Find Vavg and Vrms

bertus

Joined Apr 5, 2008
22,270
Hello,

You have the plain around the tex tags.
Using plain, nothing will be rendered.

This is the result without plain:

\({i = 20 * sin(wt)}\)

Bertus
 

jayanthd

Joined Jul 4, 2015
945
Have you read these ?

https://mechatrofice.com/circuits/rectifier-half-wave-full-wave

https://www.electronics-tutorials.ws/accircuits/average-voltage.html

https://electronicspani.com/rms-and...form-factor-of-half-wave-alternating-current/

Have you checked youtube videos regarding similar problems ?

In above they use V (voltage) for explanation but same applies for I (current)


In your equation

\({i = 20 * sin(wt)}\) \({= Im * sin(wt)}\)

i = instantaneous current.

Im = Imax = Ipk = 20.


Do you get

\({Iavg = 6.37 * sin(wt)}\) ?

\({Irms = Ieff = Imax/2}\)

So, do you get

\({Irms = Ieff = (20 / 2) * sin(wt) = 10 * sin(wt)}\) ?

\({Form factor = Irms / Iavg = (10 sin(wt)) / (6.37 * sin(wt)) = 1.569}\) ?

\({= (Imax/2)/(Imax/3.1415) = 3.1415/2 = 1.57 = ~ 1.569}\) ?

Check the calculations. These are for half-wave rectifier output.
 
Last edited:

Thread Starter

Sajan Gurung

Joined Dec 20, 2018
33
Have you read these ?

https://mechatrofice.com/circuits/rectifier-half-wave-full-wave

https://www.electronics-tutorials.ws/accircuits/average-voltage.html

https://electronicspani.com/rms-and...form-factor-of-half-wave-alternating-current/

Have you checked youtube videos regarding similar problems ?

In above they use V (voltage) for explanation but same applies for I (current)


In your equation

\({i = 20 * sin(wt)}\) \({= Im * sin(wt)}\)

i = instantaneous current.

Im = Imax = Ipk = 20.


Do you get

\({Iavg = 6.37 * sin(wt)}\) ?

\({Irms = Ieff = Imax/2}\)

So, do you get

\({Irms = Ieff = (20 / 2) * sin(wt) = 10 * sin(wt)}\) ?

\({Form factor = Irms / Iavg = (10 sin(wt)) / (6.37 * sin(wt)) = 1.569}\) ?

Check the calculations. These are for half-wave rectifier output.
Thanks, i got it,
Iavg=6.36
Irms=10
Form factor=1.57,
 
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