Question

A uniformly charged conducting sphere of $2.4\, m$ diameter has a surface charge density of $80.0\, \mu \,Cm ^{-2}$.
What is the total electric flux leaving the surface of the sphere?

• A. $0.8 \times 10^{4} Nm ^{2} / C$
• B. $1.6 \times 10^{4} Nm ^{2} / C$
• C. $0.8 \times 10^{8} Nm ^{2} / C$
• D. $1.6 \times 10^{8} Nm ^{2} / C$

Answer 1

Answer: (D)

Total flux leaving the surface, $\phi=\frac{\text { Total charge }}{\varepsilon_{0}}$
$\phi=\frac{q}{\varepsilon_{0}}=\frac{1.45 \times 10^{-3}}{8.854 \times 10^{-12}}$
$\phi=1.6 \times 10^{8}\, N - m ^{2} / C$