# Electrostatic Potential

A sphere carries a charge of +2 nC. Point A is X = 0.02 m to the direct right of the sphere, and point B is Y = 0.06 m to the right of the sphere. Find the electrostatic potential difference from A to B. (the solution involves calculus)

## Related Problems

Points A and B are in a region of uniform electric field, $\vec{E}$ = < 65, 0 > N/C. Point A is at < -0.1, 0 > and Point B is at < 0.7, 0 >. Find the electron potential difference between point A and B.

Points A and B are in a region of uniform electric field, $\vec{E}$ = < -85, 25 > N/C. Point A is at < -0.5, 0 > and Point B is at < 0.7, 0 >. Find the electron potential difference between point A and B.

A very long thin wire carries a line charge density, $\lambda$ = 361.0 $\frac{nC}{m}$. Find the electric potential difference between points 3.0 m and 6.0 m on a perpendicular radius to the axis of the wire, provided the perpendicular radius is not near either end of the wire. (this problem requires calculus)

The figure below shows two capacitors. The capacitor on the left has a uniform electric field, $\vec{E}_1$ = < 535, 0 > N/C. The capacitor on the right has a uniform electric field, $\vec{E}_2$ = < -225, 0 > N/C. If we define the point directly between A and B to be the origin, then point A is at < -0.4 , 0 > and point B is at < 0.4, 0 >. Find the potential drop on the path from A to B. If a proton traveled from rest at point A to point B, what would be its kinetic energy at point B?