prove mathematically that the average value of alternating current over one complete cycle is zero
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Answer:
average current=
I avg = 1/T∫Idt [ taking limit 0 to T]
= 1/T∫Imsinωtdt
= Im/T∫sinωtdt
= Im/T[-cosωt/ω]
=Im/T[-cosωT+cos0]
=Im/T[-1+1]
=im/T[0]
= 0
Explanation:
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