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**Unformatted text preview: **Chapter 22 Electric Potential: (Additional Questions) 1-) Consider a point charge 1.0 C q μ = , point A at distance 1 2.0 m d = from q , and point B at distance 2 1.0 m d = . (a) If these points are diametrically opposite each other, as in Figure- a , what is the electric potential difference A B V V- ? (b) What is that electric potential difference if points A and B are located as in Figure- b ? Solution: (a) The potential difference is ( 29 2 6 9 2 N m 1 1 1.0 10 C 8.99 10 4500 V 4 4 C 2.0 m 1.0 m A B A B q q V V r r πε πε- ⋅ - =- = × ×- = - . (b) Since ( ) V r depends only on the magnitude of r r , the result is unchanged. 2-) A plastic rod has been formed into a circle of radius R . It has a positive charge Q + uniformly distributed along one-quarter of its circumference and a negative charge of 6 Q- uniformly distributed along the rest of the circumference. With V = at infinity, what is the electric potential (a) at the center C of the circle and (b) at point P , which is on the central axis of the circle at distance z from the center? Solution: (a) All the charge is the same distance R from C , so the electric potential at C is 1 6 5 4 4 Q Q Q V R R R πε πε =- = - , where the zero was taken to be at infinity....

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