Electric Charges and Fields
272194
A uniformly charged conducting sphere of $4.4~m$ diameter has a surface charge density of $60\mu Cm$. . The charge on the sphere is
1 $7.3\times {{10}^{-3}}C$
2 $3.7\times {{10}^{-6}}C$
3 $7.3\times {{10}^{-6}}C$
4 $3.7\times {{10}^{-3}}C$
Explanation:
(d) Here, $D=2r=4.4~m$, or $=r=2.2~m$
$\sigma =60\mu Cm{{m}^{-2}}$
Charge on the sphere, $q=\sigma \times 4\pi {{r}^{2}}$
$=60\times {{10}^{-6}}\times 4\times \frac{22}{7}\times {{(2.2)}^{2}}=3.7\times {{10}^{-3}}C$