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ContentElectric Potential
Electric PotentialFor two fixed opposite charged plates, the electric field due to plates is as following If a charged particle is placed in the capacitor, an induced force will drive the charged particle to move. The eletric pontential energy acting on the charge particle 𝑞_{𝑖} is𝑈_{ele}=
The electric potential is defined as the potential or the ability to have potential energy if a test charge enters the system.
In other words, the electric potential can be expressed as
𝑉≡
Potential DifferenceWhen the charge particle is moved from 𝑎 to 𝑏 as following the change in potential energy of the system is∆𝑈=−𝑊_{internal}=−
In which the systems tends to lower their potential energy by moving the charge particle from a higher potential energy position to a lower potential energy position. In other words, the potential difference drive the charge particle to move from one position to another.
∆𝑈=−𝑞𝐸∆𝑥≡𝑞∆𝑉⇒∆𝑉=
An electronVolt, 𝑒𝑉 is the energy required to move a charge particle, 𝑞=1𝑒=1.6×10^{−19}𝐶 through 1𝑉. That is 1.6×10^{−19}𝐽=1𝑒𝑉
Nonuniform Electric FieldFor a uniform electric field, i.e. 𝐸∥𝑥, ∆𝑉=−𝐸∆𝑥. And for a uniform electric field pointing in any direction.∆𝑉=−(𝐸_{𝑥}∆𝑥+𝐸_{𝑦}∆𝑦+𝐸_{𝑧}∆𝑧)≡−
If the electric field 𝐸 is not uniform, but varies in space. The potential difference can be determined by a line integral like stepping along a path. At each step, use component of electric field parallel to the step direction.
∆𝑉=−
The electric field can therefore be expressed as
Path of Potential DifferenceSince electricity is a conservative force the potential difference ∆𝑉 is independent of the path taken. For example, in a simple uniform electric field∆𝑉=−
Source and Referencehttps://www.youtube.com/watch?v=8HSwBeHZoao&list=PLZ6kagz8q0bvxaUKCe2RRvU_h7wtNNxxi&index=9 ©sideway ID: 191200302 Last Updated: 3/12/2019 Revision: 0 Latest Updated Links

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