What is the energy dissipated in the wire?

In summary, the problem involves two charged metal plates connected by a copper wire. The maximum current and electric field in the wire have already been calculated to be 4.17×10^5 A and 1.80×10^5 V/m, respectively. The remaining part, part c, asks for the total amount of energy dissipated in the wire which can be calculated using the formula U = -qEd, where q is the charge on the point charge, E is the electric field, and d is the distance between the two plates. To find the charge on the point charge, we need to use the equation F = qE, where F is the force exerted by the electric field on the point charge. This
  • #1
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Homework Statement



Two 10-cm-diameter metal plates are 1.0 cm apart. They are charged to \pm12.5 nC. They are suddenly connected together by a 0.224-mm-diameter copper wire stretched taut from the center of one plate to the center of the other.

a) What is the maximum current in the wire?
b) What is the largest electric field in the wire?
c) What is the total amount of energy dissipated in the wire?

Homework Equations





The Attempt at a Solution


i already got part a an b.. the answers are 4.17×10^5 A and 1.80×10^5 V/m , respectively

part c...i can't figure it out...how to calculate the energy?
help

i think the energy dissipated from the wire goes to the capacitor
 
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  • #2
What would be the force exerted by the e-field on a point charge of q? Now how is work and hence potential energy related to this force?
 
  • #3
what is the charge on the point charge

F = qE
W = Fdcos(angle)

W = qEd
U(electric potential energy ) = - W(electric)
then
U = -qEd
 

Related to What is the energy dissipated in the wire?

1. What is energy dissipated from a wire?

Energy dissipated from a wire refers to the amount of energy that is lost or converted into heat as electricity flows through the wire. This occurs due to the resistance of the wire, which causes some of the electrical energy to be converted into heat energy.

2. How is energy dissipated from a wire measured?

The energy dissipated from a wire can be measured using a device called a wattmeter, which measures the power (rate of energy transfer) in a circuit. Alternatively, it can be calculated using the equation: energy dissipated = current^2 * resistance * time.

3. What factors affect the amount of energy dissipated from a wire?

The main factors that affect the amount of energy dissipated from a wire are the current flowing through the wire, the resistance of the wire, and the amount of time the current is flowing. Other factors such as temperature and the material of the wire can also play a role.

4. How does energy dissipated from a wire impact electrical systems?

The dissipation of energy from a wire can lead to a decrease in the efficiency of electrical systems, as some of the energy is lost as heat instead of being used for its intended purpose. This can also lead to overheating and potential damage to the wire or other components in the system.

5. Can energy dissipated from a wire be reduced or avoided?

While some energy dissipation is inevitable, it can be reduced by using wires with lower resistance, minimizing the length of the wire, and using higher-quality materials. Additionally, proper maintenance and insulation can help prevent overheating and potential damage to the wire and electrical systems.

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