Electric field due to a small length of wire:

$\overline{){\mathbf{d}}{\mathbf{E}}{\mathbf{=}}{\mathbf{k}}\frac{\mathbf{d}\mathbf{Q}}{{\mathbf{x}}^{\mathbf{2}}}{\mathbf{=}}{\mathbf{k}}\frac{\mathbf{\lambda}\mathbf{d}\mathbf{x}}{{\mathbf{x}}^{\mathbf{2}}}}$

A straight wire of length L has a positive charge Q distributed along its length.

Find the magnitude of the electric field due to the wire at a point located a distance d from one end of the wire along the line extending from the wire. Find E_{net}, the magnitude of the electric field at point P due to the total charge.

Express your answer in terms of some or all of the variables Q, L, and *d*, and the constants k and/or ϵ_{0}.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Electric Fields with Calculus concept. You can view video lessons to learn Electric Fields with Calculus. Or if you need more Electric Fields with Calculus practice, you can also practice Electric Fields with Calculus practice problems.