Difference between revisions of "Electric Potential"
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*<math>𝑉=𝑘\frac{𝑄}{𝑟}</math> | *<math>𝑉=𝑘\frac{𝑄}{𝑟}</math> | ||
| − | Where: | + | Where: |
| − | *𝑘 is the Coulomb's constant | + | *𝑘 is the [[Coulomb's Constant|Coulomb's constant]] |
| − | *𝑄 is the charge | + | *𝑄 is the [[Point Charge|point charge]] causing the field |
| − | *𝑟 is the distance from | + | *𝑟 is the distance from that [[Point Charge|point charge]] |
| + | Since; | ||
| + | *<math>𝑘=\frac{1}{4\pi\varepsilon_0}</math> | ||
| + | Then: | ||
| + | *<math>𝐸=\frac{1}{4\pi\varepsilon_0}\frac{𝑄}{𝑟}</math> | ||
| + | or | ||
| + | *<math>𝐸=\frac{𝑄}{4\pi\varepsilon_0𝑟}</math> | ||
| + | Where: | ||
| + | *<math>\varepsilon_0</math>is the [[Permittivity of Free Space|permittivity of free space]] | ||
Latest revision as of 09:03, 24 May 2024
Key Stage 5
Meaning
Electric potential at a point in an electric field is the work done per unit charge to move a small positive test charge from infinity to that point.
About Electric Potential
- Electric potential is denoted by the symbol 𝑉.
- Electric potential is measured in volts (V).
- The electric potential difference (pd) between two points is the work done to move a unit charge between those points.
- Equipotential surfaces are surfaces on which the electric potential is the same; no work is required to move a charge along an equipotential surface.
Formula
Electric potential is given by the general formula:
- \(𝑉=\frac{𝑊}{𝑄}\)
Where:
The electric potential due to a point charge is
- \(𝑉=𝑘\frac{𝑄}{𝑟}\)
Where:
- 𝑘 is the Coulomb's constant
- 𝑄 is the point charge causing the field
- 𝑟 is the distance from that point charge
Since;
- \(𝑘=\frac{1}{4\pi\varepsilon_0}\)
Then:
- \(𝐸=\frac{1}{4\pi\varepsilon_0}\frac{𝑄}{𝑟}\)
or
- \(𝐸=\frac{𝑄}{4\pi\varepsilon_0𝑟}\)
Where:
- \(\varepsilon_0\)is the permittivity of free space