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QPages 165-170: Q61: HC Verma: Concepts of Physics - Volume 2 Capacitors Pages 165-170: Q61 Solution: A spherical capacitor is made of two conducting spherical…

A spherical capacitor is made of two conducting spherical shells of radii a and b. The space between the shells is filled with a dielectric of dielectric constant K up to a radius c as shown in figure. Calculate the capacitance.

Step-by-Step Verified Solution

**Answer:** C=4πϵ01/a−1/b+(1/K)(1/c−1/b)C = \frac{4\pi\epsilon_0}{1/a - 1/b + (1/K)(1/c - 1/b)}. **Step-BY-STEP Explanation:** The space between shells is divided into two regions: one with dielectric (from aa to cc) and one without (from cc to bb). They are in series.
C=4πϵ01/a−1/b+(1/K)(1/c−1/b)C = \frac{4\pi\epsilon_0}{1/a - 1/b + (1/K)(1/c - 1/b)}

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