The diagram to the right shows several points, labeled A-G. Next to each point i

Question

The diagram to the right shows several points, labeled A-G. Next to each point is indicated the electric potential at that point, measured with respect to point A. Various amounts of positive and negative charge are moved from one point to another. Assuming that the potential at each of the points is kept constant at its labeled value, determine the net change in the electric potential energy of each quantity of charge listed below as it is moved along the path indicated. + 1 coulomb moved from A to B: +2 coulombs moved from D to C: +1 coulomb moved from E to G: +3 coulombs moved from B to F: +2 coulombs moved from C to A to E: -1 coulomb moved from B to C: -2 coulombs moved from G to A: -4 coulombs moved from E to F: -3 coulombs moved from A to G: -1 coulomb moved from B to G to F:

Explanation / Answer

Electric potential is a location-dependent quantity that expresses the amount of potential energy per unit of charge at a specified location. So the required potential energy is in moving the charge from one point to another is the charge multiply by the potential difference between those two points.

so potential energy, P= q* (vf - vi)

A to B P= 1 (5-0) = 5 J

D to C. P= 2(8-10) = -4J

E to G P= 1 (-3-7) = -10J

B to F P = 3(5-5) = 0J

C to A to E P = 2(0-8) + 2(7-0) = -2J

B to C P= -1(8-5) = -3J

G to A P = -2(0-(-3)) = -6J

E to F P = -4(5-7) = 8J

A to G P = -3 (-3-0) = 9J

B to G to F P = -1 (-3-5) + -1 ( 5-(-3)) = 0J

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