All Problems

Constant Electric Field in a Vacuum

Problem 3.15

A thread carrying a uniform charge \(\lambda\) per unit length has the configurations shown in Fig. \(3.2 a\) and \(b\). Assuming a curvature radius \(R\) to be considerably less than the length of the thread, find the magnitude of the electric field strength at the point \(O\).

Reveal Answer
 (a) E=λ24πε0R (b) E=0 . \text { (a) } E=\frac{\lambda \sqrt{2}}{4 \pi \varepsilon_{0} R} \text { (b) } E=0 \text { . }