An infinite line charge of uniform electric charge density λ lies along the axis of an electrically conducting infinite cylindrical shell of radius R. At time t = 0, the space inside the cylinder is filled with a material of permittivity ε and electrical conductivity σ. The electrical conduction in the material follows Ohm's law. Which one of the following graphs best describes the subsequent variation of the magnitude of current density j (t) at any point in the material?
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Suppose charge per unit length at any instant is λ and initially it is λ 0 electric field at a distance r any instant is
E = 
J = σ 
= J(a) = – J ×2πr λ
λ = λ 0 
J = J 0 
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