The radii of a spherical capacitor are 0.5 m | vedclass

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(B) The capacitance $C$ of a spherical capacitor with radii $a$ and $b$ (where $b > a$) filled with a dielectric of constant $k$ is given by the formu

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$2 	imes 10^{-9} \ F$

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(B) The capacitance $C$ of a spherical capacitor with radii $a$ and $b$ (where $b > a$) filled with a dielectric of constant $k$ is given by the formula:$C = \frac{4\pi \epsilon_0 k ab}{b - a}$Given: $a = 0.5 \ m$,$b = 0.6 \ m$,$k = 6$,and $\frac{1}{4\pi \epsilon_0} = 9 	imes 10^9 \ N \ m^2/C^2$.Substituting the values:$C = \frac{6 	imes 0.5 	imes 0.6}{9 	imes 10^9 	imes (0.6 - 0.5)}$$C = \frac{1.8}{9 	imes 10^9 	imes 0.1}$$C = \frac{1.8}{0.9 	imes 10^9}$$C = 2 	imes 10^{-9} \ F$.

The radii of a spherical capacitor are $0.5 \ m$ and $0.6 \ m$. If the space between them is filled with a dielectric medium of dielectric constant $6$,what will be the capacitance of the capacitor?

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