Imagine we have a finite line of charge of length L and uniform charge density ?

Question

Imagine we have a finite line of charge of length L and uniform charge density ?
situated on the x

Imagine we have a finite line of charge of length L and uniform charge density ? situated on the x axis such that its center is at the origin. We want to calculate the electric field at a point, P, located at pL{2, yq. (a) What is the best choice for the shape of the tiny pieces of charge? (b) Find an expression for the charge of one of these pieces dq in terms of parameters given. (c) What is the distance between any little piece of charge and the point P? (d) What is the r vector in terms of given parameters? (e) Using symmetry, discuss what components of the electric field will be zero (if any). If no components are zero, explain why not.

Explanation / Answer

a) shape i think straight wire.

b) dq= lembda/L*dl

c) distance r=(L2/4+y2)1/2

d) r=y j

e) horizontal component will be zero.

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