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The electric field intensity at a point between two parallel sheets with like charges of the same surface charge density $\sigma$ is

1. $\frac{\sigma}{2\varepsilon_0}$
2. $\frac{\sigma}{\varepsilon_0}$
3. Zero
4. $\frac{2\sigma}{\varepsilon_0}$

Correct answer: Zero

Solution

Each infinite sheet produces field $\sigma/(2\varepsilon_0)$ on either side. Between two like-charged sheets of equal surface charge density, these fields are equal in magnitude and opposite in direction. Hence they cancel, giving zero net field.

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