Please wait...
Contact Us
Contact
Need assistance? Contact us on below numbers

For Study plan details

10:00 AM to 7:00 PM IST all days.

For Franchisee Enquiry

OR

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

9321924448

Mon to Sat - 10 AM to 7 PM

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
Answered by Expert
Answer:
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 
 
begin mathsize 14px style V with bar on top space equals space 1 over T integral subscript 0 superscript T V subscript m space sin left parenthesis space omega t space right parenthesis space d t space equals space 0 end style
Hence average square of instantaneous voltage is detrmined and square-root of this average is considered
as RMS ( Root-mean-square ) value of voltage
 
begin mathsize 14px style V subscript r m s end subscript space equals space square root of 1 over T integral subscript o superscript T V subscript o superscript 2 sin squared left parenthesis omega t right parenthesis d t end root space equals space fraction numerator V subscript o over denominator square root of 2 end fraction end style
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
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Free related questions

29th April 2020, 4:12 PM
30th April 2020, 5:53 PM

Chat with us on WhatsApp