Flag Electrostatics> Sate and prove coulomb inverse square law...
question mark

Sate and prove coulomb inverse square law using gauss theorem

Abhishek Sahu , 3 Years ago
Grade 12
anser 1 Answers
Murali Ramalingam

Last Activity: 3 Years ago

We consider the Gaussian surface to be a sphere with the point charge as center.
Since the idea is to find electric field at a point, say r meters away from the point charge, the radius of the sphere will also be r meters.
 
By symmetry, electric field will be equal through every point on the sphere.
The surface area of the sphere is 4*pi*r^2^{}.
And net charge contained within the sphere is the point charge we started with, say q.
 
We now apply Gauss’ theorem.
Electric flux should be equal to
 {\oint }E dA
 
Since E is constant, we can just write E*4*pi*r^2^{}=q/\epsilon.
 
Since pi,q, epsilon are constant in this case, E is inversely proportional to r^2^{}, and therefore so is force.
Hence proved.

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...