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  4. A point charge of +12 μ C is at a distance 6 cm vertically above the centre of a square of side 12 cm as shown in figure. The magnitude of the electric flux through the square will be× 103 Nm 2 / C.

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Q. A point charge of $+12 \mu C$ is at a distance $6 cm$ vertically above the centre of a square of side $12 cm$ as shown in figure. The magnitude of the electric flux through the square will be_______$\times 10^{3} Nm ^{2} / C$.Physics Question Image

JEE MainJEE Main 2021Electric Charges and Fields

Solution:

From symmetry $\phi =\frac{1}{6}\left(\frac{ q }{\varepsilon_{0}}\right)$
$=\frac{12 \times 10^{-6}}{6 \times 8.85 \times 10^{-12}}$
$=225.98 \times 10^{3} \frac{ Nm ^{2}}{ s }$
$\simeq 226 \times 10^{3} \frac{ Nm ^{2}}{ C}$