- #1

- 160

- 0

**electric field as a function -- potential**

## Homework Statement

assume that the electric field in space is given by E = E_o*e^(-r/R) where r is the radial distance away from the origin and E_o and R are constants. E points away fro the origin. Calculate the electric potential at any point r if zero potential is taken at r = +infinity.

i should get electric potential V(r) = E_o*R*e^(-r/R)

## Homework Equations

point charge electric potential V = V(r) = kq/r where k is constant = 9*10^9, q is charge, r is distance

electric potential difference deltaV_AB = V_B =V_A = - [<integral>E*dr] from r_A to r_B

## The Attempt at a Solution

what does it mean that E points away from the origin, how does knowing that affect the problem?

what is the integral of the E function, how integrate the e^(-r/R) portion specifically?

if i let r = infinity, then in the E function then e^(-infinity) = 0, so the function goes to zero

any tips on how to get started appreciated...