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Three charged rods, one with net charge +Qo and two with -Qo are held in place a

ID: 2180891 • Letter: T

Question

Three charged rods, one with net charge +Qo and two with -Qo are held in place as shown in the top view diagram.

A small test charge +qo travels from point A to D along the path described below. First the test charge travels along a straight line from A to B. The it travels from B to C, along the semicircle as shown. Finally it travels along a straight line from C to D.

A) Rank from highest to lowest, the electric potentials at points A, B, C, and D. Explain.

B) The positively charged rod is now moved to the left. Has the total potential energy of the three rod system increased, decreased, or remained the same? Explain.

Three charged rods, one with net charge +Qo and two with -Qo are held in place as shown in the top view diagram. A small test charge +qo travels from point A to D along the path described below. First the test charge travels along a straight line from A to B. The it travels from B to C, along the semicircle as shown. Finally it travels along a straight line from C to D. A) Rank from highest to lowest, the electric potentials at points A, B, C, and D. Explain. B) The positively charged rod is now moved to the left. Has the total potential energy of the three rod system increased, decreased, or remained the same? Explain.

Explanation / Answer

potential=k*q/r va=k*Qo(1/1-1/2-1/5) Vb=k*Qo(1/2-1/1-1/4) Vc=k*Qo(1/4-1/1-1/2) Vd=k*Qo(1/5-1/2-1/1) Va>Vb>Vc>Vd B)u=k*q1*q2/r potential energy increases

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