Infinite Line Charge Formula

1 find a formula describing the electric field at a distance z from the line.

Infinite line charge formula. The electric field of an infinite line charge with a uniform linear charge density can be obtained by a using gauss law considering a gaussian surface in the form of a cylinder at radius r the electric field has the same magnitude at every point of the cylinder and is directed outward the electric flux is then just the electric field times the area of the cylinder. There is therefore a constant charge per unit length l which is. Dq λ dx the field this piece sets up at the point is. An infinite line is uniformly charged with a linear charge density λ.

In this section we present another application the electric field due to an infinite line of charge. λ q l if a small piece of the line has a width dx the charge on it is. Potential of any point a with respect to any other point b. It shows you how to.

The intensity of the electric field near a plane sheet of charge is e σ 2ε 0 k where σ surface charge density. The infinite line is easiest to get as a consequence of gauss s law. Electric field surrounding a uniformly charged infinite line. Have a look at the final equation for the electric potential of the line of charge.

The charge q is spread uniformly over the line which has length l. Where λ is the linear charge density. In case of an infinite line of charge at a distance r. This physics video tutorial explains how to calculate the electric field of an infinite line of charge in terms of linear charge density.

2a is the length of the very long line of charge. Therefore de k λ dx d 2 x 2. Pick a gaussian surface that s a finite cylinder of length l radius r and it s axis along the line of charge. E 1 4 πrε 0 2π r λ 2πrε 0.

Written by willy mcallister. De k dq r 2 where r 2 d 2 x 2. We can find the electric field of an infinite line charge as well. Section 5 5 explains one application of gauss law which is to find the electric field due to a charged particle.