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Three charges of (+2q), (-q) and (-q) ar...

Three charges of `(+2q), (-q)` and `(-q)` are placed at the corners `A,B` and `C` of an equilateral triangle of side `a` as shown in the adjoining figure. Then the dipole moment of this combination is

A

`qa`

B

Zero

C

`qasqrt(3)`

D

`(2)/(sqrt(3))qa`

Text Solution

Verified by Experts

The correct Answer is:
C
The charge `+2q` can be broken in `+q, +q`. Now as shown in the figure we have two equal dipoles inclined at an anlge of `60^(@)`. Therefore resultant dipole moment will be
`P_(n et)= sqrt(P^(2)+P^(2)+2ppcos60^(@))`

`P_(n et)= sqrt(3)p= sqrt(3)qa`
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Knowledge Check

  • Three point charges of +2q , +2q and -4q are placed at the corners A, B and C of an equilateral triangle ABC of side x. The magnitude of the electric dipole moment of this system is

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    C
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    D
    `2sqrt3 qx`

  • Three point charges of +2q,+2q and -4q are placed at the corners A, B and C of an equilateral triangle ABC of side x. The magnitude of the electric dipole moment of this system is

    A
    2 qx
    B
    `3sqrt(2) qx`
    C
    3 qx
    D
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  • Three charges 2q, -q, and -q are located at the vertices of an equilateral triangle. At the center of the triangle,

    A
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    B
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    C
    both field and potential are zero.
    D
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