A point charge of +2 nC is at the origin and another one of +2nC is on the x axi

Question

A point charge of +2 nC is at the origin and another one of +2nC is on the x axis at x=4 cm. Find the potential on the x axis at (a) x=2 cm and at (b) x=6 cm. (c) Find the potential on the y axis at y = 3 cm. Work Exercise 9 for the case where the charge at the origin is -2 nC. Section 19-2 Electric Conductors; Section 19-3 Equipotential Surfaces, Charge Sharing, and Dielectric Breakdown A penny has a mass of 3 g and is made of copper of molar mass 63.5 g/mol. Assume one free electron for each copper atom, {a) How many free electrons are there in a penny? (b) How much free charge (in coulombs) is there? A solid spherical conductor has a radius of 16 cm and carries a net charge Q = 8.0 nC. Its center is at the origin, (a) Find the electric field everywhere in space, (b) Find the electric potential on the sphere, assuming V = 0 at infinity. A second, identical spherical conductor is brought up to the charged sphere in Exercise 12 (Q = 8.0 nC). It is touched to the first sphere and is then removed to a great distance

Explanation / Answer

Given mass of penny m = 3g molar mass of penny = 63.5 g / mol number of moles in 3g penny is                n = 3 g / 63.5 g/mol                   = 0.0472 mol number of atoms in the penny is            N = n A v where A v is avagadro number ( 6.02 *10 22 atoms )     a) number of free electrons in the penny is                 N = 0.0472 * 6.02*1022                      = 2.84144*1021 free electrons      b)    charge on free electrons             Q = (  2.84144*1021 )(1.6*10-19 C )                  =454.6304 C

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