PK A? bbmathcad/worksheet.xml (AC ResistanceCalculation of conductor AC resistance from Dr. Howard Johnson, "http://www.sigcon.com/Pubs/misc/skineffect-calculations.htm"G. Barrere -- 7 Jul 2011ρ6.78710-7Ωinρr1Constants for copper conductivity, relative conductivity, and the permeability of free spaceμ3.19210-8WbAindiaAWG.0059236AWG39inStandard formula for diameter in inches given AWGareaAWGπdiaAWG22Area as a function of AWGf10MHz<-- Enter operating frequencySkinDepthρρrπfμmilSkin depth at this freqFor wire ==========================================l3inDdia30mil<-- Enter wire length and diameterRwρπμflπDmΩEqn 4.45e: resistance for this length & dia of copper wire at this freqFor low-level core loss and Q ==============================L7.95μH<-- Enter inductanceμi120<-- Enter core initial permeabilityLF6.510-5<-- Enter core loss factor tand/uRcoreLFμi2πfLFrom Ferronics dataQ2πfLRwRcoreQ depends on wire and core lossesFor PCB trace =======================================w7mild1.5mill36cm<-- Enter trace width, height, length(1 oz copper = 1.5 mil height)px.33Fudge factor for proximity effectgp.36Fudge factor for return loss (ranges from .36 for plane to 2? for transmission line trace pair)Eqn 4.45: magnitude of the resistive component of this trace per unit length (multiply by (1+j) to include inductive component)ρρrπμf2wdl1pxgpmΩPK A?V2   _rels/.rels (PK A?AnH10-9HmF10-3FmΩ10-3ΩmS10-3SμS10-6Sturn1dB1neper1mT10-3Tkgauss1000gaussmJ10-3Jkft1000ftCMπ4mil2degCKFtoCf95f32CtoFcc3259KtoCcc273.15CtoKkk273.15dBm2WdBm.001W10dBm10W2dBmW10logW.001ZCCf112πfCZLLf12πfLparxyxyxymagx20logxlimitxmaxminifxmaxmaxifxminminx_roundxifxfloorx0.5floorxceilx_sig_digxn_roundx10floorlogxn110floorlogxn1_Epifp296p120p_Dpifp232_fix2nvnifnv3.83.9nifnv4.24.3nifnv4.64.7nifnv8.38.2nnvn_fixnvnifnv2.62.7nifnv2.93.0nifnv3.23.3nifnv3.53.6n_fix2nvn_EIAklugevalpifp2val_fixval10floorlogval10floorlogvalClosestxp_EIAkluge_sig_dig10_roundlogxUnitsOfx_Ep_Ep_DppUnitsOfxPK A?(55 mathcad/_rels/worksheet.xml.rels (PK A?M%mathcad/header.xml (
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