The potential, , of a charge distribution at a point on the y-axis is given by = 2 y2 +
Chapter 2, Problem 15(choose chapter or problem)
The potential, , of a charge distribution at a point on the y-axis is given by = 2 y2 + a2 y for y 0 2 y2 + a2 + y for y < 0 where and a are positive constants. [Hint: To graph this function, 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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