The capacitance of a single isolated spherical conductor withradius R is proportional to a) R b) R^{2} c) \frac{1}{R} d) \frac{1}{R^{2}}

The capacitance of a single isolated spherical conductor withradius R is proportional to a) R b) R^{2} c) \frac{1}{R} d) \frac{1}{R^{2}}

Solid Geometry
asked 2020-10-26
The capacitance of a single isolated spherical conductor withradius R is proportional to
a) \(\displaystyle{R}\)
b) \(\displaystyle{R}^{{{2}}}\)
c) \(\displaystyle{\frac{{{1}}}{{{R}}}}\)
d) \(\displaystyle{\frac{{{1}}}{{{R}^{{{2}}}}}}\)

Answers (1)

Capacitnce of a single islolated spherical candurctor with radius R
C=4 \pi \epsilon_{0}R
\Rightarrow C\propto R
So capacitance is directly propertional to R.

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