Electric field near an uniformly charged infinite sheet | class 12 physics

Electric field near an uniformly charged infinite sheet | class 12 physics | advguruji

Consider, an uniformly charged infinite sheet having surface charge density σ.

Let, A be the small area of the sheet containing charge q.

As, charge lie on both the sides of the sheet, so electric field E is also on both the sides.

using Gauss theorem, net electric flux through the cylinder enclosing the charge 'q' is -

Φ = q/εο ......(1)

But, Φ = Φ1 + Φ2 + Φ3

= EACos0° + EACos0° + 0

Φ = 2EA .......(2)

From equation (1) & (2)

2EA = q/εο

E = q/2Aεο

Also, σ = q/A

Therefore,

[ E = σ/2εο ]

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