Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electric Charges and Fields

Question:

If $+σ$ and $-σ$ are the uniform surface charge densities of two parallel infinite thin plane sheets, then the net electric field at the midpoint of the two sheets will be given by. (Where $ε_0$ is the permittivity of free pace, where the sheets are kept)

Options:

$\frac{σ}{2ε_0}$

$\frac{-σ}{ε_0}$

$\frac{σ}{ε_0}$

Zero

Correct Answer:

$\frac{σ}{ε_0}$

Explanation:

Electric field at mid point of the sheet is in the same direction due to both the plates.

$ E = \frac{\sigma}{2\epsilon_0} + \frac{\sigma}{2\epsilon_0} = \frac{\sigma}{\epsilon_0}$

The correct answer is Option (3) → $\frac{σ}{ε_0}$