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A point charge q is placed at the centre...

A point charge q is placed at the centre of a cube. What is the flux linked.
a with all the faces of the cube?
b. with each face of the cube?
c. if charge is not at the centre, then what will be the answer of parts a and b ?

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
a. According to Gauss's law,
`phi_("total")=q_"in"/epsilon_0=q/epsilon_0`
b. The cube is a symmetrical body with 6 faces and the point charge is at its centre, so electric flux linked with each face will be
`phi_("each face")=phi_"total"/6=q/(6epsilon_0)`
c. If charge is not at the centre, the answer of part a will remain same while that of part
b. will change.
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Knowledge Check

  • A charge is placed at the centre of cube of side a then flux linked with one of its given faces will be

    A
    `(Q)/(epsi_(0))`
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    `(Q)/(6epsi_(0))`
    C
    `(Q)/(epsi_(0)a^(2))`
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    `(Q)/(4piepsi_(0)a^(2))`

  • Charge of 2 C is placed at the centre of a cube. What is the electric flux passing through one face ?

    A
    `(1)/((3 epsi_(0)))`
    B
    `((1)/(4)) epsi_(0)`
    C
    `(2)/(epsi_(0))`
    D
    `(3)/(epsi_(0))`

  • A charge Q is situated at the corner of a cube the electric flux passed through all the six faces of the cube is :

    A
    `(Q)/(6 in_(0))`
    B
    `(Q)/(8 in_(0))`
    C
    `(Q)/(in_(0))`
    D
    `(Q)/(2 in_(0))`

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