Question

A uniformly charged cube of side one cm having surface charge density of $8.85\ \mu C\text{ cm}^{-2}$ is placed inside a hollow metal sphere. The total flux emerging out of the sphere in $\text{Nm}^{2}\text{C}^{-1}$ is ($\epsilon_{0}=8.85\times 10^{-12}\text{C}^{2}\text{N}^{-1}\text{m}^{-2}$)

• A. $8.85\times 10^{6}$
• B. $12\times 10^{6}$
• C. $19.7\times 10^{6}$
• D. $3\times 10^{6}$
• E. $6\times 10^{6}$

Hint:

Logic Tip: Notice how the units of $\sigma$ are given in $\mu C\text{ cm}^{-2}$ and the side is in $\text{cm}$. You don't need to convert the area to square meters because the $\text{cm}^2$ units naturally cancel out when calculating total charge!

Answer 1

Answer: (E)