An e.m.f. E = 150 cos 314t volts is applied to a purely resistive branch having R= 30 ohms. Find out expressions for current and power as a function of time. Also calculate the frequencies of current and power variations.
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Sol. Given:

Current as a function of time
For a purely resistive circuit: 

Current: 
Power as a function of time


Using identity: 


Power: 
Frequencies
Given: 
Current frequency 
Power frequency 
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