If two infinite plane sheets having same surf | vedclass

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Question

(A) The electric field due to an infinite plane sheet of charge with surface charge density $\sigma$ is given by $E = \frac{\sigma}{2 \varepsilon_0}$.

Vedclass · Accepted Answer

Zero

Vedclass · Answer

(A) The electric field due to an infinite plane sheet of charge with surface charge density $\sigma$ is given by $E = \frac{\sigma}{2 \varepsilon_0}$.For two parallel sheets with the same positive surface charge density $\sigma$,the electric field produced by sheet $1$ $(E_1)$ points away from it (to the right in the region between the sheets),and the electric field produced by sheet $2$ $(E_2)$ points away from it (to the left in the region between the sheets).In the region between the two sheets,the net electric field is the vector sum of the two fields:$E_{net} = E_1 - E_2$Since both sheets have the same surface charge density $\sigma$,$E_1 = E_2 = \frac{\sigma}{2 \varepsilon_0}$.Therefore,$E_{net} = \frac{\sigma}{2 \varepsilon_0} - \frac{\sigma}{2 \varepsilon_0} = 0$.Thus,the electric field between the two sheets is zero.

If two infinite plane sheets having same surface charge density $\sigma$ are placed parallel to each other,then the electric field between the two sheets is . . . . . . .

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