Physics 2: Electric 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)

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)

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.