Verified Solution • 2025–26 Session moderate

QPages 165-170: Q66: HC Verma: Concepts of Physics - Volume 2 Capacitors Pages 165-170: Q66 Solution: Consider the situation shown in figure. The width of each plate …

Consider the situation shown in figure. The width of each plate is b. The capacitor plates are rigidly clamped in the laboratory and connected to a battery of emf ε\varepsilon. All surfaces are frictionless. Calculate the value of M for which the dielectric slab will stay in equilibrium.

Step-by-Step Verified Solution

**Answer:** M=ϵ0bV22gdM = \frac{\epsilon_0 b V^2}{2gd}. **Step-BY-STEP Explanation:** The force on the dielectric must balance the weight of the mass M.
Mg=ϵ0bV22d⇒M=ϵ0bV22gdMg = \frac{\epsilon_0 b V^2}{2d} \Rightarrow M = \frac{\epsilon_0 b V^2}{2gd}

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