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 ?
$(a)$ $A$ $:$ a corner of the cube.
$(b)$ $B$ $:$ midpoint of an edge of the cube.
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 ?
$(a)$ $A$ $:$ a corner of the cube.
$(b)$ $B$ $:$ midpoint of an edge of the cube.
$(a)$ Cube has $8$ corners. Charge on each corner $=\frac{q}{8 \times 1}=\frac{q}{8}$
$\therefore$ Electric flux at $\mathrm{A}$,
$\phi=\frac{q}{8 \epsilon_{0}}$
$(b)$ If the charge $q$ is placed at $B$, middle point of an edge of the cube, it is being shared equally by $4 $cubes.
$\therefore$ Flux through each cube,
$\phi=\frac{\phi^{\prime}}{4}=\frac{q}{4 \epsilon_{0}}$
Similar Questions
Consider a uniform electric field $E =3 \times 10^{3} i\; N / C .$
$(a)$ What is the flux of this field through a square of $10 \;cm$ on a side whose plane is parallel to the $y z$ plane?
$(b)$ What is the flux through the same square if the normal to its plane makes a $60^{\circ}$ angle with the $x -$axis?
Consider a uniform electric field $E =3 \times 10^{3} i\; N / C .$
$(a)$ What is the flux of this field through a square of $10 \;cm$ on a side whose plane is parallel to the $y z$ plane?
$(b)$ What is the flux through the same square if the normal to its plane makes a $60^{\circ}$ angle with the $x -$axis?
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