

$\frac{50}{\sqrt{2}}, 0$

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Current Electricity

In an a.c. circuit, the instantaneous e.m.f. and current are given bye = 100 sin 30 ti = 20 sin 30 t -π4In one cycle of a.c., the average power consumed by the circuit and the wattless current are, respectively 50,0 50,10 10002, 10 502,0

Some More Questions From Current Electricity Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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

50,0

50,10

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

$\frac{50}{\sqrt{2}}, 0$