Question

A uniformly charged conducting sphere of \(0.2\,\text{m}\) diameter has a surface charge density of \(70\,\mu \text{C m}^{-2}\). The electric flux leaving the surface of the sphere is:

• A. \(9.9 \times 10^{5}\,\text{N C}^{-1}\text{m}^2\)
• B. \(9.9 \times 10^{6}\,\text{N C}^{-1}\text{m}^2\)
• C. \(8.9 \times 10^{5}\,\text{N C}^{-1}\text{m}^2\)
• D. \(8.9 \times 10^{6}\,\text{N C}^{-1}\text{m}^2\)

Hint:

Use Gauss’s law: \(\Phi = \frac{Q}{\varepsilon_0}\). Always compute total charge using surface area for surface charge density problems.

Answer 1

The Correct Option is A