Question #258737
Two infinite and parallel sheets of charge have the same surface density. What is the field in the region between the sheets







1
Expert's answer
2021-11-01T19:29:03-0400

We know that

Surface charge density

σ=QA\sigma=\frac{Q}{A}



Now plate left side electric field

EL=σ2ϵ0+σ2ϵ0=0E_L=\frac{-\sigma}{2\epsilon_0}+\frac{\sigma}{2\epsilon_0}=0

Plate right side electric field

ER=σ2ϵ0σ2ϵ0=0E_R=\frac{\sigma}{2\epsilon_0}-\frac{\sigma}{2\epsilon_0}=0

Plate mid point electric field

Em=σ2ϵ0+σ2ϵ0=σϵ0E_m=\frac{\sigma}{2\epsilon_0}+\frac{\sigma}{2\epsilon_0}=\frac{\sigma}{\epsilon_0}

To infinite and parallel sheet between electric field

Em=σ2ϵ0+σ2ϵ0=σϵ0E_m=\frac{\sigma}{2\epsilon_0}+\frac{\sigma}{2\epsilon_0}=\frac{\sigma}{\epsilon_0}


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