Magnetic damping
Encyclopedia
Magnetic Damping is a form of damping that occurs when a magnetic field moves through a conductor (or vice versa).
) moves through a conductor a current called an Eddy current
is induced in the conductor due to the magnetic field's movement. The flow of electrons in the conductor creates an opposing magnetic field to the magnet which results in damping of the magnet and causes heating inside of the conductor similar to heat buildup inside of power cords. The loss of energy used to heat up the conductor is equal to the loss of kinetic energy by the magnet. Eddy currents induced in conductors are much stronger as temperatures approach cryogenic temperatures. This allows for critical damping for cryogenic applications and testing in the aerospace industry.
Definition
When a magnetic field (magnetMagnet
A magnet is a material or object that produces a magnetic field. This magnetic field is invisible but is responsible for the most notable property of a magnet: a force that pulls on other ferromagnetic materials, such as iron, and attracts or repels other magnets.A permanent magnet is an object...
) moves through a conductor a current called an Eddy current
Eddy current
Eddy currents are electric currents induced in conductors when a conductor is exposed to a changing magnetic field; due to relative motion of the field source and conductor or due to variations of the field with time. This can cause a circulating flow of electrons, or current, within the body of...
is induced in the conductor due to the magnetic field's movement. The flow of electrons in the conductor creates an opposing magnetic field to the magnet which results in damping of the magnet and causes heating inside of the conductor similar to heat buildup inside of power cords. The loss of energy used to heat up the conductor is equal to the loss of kinetic energy by the magnet. Eddy currents induced in conductors are much stronger as temperatures approach cryogenic temperatures. This allows for critical damping for cryogenic applications and testing in the aerospace industry.
Equation
The differential equation of motion of a magnet dropped vertically through or near a conductor, where “M” is the mass of the magnet, “K” is the damping coefficient, “V” is the velocity, “g” is gravity and “a” is the acceleration of the magnet:-
Uses
- Vehicle braking
- Roller coaster braking
- Elevators
- Near critical damping at cryogenic temperatures
Simple Experiment
Magnetic damping can be observed easily due to the development of strong magnets made of neodymium and other rare earth metals. To observe magnetic damping with a minimum of materials and effort, use any length of copper tubing and a neodymium magnet with a smaller diameter than the tube. Ideally the neodymium magnet will have a diameter only slightly smaller than the tube to maximize the magnetic field. Hold the tube vertically and drop the magnet through it to see magnetic damping at work.
Caution! Neodymium magnets larger than a half inch are very strong and should be handled with extreme care since they can be dangerous. They are known to shatter as they come together at high velocities. Neodymium magnets of this size can pinch and even break bones as they are attracted to other magnets or metals. It is best to stick with neodymium magnets of quarter inch diameter or less. Caution!
Radially magnetized neodymium cylinders of 1/8 inch diameter are available for purchase online. Dropping a chained line of these magnets through the copper tube shows magnetic damping, however connecting the magnets in a ring before dropping them shows minimal magnetic damping. This is due to the collapse of the magnetic field as the north and south poles of the chained magnet are connected.