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what is electric potential due to an uniform infinitely charged electric sheet?

what is electric potential due to an uniform infinitely charged electric sheet?

Grade:

1 Answers

Rohan Kadkol
22 Points
4 years ago
Electric field is \frac{\sigma }{2\epsilon } where sigma is the charge per unit area of sheet.
 
Va=-\int_{\infty }^{r_{a}}E.dr=\frac{-\sigma }{2\epsilon }.(r_{a}-\infty )
 
Vb=-\int_{\infty }^{r_{b}}E.dr=\frac{-\sigma }{2\epsilon }.(r_{b}-\infty )
 
\Delta V = V_{b}-V_{a} = \frac{\sigma}{2\epsilon }.(r_{a}-r_{b})
Thus the potential difference bwtween 2 pts due to the infinite sheet of charge is delta V as above

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