Question

Two infinitely long, parallel conducting densities +$\sigma$ and -$\sigma$ , respectively are the plates in vacuum. If ${\epsilon }_0$ is the dielectric permittivity of vacuum, then the electric field in the region between the plates is

• A. (a) 0 V/m
• B. (b) $\frac{\sigma }{2{\epsilon }_0}$ V/m
• C. (c) $\frac{\sigma }{{\epsilon }_0}$ V/m
• D. (d) $\frac{2\sigma }{{\epsilon }_0}$ V/m

Answer 1

The correct option is C (c) $\frac{\sigma }{{\epsilon }_0}$ V/m

Two infinitely long, parallel conducting densities, $6^{+}$ and $-6$ respectively.

Dielectric permittivity= ${ϵ}_o$ (in vacuum)

Then the electric field in the region between the plate

$E=\frac{\sigma }{{ϵ}_o}v/m$ (Using Gauss's principle) .