Home
Class 12
PHYSICS
An electrtic dipole with dipole moment ...

An electrtic dipole with dipole moment `4xx10^(-9) C m` is aligned at `30^(@)` with the direction of a uniform electric field of magnitude `5xx10^(4) NC^(-1)`. Calculate the magnitude of the torque acting on the dipole .

Text Solution

Verified by Experts

Electric dipole moment, `p = 4 × 10^(−9) C m`
Angle made by p with a uniform electric field, `theta = 30^(@)`
Electric field,` E = 5 × 10^(4) N C^(−1)`
Torque acting on the dipole is given by the relation,
`T = pE sin theta`
`= 4 xx 10^(-9) xx 5 xx10 ^(4) xx sin 30`
`= 20 xx 10 ^(-5) xx (1)//(2)`
`=10^(-4) Nm`
Therefore, the magnitude of the torque acting on the dipole is `10^(−4) N m`.
Promotional Banner

Similar Questions

Explore conceptually related problems

An uniform electric field of magnitude 5 xx 10^(4) NC^(-1) has a dipole of dipole moment 4xx 10^(-9) cm aligned at 30^(@) with the direction of field. Calculate the magnitude of torque acting on the dipole:

An electric dipole of length 10cm having charges +- 6xx10^(-3) C , placed at 30^(@) with respect to a uniform electric field experiences a torque of magnitude 6 sqrt(3) N-m . Calculate (i) magnitude of electric field (ii) the potential energy of dipole.

An electric dipole experiences a torque of 10sqrt3 Nm, when placed at an angle of 60^@ with a uniform electric field of magnitude 10^3 NC^(-1) Calculate the charge on the dipole if its length is 3 cm.

A magnetised needle of magnetic moment 4*8xx10^-2JT^-1 is placed at 30^@ with the direction of uniform magnetic field of magnitude 3xx10^-2T . What is the torque acting on the needle?

An electric dipole in a uniform electric field has potential energy U. The magnitude of the torque acting on the dipole due to the field is tau .

An electric dipole of dipole moment 4xx10^(-5) Cm is placed in a uniform electric field of 10^(-3) N//C making an angle of 30^(@) with the direction of the field. Determine the torque exerted by the electric field on the dipole.

An electric dipole of moment 5xx10^(-8) C-m is aligned in a uniform electric field of 1*44xx10^(4) N//C . Calculate potenitial energy of the diople at 60^(@) with the direction of electric field.