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Question

In an a.c. circuit, the instantaneous e.m.f. and current are given by e=100sin30t, i=20sin(30tπ4). In one cycle of a.c., the average power consumed by the circuit and the wattles current are, respectively.
  1. 502,0
  2. 50,0
  3. 50,10
  4. 10002,10

A
50,10
B
502,0
C
50,0
D
10002,10
Solution
Verified by Toppr

The correct option is D 10002,10
Pavg=VrmsIrmscosθ

=(Vo2)(Io2)cosθ

=(1002)(202)cos45

=10002watt

Wattless current = Irmssinθ

= Io2sinθ

= 202sin45

= 10amp

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