Change in electric potential energy

In summary, a conducting tire with a radius of 32.5 cm has a charge of 4.89×10-8 C placed on its surface, resulting in a potential of 1.35E+03 V. After the tire shrinks to a radius of 10.5 cm, the potential on its surface becomes 4.19E+03 V. The change in electrical potential energy during this process is calculated using the equation \DeltaU = q(\DeltaV) = (4.89e-8C)(4190J/C-1350J/C) = 1.4e-4 J. However, this solution may not be correct and further assistance is needed.
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Homework Statement



A tire of radius 32.5 cm has a surface that is conducting. A charge of 4.89×10-8 C is then placed on the surface. The potential on the balloon's surface is 1.35E+03 V. Later, suppose that some of the air is let out of the tire, so that the radius shrinks to 10.5 cm, the new potential on the balloon's surface is 4.19E+03 V.

What is the change in electrical potential energy during the shrinking process?

Homework Equations



Change in electric potential energy = q (change in electric potential)

The Attempt at a Solution



[tex]\Delta[/tex]U = q([tex]\Delta[/tex]V) = (4.89e-8C)(4190J/C-1350J/C) = 1.4e-4 J

But that doesn't work.
 
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FAQ: Change in electric potential energy

What is electric potential energy?

Electric potential energy is the energy that a charged particle possesses due to its position in an electric field. It is a form of potential energy that is associated with the interaction between electrically charged particles.

How does electric potential energy change?

Electric potential energy changes when the distance between two charged particles changes, or when the strength of the electric field between them changes. It can also change if the charges themselves are altered.

What is the formula for calculating change in electric potential energy?

The formula for change in electric potential energy is ΔPE = qΔV, where ΔPE is the change in potential energy, q is the charge, and ΔV is the change in electric potential.

How is change in electric potential energy related to work?

Change in electric potential energy is related to work through the equation W = -ΔPE, where W is the work done by an external force and ΔPE is the change in potential energy. This means that when the electric potential energy decreases, work is being done on the system, and when it increases, work is being done by the system.

What are some real-life examples of change in electric potential energy?

Some examples of change in electric potential energy include charging a battery, turning on a light switch, and rubbing a balloon against hair. In all of these cases, the electric potential energy of the system is changing due to the movement of charges or a change in the electric field.

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