Question 64 of 311

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 :

A$\frac{\sigma q}{4 \epsilon_0}$B$\frac{3 \sigma q}{2 \epsilon_0}$C$\frac{3 \sigma q}{4 \in_0}$D$\frac{\sigma q}{2 \epsilon_0}$

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Answer: (B) $\frac{3 \sigma q}{2 \epsilon_0}$

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