ElectricElectric ForcePolarizationInsulatorElectric Field of Charged RodElectric Field of Charged Ring, Disk, and PlaneElectric Field of Charged Spherical Shell Draft for Information Only
ContentEnergy of a Single Particle
Energy of a Single ParticleThe energy of a single particle is𝐸particle=
Energy Principle for a Particlework done on particle=∆𝐸particle=𝑊=
Assume rest energy does not change
∆𝐸particle=𝑊=∆𝐾
Potential EnergyPotential energy is an interaction energy.∆𝐸1=𝑊on,1=
Consider the two particles as a system. internal work happens when the system changes shape. Potential energy is the interaction energy in a system of more than one particle. Therefore potential energy does not exist for a single particle system.
∆(𝐸1+𝐸2)=𝑊surr+𝑊internal Total change in single particle energies
∆(𝐸1+𝐸2)=∆𝐾=𝑊surr+𝑊internal
𝑊internal+∆𝐾=𝑊surr
∆𝑈+∆𝐾=𝑊surr Multiparticle energy principle
⇒∆𝑈=−𝑊internal
WorkThe work done on charge particle 𝑞2 to against the influence due to 𝑞1 is𝑊𝑎,𝑏=
Electric Potential EnergyAccording to ∆𝑈=−𝑊internal, the energy difference of a charged partcle in different position is equal to the difference of electric potential energy at different position with respect to the relative postion of the system. In other words, the electric potential energy between two charged particles can be expressed asElectric Potential Energy 𝑈=
Assume 𝑣𝑓−𝑣𝑖. Then ∆𝐾=0. Doing work on the system increases its potential energy. Work always changes 𝐸sys, so the potential energy must have changed. The electric potential energy is similar to gravitational potential energy
For multiple electric charges
The electric potential energy of the system is
𝑈ele=
Source and Referencehttps://www.youtube.com/watch?v=-uUoR3DDwmo&list=PLZ6kagz8q0bvxaUKCe2RRvU_h7wtNNxxi&index=8 ©sideway ID: 191103002 Last Updated: 11/30/2019 Revision: 0 Latest Updated Links
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