A uniform current density J = axJ0 flows in a very large rectangular block of homogeneous material of a uniform thickness having a conductivity σ. A hole of radius b is drilled in the material. Find the new current density J' in the conducting material. (Hint: Solve Laplace's equation in cylindrical coordinates and note that V approaches -(J0r/σ)cos ϕ as r → ∞, where ϕ is the angle measured from the x-axis.)
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