Coulomb’s Law-
Before you go through this article, make sure that you have gone through the previous article on Coulomb’s Law.
We have learnt-
- Coulomb’s Law helps to calculate the magnitude of electric force between the two stationary point charges.
- By Coulomb’s law, the the magnitude of electric force between the two charges is calculated as-
In this article, we will learn about Coulomb’s Law in Vector Form.
Coulomb’s Law In Vector Form-
Let q_{1} and q_{2} be two like charges placed at points A and B respectively in vacuum as shown-
Using triangle law of vector addition, we have-
The coulomb’s force F_{21} acting on charge q_{2} due to charge q_{1} is given by-
Equation-01
The coulomb’s force F_{12} acting on charge q_{1} due to charge q_{2} is given by-
Equation-02
Equations-01 and 02 gives Coulomb’s law in vector form.
Importance of Vector Form-
The vector form of Coulomb’s law gives the following additional information-
1. F_{12} = – F_{21}. This means that the two charges exert equal and opposite forces. So, Coulombian forces obey Newton’s third law of motion.
2. As the Coulombian forces, F_{12} and F_{21} act along the line joining the centers of two charges, so they are central forces.
NOTEIf we put q_{1} and q_{2} with proper signs in equations-01 and 02, then the direction of forces automatically gets adjusted. |
Read the next article on-
Electric Force | Definition | Properties
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