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Electric Field of a nonconducting Plane sheet of charge

# Electric Field of a nonconducting Plane sheet of charge -...

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Electric Field of a nonconducting Plane sheet of charge -Use a cylindrical Gaussian surface - The flux through the ends is EA, there is no field through the curved part of the surface. - The total charge is Q= σ / 2 ε o - Note the field is uniform. Cylider = Gauses’ Law = Charge inside cylinder/εo = ϕ (σ x Area of circle) / εο = σA/εο Cylinder = upper surface + lower surface + Around the cylinder ϕ ϕ ϕ ϕ = EA Cos o + EA cos o + o 2EA = σA /εo E = σ/2εo - Th e fi eld m u s t b e p erp e n dicular t o t h e s h e e t - The field is directed either towards or away from the sheet Parallel Place capacitor - The device consists of plates of positive and negative charge - The total electric field between the plates is given by E = σ /ε o - The field outside the plates is zero Ex) E1= σ / 2 ε o E2 = σ / 2 ε o Th e el e c tric fi eld b elo w t h e c a p a cit a t or = E b elo w = -E2 + E1 = -σ / 2 ε o + σ / 2 ε o = 0 E a b o v e = +E 2 –E1 = 0 Emiddl e = +E 2 + E1 = σ / 2 ε o + σ / 2 ε o = σ / 2 ε o Electric Po t e n tial En er g y -

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