Two thin half circular arcs form a circle of radius R. One semi-circle has charge -6Q while the other semi-circle has charge +2Q. What is the voltage at the center of the circle? +2Q -6Q

The figure shows equipotential curves for 30.0 V, 10.0 V, and −10.0 V. A proton follows the path shown in the figure.   If the proton's speed at point A is 81.0 km/s, what is its speed vB at point B?

Capacitors can be configured in a number of different geometries. Let's consider a capacitor formed by two coaxial cylinders with radii of 19.0 mm and 25.3 mm respectively and length 1.2 m. If the space between the cylinders is filled with air, find the capacitance of this configuration.

How much work does the battery do in moving 5 μ C from its low terminal to its high terminal?  Answer in μJ.   Diagram is attached.

Need help going through some of these problems. I just need a step by step process on how to do this.

A capacitance gauge consists of a 5mm diameter cylinder which is slid into a tube with an inner diameter of 6mm. Air (K = 1) separates the two surfaces. A capacitance value of 3.5pF is measured. How far into the tube has the cylinder slid? Express your answer in mm and round to two decimal places. 1.22

In a linear particle accelerator electrons are accelerated from rest to a speed of approximately the speed of light (3 x 108 m/s). If point A is the initial position of the electrons in the machine and point B is the position at which they reach their final speed, what is the electrical potential difference VA - VB in MV?

Determine the equivalent capacitance of if C1 = 600 mF and C2 = 800 mF are in series, and together they are in parallel with C3 = 1000 mF. Give the answer in mF.

A capacitor with capacitance C is connected to a power supply that maintains the voltage at some value Vo. This stores an energy of Uo in the capacitor. What is the energy Uo in terms of C and Vo? How much energy would be stored in the capacitor if the voltage were raised to 3Vo? Give your answer in terms of Uo.

Given that q=CV What happens to the capacitance C if the voltage drop V across the capacitor is doubled? Justify your answer.