All Problems

Electric Current

Problem 3.161

Two conductors of arbitrary shape are embedded into an infinite homogeneous poorly conducting medium with resistivity ρ\rho and permittivity ε.\varepsilon . Find the value of a product RGR G for this system, where RR is the resistance of the medium between the conductors, and CC is the mutual capacitance of the wires in the presence of the medium.

Reveal Answer
RC=ρεε0R C=\rho \varepsilon \varepsilon_{0}