Question

An electric dipole of length 1cm, which places with its axis making an angle of `60^(@)` with uniform electric field, experience a torque ot `6sqrt3Nm`, Calculate potential energy.

Answer 1

Torque, `tau=pE" "sin theta=ql sin theta" …(i)"`
Here, l is the length of the dipole, q-is the charge and E is the electric field.
`" "U=-pE cos theta =-qlE cos theta" ...(ii)"`
Dividing (ii) by (i):
`U=-tau cos theta`
`rArr" "=-6sqrt3 xx cot60^(@)rArr = -6sqrt3xx(1)/(sqrt3=-6J.`