E-Field in a Ring: Homework Solutions

[yinx]

Homework Statement

a) What is the E-field at the center of a metal ring which has uniform charge density?

b) Is E=0 for any other point within the circumference of the ring?2. The attempt at a solution

For (a), since the ring has uniform charge density and is symmetrical, based on symmetry, E-field from opposite sides "cancels" each other out therefore the E field at the center of the ring should be E=0. Am I correct?

For (b), this is the one that got me confused. I was thinking that E-field at all other points (other than the center) should be non-zero as the E-fields from opposite ends at these points are opposite in direction however not equal in magnitude. However I am not too sure about this.

Greatly appreciate if anyone can enlighten me.

-yinx-

 

[yinx]

anyone?