A conductor is in shape of a spherical shell of inner radius R1 and outer radius

Question

A conductor is in shape of a spherical shell of inner radius R1 and outer radius R2. It carries a net charge Q. Prove that all of the charge must reside on the outer surface. (Do this by showing that if there is any charge q1 on the inner surface, the electric field will not be zero inside the conducting material.) Three identical capacitor, are connected so that their maximum effective capacitance is 15 mu F. Find the three other combinations possible using all three capacitors, and calculate the effective capacitance for each combination. Find all the different possible effective capacitances that can be obtained using a 1.0 , a 2.0-, and a 4.0- mu F capacitor in any combination that includes all three or any two capacitors. A 20-pF capacitor is charged to 3.0 kV and is then re

Explanation / Answer

We can connect the capacitors in the following ways: 1) Pick two of the capacitors and connect them in series (3 ways to do this). 2) Pick two of the capacitors and connect them in parallel (3 ways to do this). 3) Pick one of the arrangements from (2) and add the third capacitor in series (3 ways to do this). 4) Connect all three in series (1 way to do this). 5) Connect all three in parallel (1 way to do this). All in all, you should be performing eleven calculations.

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