Dipole in a Uniform Magnetic Field: When a magnetic dipole is placed in a uniform magnetic field, it experiences a torque that tends to align it with the direction of the magnetic field. This is because the magnetic field exerts a force on the poles of the dipole, causing it to rotate until it is aligned with the field.
The magnitude of the torque τ on a magnetic dipole of magnetic moment μ placed in a uniform magnetic field B is given by the equation:
τ = μ × B
where × denotes the vector cross product.
The direction of the torque is perpendicular to both the magnetic moment and the magnetic field, and is given by the right-hand rule. If the fingers of the right hand are curled in the direction of the magnetic moment μ, and then the hand is rotated towards the direction of the magnetic field B, the thumb points in the direction of the torque τ.
The magnetic dipole experiences a net force F as well, which is proportional to the gradient of the magnetic field B. The force F is given by the equation:
F = (∇ (μ · B)),
where · denotes the dot product, and ∇ is the gradient operator.
If the magnetic field is non-uniform, the dipole will also experience a translational motion in addition to the rotational motion. In this case, the magnetic field will exert a net force on the dipole, causing it to move along the direction of the field gradient.
The behavior of a dipole in a uniform magnetic field is important in a variety of applications, such as in magnetic resonance imaging (MRI) and magnetic storage devices.
The behavior of a magnetic dipole in a uniform magnetic field is important in a variety of applications, including:
Magnetic compasses: A magnetic compass works by using a magnetic dipole to align itself with the Earth’s magnetic field. This allows the user to determine the direction of the Earth’s magnetic north pole.
JOIN OUR TELEGRAM CHANNELS | ||
Biology Quiz & Notes | Physics Quiz & Notes | Chemistry Quiz & Notes |
By Team Learning Mantras
TNPSC Civil Services Exam Notification: The Tamil Nadu Public Service Commission (TNPSC) has Announced Notification…
Best Books for RRB Technician Exam: The Railway Recruitment Board conducts the RRB Technician Exams.…
RRB Technician Result: The Railway Recruitment Board announces the RRB Technician Result within a month…
RRB Technician Admit Card: The Railway Technician Admit Card will be released by the Railway…
RRB Technician Salary: The RRB Technician Grade Pay is 1900 and Basic pay is 19900+HRA…
RRB Technician Study Materials: The Railway Recruitment Board conducts the RRB Technician Exams. Government of India,…
This website uses cookies.