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Calculate the capacitance of a spherical capacitor consisting of two concentric spheres of radii $0.50\; m$ and $0.60\; m$. The material filled in the space between the two spheres has a dielectric constant of 6.

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Here $C=?, r_a= 0.50 \;m,r_b =0.60 \;m,K=6$
$C= KC_0 =K =\large\frac{4 \pi \in_0 r_ar_b}{r_a-r_b}$
$\quad= \large\frac{6 }{9 \times 10^9} \frac{(0.5) (0.6) }{(0.6-0.5)}$
$\quad= 2 \times 10^{-9}F$
Hence A is the correct answer.
answered Jun 13, 2014 by meena.p

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