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Six negative equal charge are placed at ...

Six negative equal charge are placed at the vertical of a regular hexagon . 6q charge is placed at the centre of the hexagon . Find the electric dipole moment of the system.

A

zero

B

6qa

C

3qa

D

qa

Text Solution

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The correct Answer is:
A
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(a) Six equal charges have been placed at the vertices of a regular hexagon. Charge at vertex A is moved to the centre of the hexagon and there it experiences a net electrostatic force of magnitude F. Charge at E is also moved to the centre so as to double the magnitude of the charge at the centre. Calculate the magnitude of the electrostatic force that this central charge experiences now. (b) Three charges of equal magnitude lie on the vertices of an equilateral triangle ABC. All of them are released simultaneously. The charge at A experiences initial acceleration along AD where D is the midpoint of the side BC. Find the direction of initial acceleration of the charge at B.

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Knowledge Check

  • Five point charges, +q each are placed at the five vertices of a regular hexagon. The distance of the center of the hexagon from any fo the vertices is a. the electric field at the center of the hexagon is

    A
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    B
    `(q)/(8 pi epsilon_(0)a^(2))`
    C
    `(q)/(16 pi epsilon_(0)a^(2))`
    D
    zero

  • Assertion : Five charges +q each are placed at five vertices of a regular pentagon. A sixth xharge -Q is placed at the centre of pentagon. Then, net electrostatic force on -Q is zero. Reason : Net electrostatic potential at the centre is zero.

    A
    If both Assertion and Reason are true and Reason is the correct explanation of Assertion.
    B
    If both Assertion and Reason are true but Reason is not correct explanation of Assertion.
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    If Assertion is true but Reason is false.
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    If Assertion is false but Reason is true.

  • Six charges are placed at the corner of a regurlar hexagon as shown . If an electron is placed at its centre O, force on it will be :

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    B
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    D
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