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Question

Physics Question on Electric Charge

A charge 10μC10 \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

20×10520\times10^{5}

B

10×10510\times10^{5}

C

6×1056\times10^{5}

D

2×1052\times10^{5}

Answer

6×1056\times10^{5}

Explanation

Solution

According to Gauss?s theorem Electric flux through the sphere =qε0=\frac{q}{\varepsilon_{0}} \therefore\, Electric flux through the hemisphere =12qε0=\frac{1}{2}\frac{q}{\varepsilon_{0}} =10×1062×8.854×1012=\frac{10\times10^{-6}}{2\times8.854\times10^{-12}} =0.56×106Nm2C1=0.56\times10^{6} Nm^{2}C^{-1} 0.6×106Nm2C1\approx0.6\times10^{6} Nm^{2} C^{-1} =6×105Nm2C1=6\times10^{5}Nm^{2}C^{-1}