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Six charge of magnitude +q and -q are fi...

Six charge of magnitude `+q` and `-q` are fixed at the corners of a regular hexagon of edge length a as shown in the figure .The electrostatic interaction energy of the charged particle is :

A

`q^(2)/(pi in_(0) a) [sqrt(3)/8-15/4]`

B

`q^(2)/(pi in_(0)a ) [sqrt(3)/2-9/4]`

C

`q^(2)/(pi in_(0) a) [sqrt(3)/4-15/2]`

D

`q^(2)/(pi in_(0) a) [sqrt(3)/2-15/8]`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Six charge of magnitude +q and -q are fixed at the cornors of a regular hexagon of edge at the cornors of a regular hexagon of edge length a as shown in the figure .The electrostatic interaction energy of the charged particle is :

    A
    `(q^(2))/(piepsilon_(0)a)[(sqrt(3))/(8)-(15)/(4)]`
    B
    `(q^(2))/(piepsilon_(0)a)[(sqrt(3))/(2)-(9)/(4)]`
    C
    `(q^(2))/(piepsilon_(0)a)[(sqrt(3))/(4)-(15)/(2)]`
    D
    `(q^(2))/(piepsilon_(0)a)[(sqrt(3))/(2)-(15)/(8)]`
  • Three charges Q, (+q) and (+q) are placed at the vertices of an equilateral triangle of side l as shown in the figure. It the net electrostatic energy of the system is zero, then Q is equal to

    A
    `(-(q)/(2))`
    B
    `(-q)`
    C
    `(+q)`
    D
    Zero
  • Five identical point charges +Q are placed at the five corners of a regular hexagon of edge length a. One corner is empty. Electric field intensity at the centre of the hexagon is

    A
    Zero
    B
    `Q/(4piepsilon_0d^2)`, towards the empty corner
    C
    `Q/(4piepsilon_0d^2)`, away from the empty corner
    D
    `(5Q)/(4piepsilon_0a^2)` towards the empty corner
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