Question

In some region of space, the electric field is given by E = Axi + By2j. Find the electric potential difference between points whose positions are (xi, yi) = (a, 0) and (xf, yf) = (0, b). The constants A, B, a, and b have the appropriate SI units. (Use the following as necessary: A, B, a, and b.)

Answer 1

Step-by-step explanation:

- dV / dr = E

- dV = E dr

dV = - E dr

V = - ∫E. dr

= -∫(Axi + By2j)idx+dyj)

- -∫ Axdx --∫ B y² dy

= - A x² /2 - B y³ / 3

Limit is from 0 to a for x and from b to 0 for y.

= A a² / 2 - B x b³/3 Answer