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QPages 165-170: Q65: HC Verma: Concepts of Physics - Volume 2 Capacitors Pages 165-170: Q65 Solution: A parallel-plate capacitor with the plate area and the…

A parallel-plate capacitor with the plate area 100 cm2100 \text{ cm}^2 and the separation between the plates 1.0 cm is connected across a battery of emf 24 volts. Find the force of attraction between the plates.

Step-by-Step Verified Solution

**Answer:** F=2.1×10−3F = 2.1 \times 10^{-3} N. **Step-by-Step Explanation:** A=100A = 100 cm_ =0.01= 0.01 m_, d=1.0d = 1.0 cm =0.01= 0.01 m, V=24V = 24 V.
F=ϵ0AV22d2=8.854×10−12×0.01×2422×(0.01)2=2.1×10−3 NF = \frac{\epsilon_0 A V^2}{2d^2} = \frac{8.854 \times 10^{-12} \times 0.01 \times 24^2}{2 \times (0.01)^2} = 2.1 \times 10^{-3} \text{ N}

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