The sketch shows cross sections of equipotential surfaces between two charged co

Question

The sketch shows cross sections of equipotential surfaces between two charged conductors shown in solid black. Points on the equipotential surfaces near the conductors are labeled A, B, C, ..., H.

(a) What is the magnitude of the potential difference between points A and G?

(b) What is the change of electrical potential energy of a proton as it moves from point A to point G? (proton mass = 1.67X10^-27 kg, proton charge = 1.6X10^-19 C)

(c) If the proton starts from rest and the only force acting on it is the electric force, find its velocity when it reaches point G.

(d) What is the change in the electrical potential energy of a proton as it moves from point D to point F?

Explanation / Answer

(a)

the potential difference between points A and G is

del V = VA- VB = 200 V - ( -400 V) = 600 V

(b)

del U = q del V

= 1.6* 10^-19 ( 600 V )= 9.6 * 10^-17 J

(c)

1/2 mv^2 = q del V

v= sqrt 2q del V/ m

= sqrt 2 ( 1.6 * 10^-19) ( 600 V)/1.67 * 10^-27)

=33.9 * 10^4 m/s

(d)

del V = VD- VF = 0

del U = q del V = 1.6 * 10^-19 ( 0) = 0 J

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