Question

A uniformly charged conducting sphere of $4.4m$ diameter has a surface charge density of $60\mu C$ $m^{-2}$.
The charge on the sphere is then

• A. $7.3\times {10}^{-3}C$
• B. $3.7\times {10}^{-6}C$
• C. $7.3\times {10}^{-6}C$
• D. $3.7\times {10}^{-3}C$

Answer 1

Answer: (D)

$3.7\times {10}^{-3}C$

Here $D=2r=4.4m,r=2.2m,\sigma =60\mu C{m}^{-2}$
Charge on the sphere, $q=\sigma \times 4\pi r^2=60\times {10}^{-6}\times 4\times \frac{22}{7}\times {\left(2.2\right)}^2=3.7\times {10}^{-3}C$