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Two infinite plane parallel sheets separated by a distance $d$ have equal and opposite uniform charge densities $\sigma$. The electric field at a point between the sheets is

1. Zero
2. $\dfrac{\sigma}{\varepsilon_0}$
3. $\dfrac{\sigma}{2\varepsilon_0}$
4. Depends upon the location of the point

Correct answer: $\dfrac{\sigma}{\varepsilon_0}$

Solution

The electric field due to one infinite sheet of charge is $\sigma/(2\varepsilon_0)$ on each side. Between two parallel sheets with equal and opposite charge densities, the fields add up in the region between them.

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