Electron potential of spherical conductor.

Find the electron potential inside and outside of a spherical conductor of radius R = 15 cm carrying a charge Q = 10^-9 C. Evaluate your results for f = 5 cm and r = 20 cm, assuming V = 0 at infinity. Sketch the potential as a function of r. What is the capacitance of the conducting sphere?

Positive Charges

A positive charge of 10^-9 C is located at a point. What is the work one if a unit positive charge is carried around this charge along a complete circle of radius 0.1 m about this point?

Parallel plates

The plates of a parallel plate air capacitor are 1.2 nm apart and area of each plate is 20 x 10^-4 m^2. Find the capacitance. It is connected to a 40 V battery. (i) What is the charge on each plate? (ii) What is the energy stored in the capacitor? Repeat the calculations for the same capacitor with the air gap replaced by a medium of dielectric constant εr = 5.7.

Two positive charges of +0.2 µC and +0.01 µC are placed 10 cm apart. Calculate the work done in reducing their distance to 5 cm.

Two positive charges of +0.2 µC and +0.01 µC are placed 10 cm apart. Calculate the work done in reducing their distance to 5 cm.

Phasor Calculation

Please see the attached file for calculation of a phasor vector.