Electromagnetic Induction and Alternating Current 6 Question 5

####5. In an AC circuit, the instantaneous emf and current are given by e=100sin30t,i=20sin30tπ4

In one cycle of AC, the average power consumed by the circuit and the wattless current are, respectively (2018 Main)

(a) 50,0

(b) 50,10

(c) 10002,10

(d) 502,0

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Answer:

Correct Answer: 5. (c)

Solution:

  1. P=ermsirmscosφ=e02i02cosφ

=e0i02cosφ=(100)(20)cosπ42=10002W

Wattless current =Irmssinφ=20212=10A



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