The electric field strength E₀ is measured at a perpendicular distance R from an infinitely large, thin sheet that contains a uniform positive charge density σ. In terms of the stated properties and the permittivity of free space ε₀, write an expression for the electric field strength E at a perpendicular distance 2 R from the sheet?

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Physics

Crawford

30 June, 07:53

The electric field strength E₀ is measured at a perpendicular distance R from an infinitely large, thin sheet that contains a uniform positive charge density σ. In terms of the stated properties and the permittivity of free space ε₀, write an expression for the electric field strength E at a perpendicular distance 2 R from the sheet?

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Rhianna Cohen · Answer 1

E = (σ/ε0)

As noted by Dirac the field is the same no matter how far you are from the sheet. When your charge covers a conducting plane, as in your case, the field is, D/eo, (D is charge density). Because the field inside the conductor (no matter how thin) is zero. The only time the field is, D/2eo, is when you have just a sheet of charge, by itself, not on a conducting plane."