All Problems

Electric Current

Problem 3.155

A metal ball of radius aa is surrounded by a thin concentric metal shell of radius bb. The space between these electrodes is filled up with a poorly conducting homogeneous medium of resistivity ρ\rho. Find the resistance of the interelectrode gap. Analyse the obtained solution at b→∞b \rightarrow \infty.

Reveal Answer
R=ρ(b−a)/4πab. In the case of b→∞R=ρ/4πaR=\rho(b-a) / 4 \pi a b . \text { In the case of } b \rightarrow \infty \quad R=\rho / 4 \pi a
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