In a cuboid of dimensions 2L x 2L x L, a tiny ball having charge q is placed at the centre of the face having area 4L2. The flux through a face having area 2L2 is

Question

In a cuboid of dimensions $2 L \times 2 L \times L$ , a tiny ball having charge $q$ is placed at the centre of the face having area $4 L^{2}$ . The flux through a face having area $2 L^{2}$ is

Smart Achievers · Accepted Answer

(1)

$ϕ = (\frac{q}{2 ε_{0}} - \frac{q}{6 ε_{0}}) \times \frac{1}{4} = \frac{q}{12 ε_{0}}$

Solution

Q.
In a cuboid of dimensions $2 L \times 2 L \times L$ , a tiny ball having charge $q$ is placed at the centre of the face having area $4 L^{2}$ . The flux through a face having area $2 L^{2}$ is

1 $\frac{q}{12 ε_{0}}$

2 $\frac{q}{3 ε_{0}}$

3 $\frac{q}{2 ε_{0}}$

4 $\frac{q}{6 ε_{0}}$

Ans.
(1)

$ϕ = (\frac{q}{2 ε_{0}} - \frac{q}{6 ε_{0}}) \times \frac{1}{4} = \frac{q}{12 ε_{0}}$

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Solution

Q. In a cuboid of dimensions 2L×2L×L, a tiny ball having charge q is placed at the centre of the face having area 4L2. The flux through a face having area 2L2 is

1 q12ε0

2 q3ε0

3 q2ε0

4 q6ε0

Ans. (1) ϕ=(q2ε0-q6ε0)×14=q12ε0