Two infinitely long parallel conducting plates having surface charge densities $+\sigma$ and $-\sigma$…

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
  1. zero
  2. $\frac{\sigma}{2 \varepsilon_{0}}$ volts/meter
  3. $\frac{\sigma}{\varepsilon_{0}}$ volts/meter
  4. $\frac{2 \sigma}{\varepsilon_{0}}$ volts/meter

Solution

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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Asked in: JEE Mains - Capacitance - Test 2

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