Consider two infinitely large plane parallel conducting plates as shown below. The plates are uniformly…

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 :
  1. $\frac{\sigma q}{4 \epsilon_0}$
  2. $\frac{3 \sigma q}{2 \epsilon_0}$
  3. $\frac{3 \sigma q}{4 \in_0}$
  4. $\frac{\sigma q}{2 \epsilon_0}$

Solution


Final charge distribution will be
$\therefore \mathrm{F}_{\mathrm{net}}=\frac{3 \sigma}{2 \epsilon_0} \mathrm{q}$

Asked in: JEE Main 2025 (02 Apr Shift 1)

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