The potential, , of a charge distribution at a point on they-axis is given by =2 y2 + a2

Chapter 2, Problem 15

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The potential, , of a charge distribution at a point on they-axis is given by =2 y2 + a2 yfor y 02 y2 + a2 + yfor y < 0where and a are positive constants. [Hint: To graph thisfunction, take, for example, 2 = 1 and a = 1.](a) Is continuous at y = 0?(b) Do you think is differentiable at y = 0?

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