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# Why I avg. (Current average) multiplied by Vavg (voltage average) and Time period does not give me heat loss in full cycle ?As I know I avg gives me dc component for ac ,I can take + I avg & -I avg for for +half cycle and -half cycle respectively,then net current will be zero in full cycle but both the current are responsible for heat production in ac so why can'take and do I avg ×v avg×T= Heat produced in ac current .(I know that vrms ×Irms×T will give me heat loss )But my quetion it is why it is wrong which I had first .thank you

Asked by Jaydeepkalal2003 16th August 2021, 9:32 PM
Alternating voltage is assumed to be sinusoidal waveform of period T .

Since waveform repeats after every time period T , we need to average the voltage variation for a time period T

Let V = Vm sin(ωt)

If we average over a time period T , then we have

Hence average square of instantaneous voltage is detrmined and square-root of this average is considered
as RMS ( Root-mean-square ) value of voltage

Similarly RMS current over time period T of full cycle is determined .
Product of RMS voltage and RMS current gives average power

If average power is multiplied by time t , we get heat energy generated for time t .

Basically, answer to your question is averaging has to be done for full cycle , not for half cycle,
because waveform repeats after every full cycle.
Answered by Expert 16th August 2021, 10:18 PM
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