Consider a solid conducting sphere having a charge of +q and a radius a. It is i

Question

Consider a solid conducting sphere having a charge of +q and a radius a. It is inside of a concentric conducting sphere of inner radius b and outer radius c which carries no net charge. Using Gauss' law, find expressions for the electric field in the regions r ge c, b le r le c, a le r le b, and r le a. Be sure to include a sketch of the spheres showing the geometry of the problem. Find an expression for the electrical potential in each of these same regions. Be sure to take V=0 at an infinite distance from the conducting sphere. Sketch a plot of the potential as a function of r from r=0 to r Gt c.

Explanation / Answer

Gauss' law is also known as Gauss flux theorem. It is a law relating to the distribution of electric charge to the resulting electric field.This law is formulated by Carl Friedrich Gauss.It is used to derive Coulombs law.

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