Question

A charge $10\mu C$ is placed at the centre of a hemisphere of radius R = 10 cm as shown. The electric flux through the hemisphere (in MKS units) is

• A. $20\times 10^5$
• B. $10\times 10^5$
• C. $6\times 10^5$
• D. $2\times 10^5$

Answer 1

Answer: (C)

According to Gauss’s theorem
Electric flux through the sphere $=\frac{q}{{\epsilon }_0}$
$\therefore$ Electric flux through the hemisphere
$=\frac{1}{2}\frac{q}{{\epsilon }_0}$
$=\frac{10\times 10^{-6}}{2\times 8.854\times 10^{-12}}$
$=0.56\times 10^{6}N{m}^2{C}^{-1}$
$\approx 0.6\times 10^{6}N{m}^2{C}^{-1}$
$=6\times 10^{5}N{m}^2{C}^{-1}$