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  • A point charge of is at a distance 6 cm vertically above the center of a square of side 12 cm as shown in the figure. The magnitude of the elec

A point charge of +12\; \mu C is at a distance 6 cm vertically above the center of a square of side 12 cm as shown in the figure. The magnitude of the electric flux through the square will be _______\times 10^{3}Nm^{2}/C.
Option: 1 226
Option: 2 336
Option: 3 446
Option: 4 556

Answers (1)

best_answer

The above figure is a part of cube of side 12 cm and a charge at the centre,

Using Gauss law and due to symmetry

\begin{aligned} & \text{flux}=\phi =\frac{1}{6}\left(\frac{q}{\varepsilon_{0}}\right) = \frac{12 \times 10^{-6}}{6 \times 8.85 \times 10^{-12}}= 225.98 \times 10^{3} \simeq & 226 \times 10^{3} \frac{\mathrm{Nm}^{2}}{\mathrm{C}} \end{aligned}

 

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