Class 12 Physics |I Electric Field Strength due to a Uniformly Charged Rod at a General Point

Excellent Numerical for JEE Mains “Line” of Charge A linear charge distribution is characterized by its charger per unit length. Linear charge density is usually given the symbol λ; for an arclength ds of the distribution, the electric charge is dq = λd It is relatively simple to find a general expression for the electric field of a uniform rod at any arbitrary point in space. The result includes the case of the field on the axis of the rod beyond one of its ends, and the case of an infinitely long rod. The general answer is most conveniently expressed in terms of the linear charge density λ; for a finite rod of length L and total charge Q, that charge density is equal to Q/L. electric field generated by this infinitely long, straight, uniformly charged rod, with charge density of λ coulombs per meter, will be equal to λ over 2 π ε0 R. Since this electric field was in positive x direction, in order to represent this in vector notation, we multiply this by the unit vector pointing in positive x direction.