PhysicsLAB: 1999 C3 E&M

The non-conducting ring of radius R shown below lies in the yz-plane and carries a uniformly distributed charge Q.

	(a) Determine the electric potential at points along the x-axis as a function of x.

(b) Determine the following components of the ring's electric field.

	i. show that the x-component of the electric field along the x-axis is given by

	ii. What are the y- and z- components of the electric field along the x-axis?

	i. the value of x for which E_x is a maximum.

	ii. The maximum electric field E_{x max}

	(d) on the axis above, sketch E_x versus x for points on the x-axis from x = -2R to x = +2R

	(e) an electron is placed at x = R/2 and released from rest. Qualitatively describe its subsequent motion.