The capacitance (in F) of a spherical conduct | vedclass

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(A) The capacitance $C$ of an isolated spherical conductor of radius $R$ is given by the formula: $C = 4\pi \epsilon_0 R$.We know that the value of th

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$1.1 	imes 10^{-10}$

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(A) The capacitance $C$ of an isolated spherical conductor of radius $R$ is given by the formula: $C = 4\pi \epsilon_0 R$.We know that the value of the Coulomb constant $k = \frac{1}{4\pi \epsilon_0} = 9 	imes 10^9 \, N \cdot m^2/C^2$.Therefore,$4\pi \epsilon_0 = \frac{1}{9 	imes 10^9} \, F/m$.Given $R = 1 \, m$,we substitute the values:$C = \frac{1}{9 	imes 10^9} 	imes 1 = 0.111 	imes 10^{-9} \, F = 1.11 	imes 10^{-10} \, F$.Thus,the correct option is $A$.

The capacitance (in $F$) of a spherical conductor with a radius of $1\, m$ is:

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