- #1
Orlando
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Homework Statement
I am investigating the penetration depth of eddy currents within a copper slab. A solenoid is being used to induce the eddy currents within the copper. As a result of the experimental design, I need to calculate the power loss due to the eddy currents and I can't find any theoretical calculations that do so that also incorporate the skin effect.
Homework Equations
Under certain assumptions (uniform material, uniform magnetic field, no skin effect, etc.) the power lost due to eddy currents can be calculated from the following equations: http://upload.wikimedia.org/math/5/e/e/5ee57c87a0a7375257720d65c5a75198.png
The AC current density J in a conductor decreases exponentially from its value at the surface JS according to the depth d from the surface, as follows:http://upload.wikimedia.org/math/1/2/0/1205a2cff61e72e90ad4ed2ccb77bffb.png
The Attempt at a Solution
I don't see why i cannot simply combine these two equations to account for the skin effect, however I have not been able to find such an equation anywhere online. Doing so relies on the assumption that there is a 1:1 ratio between current density and power loss, but isn't that so?
I would appreciate any help or confirmation. Thank you