Two infinitely long parallel conducting plates having surface cha… - Vidyadip

MCQ

Two infinitely long parallel conducting plates having surface charge densities $ + \sigma $ and $ - \sigma $ respectively, are separated by a small distance. The medium between the plates is vacuum. If ${\varepsilon _0}$ is the dielectric permittivity of vacuum, then the electric field in the region between the plates is

A
$0\,volts/meter$
B
$\frac{\sigma }{{2{\varepsilon _o}}} volts/meter$
✓
$\frac{\sigma }{{{\varepsilon _o}}} volts/meter$
D
$\frac{{2\sigma }}{{{\varepsilon _o}}} volts/meter$

✓

Answer

Correct option: C.

$\frac{\sigma }{{{\varepsilon _o}}} volts/meter$

c
(c) Electric field between the plates is
$ = \frac{\sigma }{{2{\varepsilon _0}}} - \frac{{( - \sigma )}}{{2{\varepsilon _0}}}$
$ = \frac{\sigma }{{{\varepsilon _0}}}\,volt/meter$

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