Q. 23.9( 20 Votes )

A charge of 1.0 C is placed at the top of your college building and another equal charge at the top of your house. Take the separation between the two charges to be 2.0 km. Find the force exerted by the charges on each other. How many times of your weight is this force?

Answer :

Given:



Distance between the charges,


Formula used:


By Coulomb’s law, the electric force is given by:



Where ϵ0 is the permittivity of free space


q1 and q2 are the magnitude of charges


r is the distance of separation between the charges


By Coulomb’s law,





Formula used:


The weight of an object is given by



where g is the acceleration due to gravity


and m is the mass of the object.


Let the mass of my body, m be 70 kg.



Thus, dividing the Electrostatic force and the body weight, we get



The electric force between the two charges is 3.3 times my weight.


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