MCQ
Consider two infinitely large plane parallel conducting plates as shown below. The plates are uniformly charged with a surface charge density $+\sigma$ and $-2 \sigma$. The force experienced by a point charge + q placed at the mid point between two plates will be :
Image
  • A
    $\frac{\sigma q}{4 \in_0}$
  • $\frac{3 \sigma q}{2 \in_0}$
  • C
    $\frac{3 \sigma q}{4 \in_0}$
  • D
    $\frac{\sigma q}{2 \in_0}$

Answer

Correct option: B.
$\frac{3 \sigma q}{2 \in_0}$
(B) $\frac{3 \sigma q}{2 \in_0}$
Explanation:
Image
Final charge distribution will be
Image

$\therefore F _{ net }=\frac{3 \sigma}{2 \in_0} q$

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