Force Between Multiple Charges, Learn how to Calculate the Magnitude between Charges

Safalta Expert Published by: Noor Fatima Updated Sat, 08 Oct 2022 02:40 PM IST

Highlights

Here is important and relevant information regarding Class 12 Physics Concept of Force Between Multiple Charges? Read the article to learn about the same. 

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. 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.

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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.
Refer to the information given above about forces between Multiple Charges. 

Define Current.

Current electricity is referred to as the flow of electrons from one section of the circuit to another.

What is AC Current?

AC or alternating Current is the current electricity that is bidirectional. It keeps alternating the direction of the charge flow.

What is DC Current?

DC current or Direct Current is the current electricity whose direction remains constant. It is defined by the invariable flow of electrons from an area with a high number of electrons to an area with a low number of electrons. Direct current is used in multiple household appliances and applications that consist of batteries.

What is the concept of Electrostatics?

The phenomenon of Electrostatics emerges from the forces that electric charges apply to each other and are explained by Coulomb’s law. Even though electrostatically enticed forces look to be relatively fragile.

What exactly is Electrostatics?

Electrostatics is a classification of Physics that involves the phenomenon and characteristics of motionless or slow-moving electric charges. This phenomenon emerges from the forces that electric charges exert on each other and are explained by Coulomb’s law.   
 

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