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Six point charges (each of magnitude Q) ...

Six point charges (each of magnitude Q) are placed on the six vertices of a cube of side x such that two adjacent vertices are vacant. Electrostatic field intensity at the centre of the cube is `(k=1/(4pi epsilon_0))`

A

`(4sqrt2)/sqrt3 (kQ)/x^2`

B

`(8sqrt2)/(5sqrt3) (kQ)/x^2`

C

`(8sqrt2)/(3sqrt3) (kQ)/x^2`

D

`(4sqrt2)/(5sqrt3) (kQ)/x^2`

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Knowledge Check

  • Five point charges each of charge + q are placed on five vertices of a regular of side h as shown in the figure. Then

    A
    the forces on (-q) at O due to charges +q at A and D are balanced.
    B
    the forces on (-q) due to charges at D and E are balanced.
    C
    The resultant force on ` -q " at "O" is "1/(4 pi epsilon_(0))q^(2)/h^(2)` along OE.
    D
    The resultant force on - q at O is `1/(4piepsilon_(0))q^(2)/h^(2)` along OC.

  • Five point charge ( +q each) are placed at the five vertices of a regular hexagon of side 2a .what is the magnitude of the net electric field at the centre of the hexazon?

    A
    `1/(4piepsilon_0)q/a^2`
    B
    `q/(16 piepsilon_0a^2)`
    C
    `(sqrt2q)/(4piepsilon_0a^2)`
    D
    `(5q)/(16piepsilon_0a^2)`

  • Three point charges each of value + q are placed on three vertices of a square of side a metre. What is the magnitude of the force on a point charge of value -q coulomb placed at the centre of the square?

    A
    `(1/(4piepsilon_0))(q/a)^2`
    B
    `(1/(2piepsilon_0))((2q)/a)^2`
    C
    `(1/(2piepsilon_0))(q/a)^2`
    D
    `(1/(4piepsilon_0))((2q)/a)^2`

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