Question

Statement I: The force with which one plate of a parallel plate capacitor is attracted towards the other plate is equal to square of surface density per $\varepsilon$ per unit area.
Statement II: The electric field due to one charged plate of the capacitor at the location of the other is equal to surface density per $\varepsilon$.

• A. If both statements are true and statement II is the correct explanation of statement I.
• B. If both statements are true but statement II is not the correct explanation of statement I.
• C. If statement I is true but statement II is false.
• D. If both statements are false.

Answer 1

Answer: (D)

The electric field due to one charged plate at the location of the other is $E=\sigma / 2 \varepsilon_{0}$ and the force per unit area is $F=\sigma E=\sigma^{2} / 2 \varepsilon_{0}$.