Q88 / 110 · VITEEE 2024 · Physics

Eight dipoles of charges of magnitude $e$ each are placed insidÃƒÂ© a cube. The total electric flux coming out of the cube will be

A
$\frac{8 e}{\varepsilon_0}$
B
$\frac{16 e}{\varepsilon_0}$
C
$\frac{e}{\varepsilon_0}$
Correct answer
D
zero

Solution

Net charges of one dipole $=-e+e=0$ Net charge of 8 dipoles $=8 \times 0=0$ $\Rightarrow$ Net charge inside cube $=0=q$ By Gauss' law, Total flux emerging from surface $=\frac{q}{\varepsilon_0}=\frac{0}{\varepsilon_0}=0$

Hence, the correct answer is option: 'D'.

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