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Question: A point charge 4 \(\mu C\) is at the centre of a cubic Gaussian surface 10 cm on edge. Net electric ...

A point charge 4 μC\mu C is at the centre of a cubic Gaussian surface 10 cm on edge. Net electric flux through the surface is.

A

2.5×105Nm2C−12.5 \times 10^{5}Nm^{2}C^{- 1}

B

4.5×105Nm2C−14.5 \times 10^{5}Nm^{2}C^{- 1}

C

4.5×106Nm2C−14.5 \times 10^{6}Nm^{2}C^{- 1}

D

2.5×106Nm2C−12.5 \times 10^{6}Nm^{2}C^{- 1}

Answer

4.5×105Nm2C−14.5 \times 10^{5}Nm^{2}C^{- 1}

Explanation

Solution

: Here,)

q=4μC=4×10−6C,l=10cm=10×10−2mq = 4\mu C = 4 \times 10^{- 6}C,l = 10cm = 10 \times 10^{- 2}m

φ=qε0=4×10−68.85×10−12=4.5×105Nm2C−1\varphi = \frac{q}{\varepsilon_{0}} = \frac{4 \times 10^{- 6}}{8.85 \times 10^{- 12}} = 4.5 \times 10^{5}Nm^{2}C^{- 1}