Two point charges and are placed at vertex A and centre of face CDEF of the cube as shown in the figure. The electric flux passing through the cube is: [2026]

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Solution

Q.
Two point charges $2 q$ and $q$ are placed at vertex A and centre of face CDEF of the cube as shown in the figure. The electric flux passing through the cube is: [2026]

1 $\frac{3 q}{2 ε_{0}}$

2 $\frac{q}{ε_{0}}$

3 $\frac{3 q}{4 ε_{0}}$

4 $\frac{3 q}{ε_{0}}$

Ans.
(3)

$ϕ = \frac{Q_{in}}{ε_{0}}$

$ϕ = \frac{\frac{q}{4} + \frac{q}{2}}{ε_{0}} = \frac{3 q}{4 ε_{0}}$

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