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What will be the total flux through the ...

What will be the total flux through the face of the cube with side of length a if a charge q is placed at center of a face of the cube ?

Text Solution

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when q is placed at point C, it is shared by 2 cubes , `phi=(q/2)/epsilon_@=q/(2 epsilon_@)`
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Knowledge Check

  • If identical charges (-q) are placed at each corner of a cube of side b, then electric potential energy of charge (+q) which is placed at centre of the cube will be …………..

    A
    `-('4q^(2))/(sqrt(3)piin_(0)b)`
    B
    `(8sqrt(2)q^(2))/(4piin_(0)b)`
    C
    `(-8sqrt(2)q^(2))/(piin_(0)b)`
    D
    `(-4sqrt(2)q^(2))/(4piin_(0)b)`

  • Four charges, each equal to -Q , are placed at the corners of a square of side a and a charge +q is placed at its centre. If the system is in equilibrium, the value of q is ………………

    A
    `(Q)/(4)(1+2sqrt(2))`
    B
    `-(Q)/(2)(1+2sqrt(2))`
    C
    `-(Q)/(2)(1+2sqrt(2))`
    D
    `(Q)/(2)(1+2sqrt(2))`

  • A charge 'q' is enclosed in a cube. What is the electric flux associated with one of the faces of the cube ?

    A
    `epsilon_0/q`
    B
    `q/epsilon_0`
    C
    `(6q)/epsilon_0`
    D
    `q/(6epsilon_0)`

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