# How much of potential energy stored in conducting sphere

• kyng
In summary, the conversation is about a problem involving an isolated conducting sphere with a given radius and charge, and finding the potential energy stored in the sphere. The question asks for help in solving the problem and a hint is provided. The solution provided is 103nJ.
kyng
Hi,
can anyone help me to solve this problem...

An isolated conducting sphere which radius R is 6.85cm has a charge q=1.25nc. Determine how much potential energy stored in conducting sphere?

I try to solve it but can't get the ans...the hint given is by using c=4(pi)ER

thanks for helping

Last edited:
kyng said:
An isolated conducting sphere which radius R is 6.85cm has a charge q=1.25nc. Determine how much potential energy stored in conducting sphere?
Welcome to Physics Forums.

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The homework template is there for a reason, please use it.

## 1. How is the potential energy of a conducting sphere calculated?

The potential energy of a conducting sphere can be calculated using the formula PE = Q^2 / (4πεr), where PE is the potential energy, Q is the charge on the sphere, ε is the permittivity of the material between the sphere and its surroundings, and r is the distance between the sphere and its surroundings.

## 2. How does the charge on the sphere affect its potential energy?

The potential energy of a conducting sphere is directly proportional to the square of its charge. This means that as the charge on the sphere increases, so does its potential energy.

## 3. What is the relationship between the distance of the sphere from its surroundings and its potential energy?

The potential energy of a conducting sphere is inversely proportional to the distance between the sphere and its surroundings. This means that as the distance increases, the potential energy decreases.

## 4. Can the potential energy of a conducting sphere be negative?

Yes, the potential energy of a conducting sphere can be negative. This occurs when the charge on the sphere is negative and the sphere is in an electric field created by a positively charged object. In this case, the potential energy is negative because the sphere is in a stable, lower energy state.

## 5. How does the material of the sphere affect its potential energy?

The material of the conducting sphere does not directly affect its potential energy. However, the permittivity of the material does play a role in the calculation of potential energy. A material with a higher permittivity will result in a lower potential energy for the same charge and distance compared to a material with a lower permittivity.

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