Question #120181
Two infinitely parallel plates have charges 1.6 microcoulomb per meter square and 2 microcoulomb per meter square if they are arranged close to each other what is the electric field
( A ) in the region outside the plates
(B) in between the page
1
Expert's answer
2020-06-05T11:32:57-0400

The fields from the first and the second plate:


E1=σ12ϵ0, E2=σ22ϵ0.E_1=\frac{\sigma_1}{2\epsilon_0},\space E_2=\frac{\sigma_2}{2\epsilon_0}.

Therefore, the field outside the plates will be


Eo=E2E1=σ2σ22ϵ0=22.6 kV/m,E_o=E_2-E_1=\frac{\sigma_2-\sigma_2}{2\epsilon_0}=22.6\text{ kV/m},

the field between the plates is

Ei=E2+E1=σ2+σ22ϵ0=203 kV/m.E_i=E_2+E_1=\frac{\sigma_2+\sigma_2}{2\epsilon_0}=203\text{ kV/m}.

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