Question

State and prove expression for electric feild due to two charged thin sheet​

Answer 1

12th

Physics

Electric Charges and Fields

Applications of Gauss Law

State Gauss law in electros...

PHYSICS

State Gauss law in electrostatics. Using the law derive an expression for electric field due to a uniformly charged thin spherical shell at a point outside the shell.

MEDIUM

Share

Study later

ANSWER

Gauss Law:

Gauss law states that electric flux through any closed surface is equal to the net charge enclosed inside the surface divided by the permittivity of vacuum.

Electric field due to a uniformly charged thin shell:

In the diagram, O is the centre of the spherical shell of radius R, and charge enclosed by the spherical shell is q.

Let a point A is outside the spherical shell, where we have to calculate the electric field.The distance between the centre of spherical shell and the point A.

ϕ=E.Scosθ

So, ϕ=E.4πr

2

−−−−−−−−−−−−−−(1)

As per gauss law,

ϕ=

ϵ

o

q

−−−−−−−−−(2)

From equation (1) and (2)

E.4πr

2

=

ϵ

o

q

Now,

E=

4πϵ

o

r

2

q

This is the electric field at the distance r, outside from the shell.

I HOPE IT HELPS YOU MATE AND FOLLW ME

• mark my answer brainlist