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Method to Calculate the Magnitude of the Force Between two Charges |
Is there a way to find a force on one charge due to various charges? |
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Method to Calculate the Magnitude of the Force Between two Charges
We can find the force between any two charges by Coulomb’s law. Coulomb’s law states that two charged bodies will attract or repel each other with a force that is proportional to the product of their charges and inversely proportional to the square of the distance between them. We can find out the force between any two charges by Coulomb’s LawCoulomb’s Law says that two charged objects will attract or repel each other with a force that is proportional to the product of their charges. It will be inversely proportional to the square of the distance between them
Here is the equation we get out of this statement-
F = k∗Q1∗Q2d2
Where F = Force of attraction or repulsion relying upon the Charges
- k= Coulomb’s constant, for air, it is 9×109 N m2 C-2.
- Q1 and Q2= Magnitudes of two charges
- d= Distance between the two charges
This is only applicable to two charged objects.
Also read:
Electric Charge
Conductors and Insulators
Basic Properties of Electric Charge
Is there a way to find a force on one charge due to various charges?
Let’s assume three charges Q1, Q2, and Q3.We can obtain the total force acting on a charge by computing the vector sum of all the forces acting on the charge. This is referred to as Superposition Theorem. Taking the above instance of 3-point charges Qa, Qb, and Qc into consideration with a position vector of r1, r2, and r3.
The force experienced one charge because of the other charge is expressed as-
This can be expressed as-
By applying this to the recent circumstance of 3 point charge, we will obtain-
This is a blend of the Coulombs law and the superposition theorem. Any electrostatic force can be evolved using Coulombs' law and the superposition theorem in this manner.
- The force acting on a charge is directly proportional to the magnitude of the charge. It is contrarily relative to the square of the distance between them.
- The force acting on a point charge because of various charges is derived by the vector sum of the all specific forces acting on the charges.