All Problems

Constant Electric Field in a Vacuum

Problem 3.14

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

Reveal Answer
3.14. E=λ24πε0yE=\frac{\lambda \sqrt{2}}{4 \pi \varepsilon_{0} y}. The vector E\mathbf{E} is directed at the angle 4545^{\circ} to the thread.