**Forces between Multiple Charges:**A charge is an inherited characteristic of every atom. An atom, the smallest unit that all matter is made up of, is assumed to be charged if it consists of an unequal number of positively and negatively charged elements. An atom is assumed to be positively charged if it contains less number of negatively charged elements (electrons) than positively charged element protons. On the other hand, it is said to be negatively charged with it has more electrons than the positively charged particles (protons). Different bodies get charged differently.

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The most frequent way of supplying charge to a body is rubbing. If you rub a plastic comb with your hair, the comb will acquire electrons from the hair. Afterward, if we place tiny pieces of paper near the comb, it will pull the pieces towards it like a magnet attracting iron particles. This happens because the negatively charged elements (electrons) exert a pull on the comb on the positively charged paper. This is the force of Charges in Action.**Recommended: Study for your Exams with Safalta School online. We provide**

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**Table of Content**

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 Law Coulomb’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.