Question

derive an expression for electric potential due to a point charge ?

Answer 1

Answer:  

The ‘electric potential’ due to a point charge is kq/r.

Solution:

Let us consider q’ be the point charge placed at a distance r from the charge q.

By coulomb law, the force exerted on the point charge due to the positive charge q is

$F=k \frac{q q^{\prime}}{r^{2}} \rightarrow(1)$

The electric potential is defined as the work done to bring a point charge to a particular position.

$V=\frac{W}{q^{\prime}} \rightarrow(2)$

The work done can be determined by

$W=-\int_{\infty}^{r} F . d r=-\int_{\infty}^{r} k \frac{q q^{\prime}}{r^{2}} d r$

$W=-k q q^{\prime}\left[-\frac{1}{r}\right]_{\infty}^{r}=\frac{k q q^{\prime}}{r}$

Thus the ‘electric potential’ will be

$V=\frac{\frac{k q q^{\prime}}{r}}{q^{\prime}}=\frac{k q}{r}$

The electric potential for a point charge is kq/r.

Answer 2

Answer:

this is the answer

i hope it will helpful for you