Question

A line charge sits on the z-axis from z=0 to z=a. The charge density, lambda, varies...

A line charge sits on the z-axis from z=0 to z=a. The charge density, lambda, varies linearly with the expression: lambda=(lambda0/a)z.

a, What is the electric potential, V, due to this line charge, everywhere on the x-axis?

b, How much mechanical work is needed to move a charge Q from z=+infinite to the position on the x-axis at x=d?

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