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CUET · PHYSICS · PYQ PAPER 2023

If \( +\sigma \) and \( -\sigma \) are the uniform surface charge densities of two parallel infinite thin plane sheets then the net electric field at the mid point of the two sheets will be given by (Where \( \epsilon_0 \) is the permittivity of free space, where the sheets are kept)

  1. A \( \frac{\sigma}{2\epsilon_0} \)
  2. B \( \frac{-\sigma}{\epsilon_0} \)
  3. C \( \frac{\sigma}{\epsilon_0} \)
  4. D Zero
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Answer & Solution

Correct Answer

(C) \( \frac{\sigma}{\epsilon_0} \)

Step-by-step Solution

Detailed explanation

\( E_+ = \frac{\sigma}{2\epsilon_0} \) \( E_- = \frac{\sigma}{2\epsilon_0} \) \( E_{net} = E_+ + E_- = \frac{\sigma}{2\epsilon_0} + \frac{\sigma}{2\epsilon_0} = \frac{\sigma}{\epsilon_0} \)
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