Electric Potential find the potential at its center

In summary, the problem involves a thin plastic rod with a length of 15 cm and a charge of 4.2 nC distributed uniformly over its length. The goal is to find the potential at the center of the rod when it is bent into a ring and when it is bent into a semicircle. The relevant equation is V = KQ/r, and for a circle with a circumference of 15 cm, the radius can be found using the formula Circumference = 2(pi)r.
  • #1
lemaire
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Homework Statement



A thin plastic rod 15 cm long carries 4.2 nC distributed uniformly over its length.
(a) If the rod is bent into a ring, find the potential at its center.
(b) If the rod is bent into a semicircle, find the potential at the center (i.e., at the center of the circle of which the semicircle is part).

Homework Equations



V = KQ/r potential at a point.

The Attempt at a Solution


when bending the rod, how to find the distance r.
 
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  • #2
lemaire said:
when bending the rod, how to find the distance r.

If a 15 cm rod is bent into a circle, then it will be a circle 15 cm in circumference. What is the radius of a 15 cm circumference circle?
 
  • #3
Circumference=2(pi)r
 

FAQ: Electric Potential find the potential at its center

What is electric potential?

Electric potential is a measure of the amount of work needed to move a unit of charge from one point to another in an electric field.

How is electric potential calculated?

Electric potential is calculated by dividing the electric potential energy by the amount of charge at a specific point.

What factors affect electric potential?

The factors that affect electric potential include the distance between the charges, the amount of charge at each point, and the medium in which the charges are located.

How do you find the potential at the center of a charge distribution?

To find the potential at the center of a charge distribution, you can use the formula V = kQ/r, where V is the potential, k is the Coulomb constant, Q is the charge, and r is the distance from the center of the distribution.

Can electric potential be negative?

Yes, electric potential can be negative. This means that the potential energy of a charge is decreasing as it moves towards a more positive charge or increases as it moves towards a more negative charge.

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