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Electric Flux Passing Through a Cube A c...

Electric Flux Passing Through a Cube A charge q is placed at the centre of a cube of side l. What is the electric flux passing through each face of the cube ?

Text Solution

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By Gauss. theorem total electric flux linked with a closed surface is given by
`phi=(q)/(epsilon_(0))`
where, q is the total charge enclosed by the closed surface
`:.` Total electric flux linked with cube, `phi=(q)/(epsilon_(0))`
As charge is at centre, therefore electric flux is symmetrically distributed through all 6 faces.
Flux linked with each face `(1)/(6)phi=(1)/(6)xx(q)/(epsilon_(0))=(q)/(6epsilon_(0))`
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Knowledge Check

  • A charge + q is placed at the mid point of a cube of side L. The electric flux emerging from cube is

    A
    `qepsi_(0)`
    B
    `q//epsi_(0)`
    C
    `qL^(2)`
    D
    `6qL^(2)`
  • A charge + q is placed at the mid point of a cube of side L. The electric flux emerging from cube is

    A
    `qepsi_(0)`
    B
    `q//epsi_(0)`
    C
    `qL^(2)`
    D
    `6qL^(2)`
  • A point charge + q is placed at the mid-point of a cube of side l.The electric flux emerging from the cube is :

    A
    Zero
    B
    `q/epsilon_0`
    C
    `(6ql^2)/epsilon_0`
    D
    `q/(6l^2 epsilon_0`
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