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Three charges are arranged on the vertic...

Three charges are arranged on the vertices of an equilateral triangle as shown in figure (29.E6) find the dipole moment of the combination.

Text Solution

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The correct Answer is:
`Qasqrt(3)`, along the bisector of the angle at `-2Q`, towards the triangle
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Knowledge Check

  • 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`

  • Three charges are placed at the three vertices of an equilateral triangle of side ‘a’ as shown in the figure. The force experienced by the charge placed at the vertex A in a direction normal to BC is

    A
    `(Q^(2))/(4piepsilon_(0)a^(2))`
    B
    `-(Q^(2))/(4piepsilon_(0)a^(2))`
    C
    zero
    D
    `(Q^(2))/(2piepsilon_(0)a^(2))`

  • Three identical point charges, q, are placed at the vertices of an equilateral triangle as shown in the figure. The length of each side of the triangle is d. Determine the magnitude and direction of the total electrostatic force on the charge at the top of the triangle.

    A
    `(Q^(2)sqrt(3))/(4pi epsilon_(0) d^(2))`, directed upward
    B
    `(Q^(2)sqrt(3))/(4pi epsilon_(0) d^(2))`, directed downward
    C
    `(Q^(2)sqrt(3))/(2pi epsilon_(0) d^(2))`, directed upward
    D
    `(Q^(2)sqrt(3))/(2pi epsilon_(0) d^(2))`, directed downward

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    Three charges +q, +q and -2q are placed at the vertices of an equilareral triagle. What is the dipole moment of the system?

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