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A point charge +Q is placed at a distanc...

A point charge `+Q` is placed at a distance r form a small depole of dipole moment p as shown in the figure. The line joining the point charge Q to the centre of dpole is perpendicular to the dipole moment P. Which of the following statement (s) is/are true ?

A

The net electrostatics force on the dipole is zero

B

The electrostatics force on the dipole in `(Qp)/(4piepsilon_(0)r^(3))` and is acting along the dipole moment `vecp`.

C

Torque acting on dipole is `(Qp)/(4piepsilon_(0)r^(2))` in inward direction.

D

torque acting on the dipole is `(Qp)/(2piepsilon_(0)r^(2))` in inward direction.

Text Solution

Verified by Experts

The correct Answer is:
B, C

`F_("net")=2Fsintheta`
`=(Kqa)/((a^(2)+r^(2)))(a)/(sqrt(a^(2)+r^(2)))=(KQp)/((a^(2)+r^(3))^((3)/(2)))`
`=(Qp)/(4piepsi_(0)r^(3))`
`tau_(net)=2Fcosthetaxxa=(Qp)/(4piepsi_(0)r^(2))`
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