A rod of length l is placed along x-axis. One of its ends is at the origin. The rod has a non-uniform charge density λ = a x , a being a positive constant. The electric potential at the point P (origin) as shown in the figure is

Question

A rod of length l is placed along x-axis. One of its ends is at the origin. The rod has a non-uniform charge density λ = a x , a being a positive constant. The electric potential at the point P (origin) as shown in the figure is, V = a 4 π ε 0 l b b + l, V = a 4 π ε 0 b l b + l, V = a 4 π ε 0 b l, V = a 4 π ε 0 l b

MARKS App · Accepted Answer

V = ∫ b b + l k d q x = ∫ b b + l k λ d x x = k a ∫ b b + l d x x 2 V = k a 1 b - 1 b + l V = a 4 π ε 0 l b b + l

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