[2018EM/QUIZ-03]

Electrodynamics Sep 7, 2018

Quiz-III

1. Find and plot a few equipotential surfaces for two infinitely long parallel wires having uniform charge densities \(\lambda, -\lambda\). 
2. Two parallel cylindrical wires each of radius \(R\) are held at potentials \(\pm V_0 \) per unit length. Show that the capacitance per unit length of the cylinders is given by \[\frac{1}{C}= \frac{1}{\pi \epsilon_0} \log\left(\frac{D+\sqrt{D^2-4R^2}}{2R}\right)\] [Hint : Replacing them with suitable parallel line charges].