All Problems

Constant Electric Field in a Vacuum

Problem 3.14

A very long straight uniformly charged thread carries a charge \(\lambda\) per unit length. Find the magnitude and direction of the electric field strength at a point which is at a distance \(y\) from the thread and lies on the perpendicular passing through one of the thread's ends.

Reveal Answer
3.14. \(E=\frac{\lambda \sqrt{2}}{4 \pi \varepsilon_{0} y}\). The vector \(\mathbf{E}\) is directed at the angle \(45^{\circ}\) to the thread.