An infinitely long line of linear charge density λ is shown in the figure. The potential difference V A - V B between the two points A and B is

Question

An infinitely long line of linear charge density λ is shown in the figure. The potential difference V A - V B between the two points A and B is, λ 2πε 0 l n 2, - λ 2πε 0 l n 2, λ 4πε 0 l n 2, - λ 4πε 0 l n 2

MARKS App · Accepted Answer

V A - V B = - ∫ B A E → . d r → V A - V B = - ∫ 2r r 2λ 4π ε 0 r dr V A - V B = 2λ 4π ε 0 r ∫ r 2r 1 r dr = 2λ 4π ε 0 ln 2r r = 2λ 4π ε 0 ln 2

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