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Physics · Electrostatic Potential

हिन्दी

Two large, flat conducting plates carry uniform surface charge densities \( +\sigma \) and \( -\sigma \). What are the values of the electric field in the outer region (above the positively charged plate) and in the inner region between the plates?

  1. \( \frac{\sigma}{\varepsilon_0} \) and \( 0 \)
  2. \( \frac{\sigma}{2\varepsilon_0} \) and \( \frac{\sigma}{\varepsilon_0} \)
  3. \( 0 \) and \( \frac{\sigma}{\varepsilon_0} \)
  4. \( 0 \) and \( \frac{\sigma}{2\varepsilon_0} \)

Correct answer · Option 3

\( 0 \) and \( \frac{\sigma}{\varepsilon_0} \)

Explanation

In the outer region, the opposing fields cancel: \( E = \frac{\sigma}{2\varepsilon_0} - \frac{\sigma}{2\varepsilon_0} = 0 \). In the inner region, the fields add up: \( E = \frac{\sigma}{2\varepsilon_0} + \frac{\sigma}{2\varepsilon_0} = \frac{\sigma}{\varepsilon_0} \).
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