Force from a magnet passing through coils

AI Thread Summary
The discussion focuses on designing a suspension system that utilizes a magnet moving through coils to create an energetic damper. The energy produced is proportional to the magnet's velocity, and the user seeks formulas to calculate the damping coefficient based on magnet strength, coil count, and velocity. A suggested resource provides foundational knowledge on magnetic induction, while a user mentions that using a coil with series resistance can facilitate variable damping rates. The voltage output from the coil is linked to the number of turns, coil area, and magnetic field changes, with Lenz's Law explaining the opposing damping current. The complexity of the equations is acknowledged, emphasizing the need for precise geometry specifications.
Mr Pudding
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Hi there

I'm engineering a suspension system with the damper consisting of a magnet going through some coils.
As the energy produced from this is proportional to the velocity of the magnet, this would be ideal for an "energetic" damper.

To calculate the damping coefficient produced, I need the formulas to calculate the power generated dependant on the magnet strength, number of coils, velocity etc...

Anyone got it?
 
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Using a coil with a series resistance is suitable for a variable damping rate system. Precision chemistry weighing scales (balances) use a damper system with a stationary permanent magnet and a moving vane of copper or aluminum.

For a coil, the voltage output (from Faraday's law) is proportional to -N·A·dB/dt, where N is number of turns, A is coil area, and B is the average magnetic field in the coil. The damping is accomplished by terminating the coil in a resistance R to create an opposing damping current (I = V/R) using Lenz's Law. It is difficult to write down the equations until the exact geometry is specified. Using a magnet and vane is easier.

Bob S
 
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