What will be the total flux through the faces of the cube as in figure with side of length $'a'$ if a charge $'q'$ is placed at ?
$(a)$ $C$ $:$ centre of a face of the cube.
$(b)$ $D$ $:$ midpoint of $B$ and $C$.
What will be the total flux through the faces of the cube as in figure with side of length $'a'$ if a charge $'q'$ is placed at ?
$(a)$ $C$ $:$ centre of a face of the cube.
$(b)$ $D$ $:$ midpoint of $B$ and $C$.
$(a)$ If the charge $q$ is placed at $\mathrm{C}$, the centre of a face of the cube, it is being shared equally by 2 cubes.
$\therefore$ Flux through each cube,
$\phi=\frac{\phi^{\prime}}{\epsilon_{0}}=\frac{q}{2 \epsilon_{0}}$
$(b)$ Finally, if charge $q$ is placed at $\mathrm{D}$, the midpoint of $\mathrm{B}$ and $\mathrm{C}$, it is being shared equally by 2 cubes. $\therefore$ Flux through each cube,
$\phi=\frac{\phi^{\prime}}{\epsilon_{0}}=\frac{q}{2 \epsilon_{0}}$
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