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6 (8c24p23) A circular plastic rod of radius R 0.80 m has a positive charge Q 9.

ID: 1875127 • Letter: 6

Question

6 (8c24p23) A circular plastic rod of radius R 0.80 m has a positive charge Q 9.00x10-6 Cuniformly distributed along one-quarter of its circumference and a negative charge of-40 uniformly distributed along the rest of the circumference (see the figure). (At infinity V is zero) What is the electric potential at the center C of the circle? 5.06 10 5V Submit Answer You have entered that answer before Incorrect. Tries 3/10 Previous Tries what is the electric potential at point P, which is on the central axis of the circle at a distance z = 0.448 m from the center? 8.82 10 4V Submit Answer Incorrect. Tries 4/10 Previous Tries

Explanation / Answer

a) elctric potential at point C,

VC = k*(-6*Q + Q)/R

= -5*k*Q/R

= -5*9*10^9*9*10^-6/0.8

= -5.06*10^5 V

b) distance from a point on the ring to point P,

r = sqrt(R^2 + z^2)

= sqrt(0.8^2 + 0.448^2)

= 0.917 m

Electric potential at point P,

VP = k*(-6*Q + Q)/r

= -5*k*Q/r

= -5*9*10^9*9*10^-6/0.917

= -4.42*10^5 V

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