All Problems

Constant Electric Field in a Vacuum

Problem 3.19

A very long uniformly charged thread oriented along the axis of a circle of radius \(R\) rests on its centre with one of the ends. The charge of the thread per unit length is equal to \(\lambda .\) Find the flux of the vector \(\mathbf{E}\) across the circle area.

Reveal Answer
 | Φ=1/2λR/ε0 . The sign of \Phidepends on how the direction of the normal to the circle is chosen. \text { | } \Phi \mid=1 / 2 \lambda R / \varepsilon_{0} \text { . The sign of \Phi depends on how the direction of the normal to the circle is chosen. }