# Physics 2: Electric Potential

Find the total potential energy this set of point charges contains.

An electron is accelerated from rest through a potential difference of 1800 V. What is its speed?

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 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)

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?

The capacitor below has a potential difference of 1010 V before an insulator is placed inside. The insulator placed inside has a diaelectric constant of k = 3.5. Find the electric potential difference across the capacitor with the insulator inside.

A circuit has 3 capacitors in series, A = 5 $\mu$F, B = 10 $\mu$F, C = 20 $\mu$F, with a 10 V battery. Find the potential difference across each individual capacitor.

A circuit has 2 capacitors in parallel, A = 20 $\mu$F, B = 10 $\mu$F, with a 10 V battery. Find the potential difference across each capacitor, and the charge of each capacitor.