Difference between revisions of "Coulomb's Law"
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===About Coulomb's Law=== | ===About Coulomb's Law=== | ||
: '''Coulomb's Law''' can be used to calculate the [[magnitude]] of the [[force]] acting between two [[Electrical Charge|charged]] point [[particle]]s. | : '''Coulomb's Law''' can be used to calculate the [[magnitude]] of the [[force]] acting between two [[Electrical Charge|charged]] point [[particle]]s. | ||
| + | : '''Coulomb's Law''' has a similar form to [[Newton's Law of Universal Gravitation]] in that both are given with a constant multiplied by a product of some physical property ([[Electrical Charge|charge]] and [[mass]]) and [[Inversely Proportional|inversely proportional]] to the square of the [[distance]] between [[particle]]s. | ||
===Equation=== | ===Equation=== | ||
| − | <math>F=\dfrac{1}{4 \pi \ | + | <math>F=\dfrac{1}{4 \pi \varepsilon_0} \dfrac{q_1q_2}{r^2}</math> |
| − | Where | + | Where; |
<math>F</math> = The [[force]] acting between the [[Electrical Charge|charged particles]] | <math>F</math> = The [[force]] acting between the [[Electrical Charge|charged particles]] | ||
| − | <math>\ | + | <math>\varepsilon_0</math> = The [[Permittivity of Free Space]] (<math>8.85\times10^{-12}Fm^{-1}</math>) |
<math>q_1</math> = The [[Electrical Charge|charge]] on one [[particle]]. | <math>q_1</math> = The [[Electrical Charge|charge]] on one [[particle]]. | ||
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<math>r</math> = The [[distance]] between the [[particle]]s. | <math>r</math> = The [[distance]] between the [[particle]]s. | ||
| − | + | The definition can be derived from the equation by considering; | |
| − | <math>\dfrac{1}{4 \pi \ | + | <math>\dfrac{1}{4 \pi \varepsilon_0}</math> is a constant so the left hand side and right hand side are [[proportional]]. |
<math>q_1q_2</math> is the product of the [[Electrical Charge|charges]]. | <math>q_1q_2</math> is the product of the [[Electrical Charge|charges]]. | ||
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<math>\dfrac{1}{r^2}</math> is the the [[Inversely Proportional|inverse]] of the square of the [[distance]]. | <math>\dfrac{1}{r^2}</math> is the the [[Inversely Proportional|inverse]] of the square of the [[distance]]. | ||
| − | Therefore | + | Therefore; |
| − | <math>F\propto\ | + | <math>F\propto\dfrac{q_1q_2}{r^2}</math> |
Latest revision as of 14:14, 7 September 2019
Key Stage 5
Meaning
Coulomb's Law states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
About Coulomb's Law
- Coulomb's Law can be used to calculate the magnitude of the force acting between two charged point particles.
- Coulomb's Law has a similar form to Newton's Law of Universal Gravitation in that both are given with a constant multiplied by a product of some physical property (charge and mass) and inversely proportional to the square of the distance between particles.
Equation
\(F=\dfrac{1}{4 \pi \varepsilon_0} \dfrac{q_1q_2}{r^2}\)
Where;
\(F\) = The force acting between the charged particles
\(\varepsilon_0\) = The Permittivity of Free Space (\(8.85\times10^{-12}Fm^{-1}\))
\(q_1\) = The charge on one particle.
\(q_2\) = The charge on the other particle.
\(r\) = The distance between the particles.
The definition can be derived from the equation by considering;
\(\dfrac{1}{4 \pi \varepsilon_0}\) is a constant so the left hand side and right hand side are proportional.
\(q_1q_2\) is the product of the charges.
\(\dfrac{1}{r^2}\) is the the inverse of the square of the distance.
Therefore;
\(F\propto\dfrac{q_1q_2}{r^2}\)