Question

2) Consider copper (o 5.7x10 S/m and u1) wires operating at 60 Hz and 100 MHz (a) Calculate the skin depth at each frequency (b) Estimate the resistance of a 0 Gauge wire (diameter-8.25 mm that is commonly used in homes) that is 10 meters long at both frequencies. Remember to compare the skin-depth to the wire diameter (c) For copper wires operating at 60 Hz what is roughly is the upper limit on the radius of a solid wire that makes econo mic sense?

Answer 1

L0MH2 S7XlotSlm hr= /AM8 measument t depth t SKin depth it the pemitrabion ino the wnin ampletnde Electomagm become 3678 U at the tme mudont on tHhe a the matenal at Ware CEM wave ongimal ampliteutn Surfae f the mataia e ime f atturabion SShin depth AS We Kou to gord Comductor =Coht 1 TCK 60XIKYTRx5FAk} &6061 mm TCL240XS. 7 =8.6061 m m f= 60H.2 TCX 100% 06XIKYK TT2XY5-7X08 7 f too MH

wre Resibamee oe &-25 diameteY =8.25.mn 4125m Length the ire s LE1om Relitane the he uJinent a . L L A R=PL 1 CroH Sabion area A H mire (A A TY2 (91 STIXX1 RE = JR 22019-n 57XTCK4-125) 3.2819 L RE3.2.BIYm2 L Skir of He uuje Skim Yegistance +he wir Jevem Rs 1 R=RS CompeMmg Skin eifennu uibh esitkanu R L A wire 1 A = +8xPL = &L uoX wo1X 19 09.8 = A=0.08606/m& A= ts6onz

A TC 2 A=o.0860 6/m2 TLY2 8 6061 m2 2 O.a86061 O.08606 Y= =O1655 m Limit on the adins ..nppery Salid wire a that make ecomsmi Bemge f60M2