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Problem 10.
A thin disk with a circular hole at its center has inner radius  a nd outer radius  . The disk has a uniform positive surgace charge density  on its surface. The disk lies in the yz plane, with its center at the origin. For an arbitrary point on the x axis (the axis of the disk) find the magnitude of the electric field.
Solution
Disk can be considered as a combination of many rings. Electric field due to a ring of radius R has the following expression:
The linear charge density of a ring is  . To find the net electric field we just need to integrate the above expression from  a nd  :
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