## Self Assessment Quiz

1. Consider a finite line charge of uniform charge density l and of length L lying along the x-axis from to  x=0. Find the field at a point along the axis at x=d.

2.Find the point(s) on the axis of a charged ring where the electric field has maximum strength.

3. Find the electric field on the axis of a 600 arc of a circle of radius R with a uniform charge density . Leave the result in terms of an integral.  In particular, find the field at the centre of the circle of which the arc is a part.

4. Determine the electric field at the centre  of the base of a semicircle of radius R which has a charge density , where q is the angle made by an element on the semicircle with the base.

5. Two semi-infinite charged lines lie in the x-y plane  making an angle of 1200 with each other.  They are smoothly joined by an arc of a circle of radius R. The linear charge density is uniform throughout. Find the electric field at the centre of the circle of which the arc is a part. 