Two large parallel plane sheets have uniform charge densities

Asked by admin @ 20/08/2021 in Physics viewed by 314 People

Two large parallel plane sheets have uniform charge densities +sigma and -sigma. Determine the electric field (1) between the sheets, and (2) outside the sheets.

Answered by admin @ 20/08/2021

between the sheets :

electric field intensity due to left plate on A = $\frac{\sigma}{2\epsilon_0}$ away from the plate .

electric field intensity due to right plate on A = $\frac{\sigma}{2\epsilon_0}$ towards the plate.

so, net electric field at A = $\frac{\sigma}{2\epsilon_0}+\frac{\sigma}{2\epsilon_0}$

= $\frac{\sigma}{\epsilon_0}$

similarly, outside the sheets :

electric field due to left plate on B = $\frac{\sigma}{2\epsilon_0}$ away from the plate.

electric field due to right plate on B = $\frac{\sigma}{2\epsilon_0}$ toward the plate.

so, net electric field at B = $\frac{\sigma}{2\epsilon_0}-\frac{\sigma}{2\epsilon_0}=0$ .

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