A current is made of two components: a 5 amp D.C. component and a 60 cycle A.C. sinusoidal component of peak value 4 amp. Write down an expression for the resultant current and calculate the average current over a complete cycle and effective value of the current.
Text Solution
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Sol. Given:
DC component 
A
AC component 
sinusoidal with peak value 4 A, frequency 60 Hz
Expression for current
Let AC part be: 
Total current: 
Average current over full cycle
Average of sine over full cycle 
So, 
RMS (effective) value
DC and AC RMS combine as:
AC RMS: 
Now: 
Final Answers:
Average current 
Effective (RMS) current 
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