E Field Due To Infinite Line Of Charge
Consider an infinite line of charge with a uniform linear charge density λ that is charge per unit length.
E field due to infinite line of charge. It shows you how to. This is a suitable element for the calculation of the electric field of a charged disc. A use gauss law to derive the expression for the electric field e due to a straight uniformly charged infinite line of charge density λ c m. C find the work done in bringing a charge q from perpendicular distance r 1 to r 2 r 2 r 1.
In this section we present another application the electric field due to an infinite line of charge. In the given figure if i remove the portion of the line beyond the ends of the cylinder. Electric field due to an infinite line of charge or uniformity charged long wire or thin wire an infinite line of charge may be a uniformly charged wire of infinite length or a rod of negligible radius. I was wondering what would happen if we were to calculate electric field due to a finite line charge.
Electric field due to an infinite line of charge. 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. The electric fields in the xy plane cancel by symmetry and the z components from charge elements can be simply added. Jul 24 2020 6 28 07 pm.
This equation electric field due to an infinite line of charge references 1. Electric field surrounding a uniformly charged infinite line. Last modified by. Most books have this for an infinite line charge.
This physics video tutorial explains how to calculate the electric field of an infinite line of charge in terms of linear charge density. I believe the answer would remain the same. B draw a graph to show the variation of e with perpendicular distance r from the line of charge. If the charge is characterized by an area density and the ring by an incremental width dr then.