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Proof:-
Ф = -∫EdA (By Definition)
Here Ф is the flux
E is the Electric field.
dA is a small area taken.
Ф = -EA (Integration of dA is A)
Now, formula of electric field is given by:
Here, eo is the permitivity.
Ф= x
(Area of a sphere is 4)
(Here we take the closed surface as sphere)
Thus, we get :
Ф =
THIS THEOREM IS KNOWN AS GAUSS THEOREM.
If the charge lies outside the closed surface, the electric flux will 0 as Ф= where q is the charge enclosed (Inside the surface)
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