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Two charges are on the z-axis, charge +q at z = +a and −q at z...

Two charges are on the z-axis, charge +q at z = +a and −q at z = −a. (Hint: This is NOT a continuous charge distribution but two discrete point charges.)

(a) Find the electric potential V (x, y, z) at a field point r = (x, y, z).

(b) Find the potential V (x, y, 0) at a point (x, y, 0) on the xy-plane.

(c) What is the total electrostatic energy of this system?

(d) Using the result of part (c), find out how much work it takes to move the charges closer so that their separation is a rather than 2a.

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