Is the potential difference independent of its path

use the idea that potential difference is independent of path to criticize the following statement: "It is possible to arrange a collection of charges in such a way that the electric field along a circular path looks like this:"

Polarization

Imagine that you have two identical neutral metal spheres on insulating stands and a charged rubber rod. Using diagrams, carefully describe a step by step process that uses the rod to give the two spheres exactly opposite charges (all without touching either sphere with rod). Take care to construct the procedure so that it ensures that the charges on each sphere will be exactly equal in magnitude, not just approximately

Coaxial Cable

The electric field outside a uniformly charged, infinite cylindrical conductor is the same as if the cylinder's charge were concentrated in a thin wire along the cylinders axis. Moreover, the potential inside a uniformly charged infinite cylindrical pipe like that inside a spherical shell is constant. These statements are approximately true for finite cylinders and pipes as long as their length is much larger than their radius. Use these facts to calculate the capacitance of the coaxial cable arrangement.

Capacitance

The electric field between two parallel plates with opposite, uniformly distributed charges is (as long as the plates are very large compared to their separation d) nearly uniform and has magnitude (see attachment). Use this result to verify the equation:

Physics

Draw a phasor diagram and find the maximum value