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A magnetic dipole in a constant magnetic field has:
- a)maximum potential energy when the torque is maximum
- b)zero potential energy when the torque is minimum
- c)zero potential energy when the torque is maximum
- d)minimum potential energy when the torque is maximum
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A magnetic dipole in a constant magneticfield has:a)maximum potential ...
PE = – PE cos θ
τ = PE sin θ
τmax when θ = 90°
PE = 0
τ = PE sin θ
τmax when θ = 90°
PE = 0
Most Upvoted Answer
A magnetic dipole in a constant magneticfield has:a)maximum potential ...
Explanation:
When a magnetic dipole is placed in a constant magnetic field, it experiences a torque due to the interaction between the dipole moment and the magnetic field. The potential energy of the magnetic dipole depends on its orientation with respect to the magnetic field.
Definition of Potential Energy:
The potential energy of a system is defined as the energy associated with the configuration of the system. In this case, the potential energy of the magnetic dipole is related to its orientation with respect to the magnetic field.
Relation between Torque and Potential Energy:
The torque experienced by a magnetic dipole in a magnetic field is given by the equation:
τ = m x B
where τ is the torque, m is the magnetic dipole moment, and B is the magnetic field.
The potential energy associated with the magnetic dipole in the magnetic field is given by the equation:
U = -m · B
where U is the potential energy.
Relation between Torque and Potential Energy:
The torque experienced by the magnetic dipole is maximum when the dipole moment is perpendicular to the magnetic field. In this case, the torque is given by:
τ = mB
On the other hand, when the torque is minimum, the dipole moment is parallel or antiparallel to the magnetic field. In both cases, the torque is zero.
Relation between Potential Energy and Torque:
The potential energy of the magnetic dipole is maximum when the dipole moment is parallel or antiparallel to the magnetic field. In these orientations, the potential energy is given by:
U = -mB
Therefore, the potential energy is zero when the torque is minimum.
Conclusion:
Based on the above analysis, we can conclude that the potential energy of a magnetic dipole in a constant magnetic field is zero when the torque is minimum. Therefore, the correct answer is option B.
When a magnetic dipole is placed in a constant magnetic field, it experiences a torque due to the interaction between the dipole moment and the magnetic field. The potential energy of the magnetic dipole depends on its orientation with respect to the magnetic field.
Definition of Potential Energy:
The potential energy of a system is defined as the energy associated with the configuration of the system. In this case, the potential energy of the magnetic dipole is related to its orientation with respect to the magnetic field.
Relation between Torque and Potential Energy:
The torque experienced by a magnetic dipole in a magnetic field is given by the equation:
τ = m x B
where τ is the torque, m is the magnetic dipole moment, and B is the magnetic field.
The potential energy associated with the magnetic dipole in the magnetic field is given by the equation:
U = -m · B
where U is the potential energy.
Relation between Torque and Potential Energy:
The torque experienced by the magnetic dipole is maximum when the dipole moment is perpendicular to the magnetic field. In this case, the torque is given by:
τ = mB
On the other hand, when the torque is minimum, the dipole moment is parallel or antiparallel to the magnetic field. In both cases, the torque is zero.
Relation between Potential Energy and Torque:
The potential energy of the magnetic dipole is maximum when the dipole moment is parallel or antiparallel to the magnetic field. In these orientations, the potential energy is given by:
U = -mB
Therefore, the potential energy is zero when the torque is minimum.
Conclusion:
Based on the above analysis, we can conclude that the potential energy of a magnetic dipole in a constant magnetic field is zero when the torque is minimum. Therefore, the correct answer is option B.
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A magnetic dipole in a constant magneticfield has:a)maximum potential energy whenthe torque is maximumb)zero potential energy when thetorque is minimumc)zero potential energy when thetorque is maximumd)minimum potential energy when thetorque is maximumCorrect answer is option 'B'. Can you explain this answer?
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