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Maximum Electric Field of a Finite Line Charge

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A finite line charge of length 2L and uniform linear charge density λ\lambda is centered at the origin and aligned with the x-axis. At which point on the y-axis is the magnitude of the electric field a maximum?

A

There is no finite maximum; the field diverges as y→0y \to 0

B

y = L

C

y = 0

D

y = L/\sqrt{2}

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