Electric potential on circumference of charged ring

In summary, the electric potential on the circumference of a charged ring can be calculated using the formula V = kq/r, where V is the potential, k is the Coulomb's constant, q is the charge on the ring, and r is the distance from the center of the ring to the point on the circumference. This potential varies inversely with distance, is directly proportional to the charge, and is not affected by the shape of the ring. It can also be negative in certain cases.
  • #1
AdityaDev
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I heard that maximum electric potential for charged ring is at its circumference. Is there an expression to find the electric potential at any point on the circumference of a charged ring?
 
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  • #2
A mathematical circle would not have a well-defined surface and also no well-defined potential exactly at the ring.
If the ring has some finite small diameter (so it looks like a donut), it is possible to calculate its potential. I'm not sure if there are analytic formulas for it, but you can certainly get a numerical approximation.
 

1. What is the formula for calculating the electric potential on the circumference of a charged ring?

The formula for calculating the electric potential on the circumference of a charged ring is V = kq/r, where V is the potential, k is the Coulomb's constant (9x10^9 Nm^2/C^2), q is the charge on the ring, and r is the distance from the center of the ring to the point on the circumference.

2. How does the electric potential on the circumference of a charged ring vary with distance?

The electric potential on the circumference of a charged ring varies inversely with the distance from the center of the ring. This means that as the distance increases, the potential decreases.

3. What is the relationship between the electric potential on the circumference of a charged ring and the charge on the ring?

The electric potential on the circumference of a charged ring is directly proportional to the charge on the ring. This means that as the charge increases, the potential also increases.

4. How does the shape of the charged ring affect the electric potential on its circumference?

The shape of the charged ring does not affect the electric potential on its circumference as long as the distance from the center to the point on the circumference is the same. This is because the formula for calculating the potential only depends on the distance and the charge, not the shape of the ring.

5. Can the electric potential on the circumference of a charged ring be negative?

Yes, the electric potential on the circumference of a charged ring can be negative. This occurs when the charge on the ring is negative, or when the distance from the center to the point on the circumference is greater than the charge on the ring.

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