A point charge Q is fixed at point z at a distance R from point Y on a circle of radius R as shown in the figure. Another point charge q is moved along the circle from point X to a diametrically opposite point Y. Point Z also lie on the extended diameter XY. How much work has to be done for the movement of charge q?
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A point charge Q is fixed at point z at a distance R from point Y on a circle of radius R as shown in the figure. Another point charge q is moved along the circle from point X to a diametrically opposite point Y. Point Z also lie on the extended diameter XY. How much work has to be done for the movement of charge q?
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Answer:
2KQq/9R
Explanation:
distance between X&Z is 2R+R=3R
Columbian force act between them is F=KQq/(3R)^2
displacement from X-Y is diameter of circle=2R
Workdone =Force×Displacement
=KQq/(3R)^2 ×2R
=2KQq/9R
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