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If frequency of EMF in an ac circuit is n then Power varies with frequency 2n.. how??

If frequency of EMF in an ac circuit is n then Power varies with frequency 2n.. how??

Grade:12

1 Answers

Arun
25750 Points
6 years ago
The average power in AC circuit is given by
 
Pavg = VI cos φ
 
where 
V = vo sin wt 
I =  io sin wt   
Therefore,
P = vo  io  sin2 wt cosφ
P = vo  io  sin2 (2 π f t) cosφ  ... as w = 2πf
Now substituting the value of  frequency f=n as given,
the relationship changes to
P = vo  io  sin2 (2 π n t) cosφ

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