Circular ring and potential at its centre.

AI Thread Summary
To find the electric potential at a point on the axis of a uniformly charged circular ring, the charge on a small length of the ring can be treated as a point charge. The potential due to this charge is calculated using the formula V = Kq/r, where K is the Coulomb's constant, q is the charge, and r is the distance from the charge to the point of interest. The total potential is obtained by integrating the contributions from all segments of the ring. Additionally, the electric field at that point can be derived as the spatial derivative of the voltage. Understanding these calculations is essential for solving problems involving charged rings.
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Homework Statement


Consider a circular ring of radius r, uniformly hcarged with linear density lambda. Find the electric potential at a point on the axis at a distance x from the centre of the ring. Using this expression for the potential, find the electric field at this point.


Homework Equations



V = Kq/r
Electric field = spatial derivative of voltage

The Attempt at a Solution


I'm having trouble finding the potential! I do not understand how to calculate the potential due to a ring? I can't assume it to be a point hcarge!
 
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lavanyasharma said:
I'm having trouble finding the potential! I do not understand how to calculate the potential due to a ring? I can't assume it to be a point hcarge!

The charge carried on a small length dl can be considered as point charge. Calculate the contribution of the charge dq=Lambda*dl to the potential at x and integrate round the ring.

ehild
 

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