A charge Q=-50.0 nC is located 0.30 m from point A and 0.50 m from point B. (a)

Question

A charge Q=-50.0 nC is located 0.30 m from point A and 0.50 m from point B. (a) What is the potential at A? (b) What is the potential at B? (c) If a point charge q is moved from A to B while Q is in place, through what potential difference does it move? Does its potential increase or decrease? (d) If q= -1.0 nC, what is the charge in electric potential energy as it moves from A to B? Does the potential energy increase or decrease? (e) How much work is done by the electric field charge due to charge Q as q moves from A to B?

Explanation / Answer

let potential at infinity = 0

so,

potential,A = Kq/r

a) = 9*10^9*50*10^-9/.3 = 1500 V

b)

Potential, B = 9*10^9*50*10^-9/.5 = 900V

c)

V = 900-1500 = -600 V

potential decreases

d)

Energy change = qV

= .1*10^-9*600 = 6*10^-8 J

energy change is +ve

e)

workdone = change is potential energy

= -6*10^-8 J

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