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 - π 4 . In one cycle of A.C. , the average power consumed by the circuit (in watt) and the watt-less current (in ampere) are, res

Question

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 - &#960; 4 . In one cycle of A.C. , the average power consumed by the circuit (in watt) and the watt-less current (in ampere) are, respectively:

Quantrex Academy · Accepted Answer

Correct answer: C. 1000 2 , 10

Instantaneous emf and current is given by, E = 100 sin 30 t , I = 20 sin 30 t - &#960; 4 . Phase difference between emf and current is &#981; = 30 t - 30 t - &#960; 4 = &#960; 4 Average power is given by, P av = E rms I rms cos&#981; = 100 2 &#215; 20 2 &#215; 1 2 = 1000 2 Watt-less current is given by, I WL = I rms sin&#981; = I o &#8730; 2 sin 45 &#176; &#8658; I WL = 20 2 . 1 2 = 10 &#160; A .

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 - π 4 . In one cycle of A.C. , the average power consumed by the circuit (in watt) and the watt-less current (in ampere) are, respectively:

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Step-by-step solution

More from Alternating Current

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 - &#960; 4 . In one cycle of A.C. , the average power consumed by the circuit (in watt) and the watt-less current (in ampere) are, respectively:

Options

Correct answer

Step-by-step solution

More from Alternating Current

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 - π 4 . In one cycle of A.C. , the average power consumed by the circuit (in watt) and the watt-less current (in ampere) are, respectively: