Electric Fields with Calculus Video Lessons

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Problem: 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 Enet, 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 ϵ0.

FREE Expert Solution

Electric field due to a small length of wire:

dE=kdQx2=kλdxx2

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Problem Details

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 Enet, 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 ϵ0.

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