A charge q that moves between two points A and B, and has an electric force acti

Question

A charge q that moves between two points A and B, and has an electric force acting on it ( and perhaps several other forces) has work W done on it by the electric force. The electrostatic force is conservative and so we can define a change in electric potential energy, AU = -W. We defined electric field using the relation F = Q&, and in a similar way we define Electric Potential commonly called Voltage as Delta V=VB-VA=-W/q= Delta U/q or equivalently q Delta V=-qVB-qVA=-W= Delta U A ball has mass 3.0 pg and charge -6 nC moves from point A to point B. It has the same speed at points A and B, and the work done by the electric field during the move is -2.1 mJ.What is the change in electric potential energy of the ball? What is the change in voltage between points A and B

Explanation / Answer

a)
change in potential energy = - (work done)
                  = - (-2.1)
                  = 2.1 mJ

b)
change in voltage= change in potential energy /q
                         =2.1*10^-3 / (-6*10^-9)
                         = -3.5*10^5 V

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