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Three charges of magnitude q, 2q and 8q ...

Three charges of magnitude q, 2q and 8q are to be placed on a line of length 9 cm in such a way that the potential energy of the system of charges is minimum. Determine the positions of the charges.

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The correct Answer is:
q is to be placed between 8q and 2q, at a distance of 3 cm form 2q
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Knowledge Check

  • Three point charges each equal to q are placed on the vertices of an equilateral triangle of side l. The potential energy of the system is

    A
    `1/(4 pi epsilon_(0))(q^2)/(l)`
    B
    `1/(4 pi epsilon_(0))(2q^2)/(l)`
    C
    `1/(4 pi epsilon_(0))(3q^2)/(l)`
    D
    `1/(4 pi epsilon_(0))(4q^2)/(l)`

  • Two charges of equal amount +Q are placed on a line. Another charge q is placed at the mid-point of the line. The system will be in equilibrium if the value of q is

    A
    `-Q/4`
    B
    `-Q/2`
    C
    `+Q/2`
    D
    `+Q/4`

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