.MCAD 304020000 1 74 16138 0 .CMD PLOTFORMAT 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 6 0 1 1 NO-TRACE-STRING 0 2 6 0 1 1 NO-TRACE-STRING 0 3 6 0 1 1 NO-TRACE-STRING 0 4 6 0 1 1 NO-TRACE-STRING 0 1 4 0 1 1 NO-TRACE-STRING 0 2 5 0 1 1 NO-TRACE-STRING 0 3 6 0 1 1 NO-TRACE-STRING 0 4 0 0 1 1 NO-TRACE-STRING 0 1 1 0 1 1 NO-TRACE-STRING 0 2 2 0 1 1 NO-TRACE-STRING 0 3 3 0 1 1 NO-TRACE-STRING 0 4 4 0 1 1 NO-TRACE-STRING 0 1 5 0 1 1 NO-TRACE-STRING 0 2 6 0 1 1 NO-TRACE-STRING 0 3 0 0 1 1 NO-TRACE-STRING 0 4 1 0 1 1 NO-TRACE-STRING 0 1 1 30 24 0 0 3 .CMD FORMAT rd=d ct=10 im=i et=3 zt=15 pr=3 mass length time charge temperature tr=0 vm=0 .CMD SET ORIGIN 0 .CMD SET TOL 0.001000000000000 .CMD SET PRNCOLWIDTH 8 .CMD SET PRNPRECISION 4 .CMD PRINT_SETUP 1.200000 1.197917 1.200000 1.200000 0 .CMD HEADER_FOOTER 1 1 *empty* *empty* *empty* 0 1 |F |P |D^^|T .CMD HEADER_FOOTER_FONT fontID=14 family=Arial points=10 bold=0 italic=0 underline=0 colrid=1359499528 .CMD HEADER_FOOTER_FONT fontID=15 family=Arial points=10 bold=0 italic=0 underline=0 colrid=1359499528 .CMD DEFAULT_TEXT_PARPROPS 0 0 0 .CMD DEFINE_FONTSTYLE_NAME fontID=0 name=Variables .CMD DEFINE_FONTSTYLE_NAME fontID=1 name=Constants .CMD DEFINE_FONTSTYLE_NAME fontID=2 name=Text .CMD DEFINE_FONTSTYLE_NAME fontID=4 name=User^1 .CMD DEFINE_FONTSTYLE_NAME fontID=5 name=User^2 .CMD DEFINE_FONTSTYLE_NAME fontID=6 name=User^3 .CMD DEFINE_FONTSTYLE_NAME fontID=7 name=User^4 .CMD DEFINE_FONTSTYLE_NAME fontID=8 name=User^5 .CMD DEFINE_FONTSTYLE_NAME fontID=9 name=User^6 .CMD DEFINE_FONTSTYLE_NAME fontID=10 name=User^7 .CMD DEFINE_FONTSTYLE fontID=0 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=1 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=2 family=Courier points=10 bold=0 italic=0 underline=0 colrid=5 .CMD DEFINE_FONTSTYLE fontID=4 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=5 family=Courier^New points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=6 family=System points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=7 family=Script points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=8 family=Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=9 family=Modern points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=10 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD UNITS U=1 .CMD DIMENSIONS_ANALYSIS 0 0 .CMD COLORTAB_ENTRY 0 0 0 .CMD COLORTAB_ENTRY 128 0 0 .CMD COLORTAB_ENTRY 0 128 0 .CMD COLORTAB_ENTRY 128 128 0 .CMD COLORTAB_ENTRY 0 0 128 .CMD COLORTAB_ENTRY 128 0 128 .CMD COLORTAB_ENTRY 0 128 128 .CMD COLORTAB_ENTRY 128 128 128 .CMD COLORTAB_ENTRY 192 192 192 .CMD COLORTAB_ENTRY 255 0 0 .CMD COLORTAB_ENTRY 0 255 0 .CMD COLORTAB_ENTRY 255 255 0 .CMD COLORTAB_ENTRY 0 0 255 .CMD COLORTAB_ENTRY 255 0 255 .CMD COLORTAB_ENTRY 0 255 255 .CMD COLORTAB_ENTRY 255 255 255 .CMD COLORTAB_ENTRY 64 128 128 .TXT 2 1 1 0 0 Cg a31.250000,31.250000,31 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard INDUCTANCE OF RECTANGULAR LOOPS} .TXT 0 53 16129 0 0 Cg a19.250000,19.250000,19 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard file: rectangl.mcd} .TXT 6 -53 3 0 0 Cg a38.250000,38.250000,38 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Formulas included in this spreadsheet:} .TXT 4 2 4 0 0 Cg a49.250000,49.250000,215 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Inductance of rectangular wire loop LRECT()\par Impedance magnitude of inductor at\par one frequency XLF()\par Impedance magnitude of inductor to\par rising edge XLR()} .EQN 11 34 16130 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(_#n!!6k!!!F!Q&KFk,T!v1J?M)5!!!!(_#i!!+u!!#U!16k!a!!!0!""S!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9!q!"!!!!!!!!!A+u!!!N!16k"C!!!0<9!!!"!!!!!!!!!A+u!!!N!19Q"C!!!#.^!A"y"%#o(/?""C+u!!!N!1+u!a!!!0!""C!%!!!!Iq#n!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&P!!#e!!!!!!!#!a!!!#DH"C!) !!!!KU&K!!#e!!!!!!!#!a!!!#DH"S!)!!!!'=)3!*&Q*#+!"r#f!a!!!#DH!a!%!!!!Iq#m!!+u!!#U!19Q!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#m!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#n!!6k!!!F!Q&K:#*M"N6l"s+y!!!!(_#i!!+u!!#U!16k!a!!!0!""S!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9 !q!"!!!!!!!!!A+u!!!N!16k"C!!!0<9!!!"!!!!!!!!!A+u!!!N!19Q"C!!!#.^!A!V!6K=-"y6s!a!!!#DH!a!%!!!!Iq#m!!+u!!#U!19Q!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#m!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#n!!6k!!!F!Q&KE)8s"E4/%Y4+!!!!(_#i!!+u!!#U!16k!a!!!0!""S!%!!!!(_#h!!<7!!!G"#Iq"c#dLVLV!1!!!!!!!a!! !!&L!1!%!!!!(_#e!!)1!!!!!!4."34."34."34."34."34."34."34."34."34."34."34."34."34."6!Q  .TXT 3 -36 5 0 0 Cg a15.250000,15.250000,15 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Variables used:} .TXT 4 2 7 0 0 Cg a30.250000,30.250000,89 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard d Diameter of wire (in.)\par \par x Length of wire loop (in.)\par \par y Breadth of wire loop (in.)} .TXT 24 -2 8 0 0 Cg a28.250000,28.250000,28 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Inductance of wire loop (H):} .EQN 4 9 9 0 0 {0:LRECT}NAME({0:d}NAME,{0:x}NAME,{0:y}NAME):10.16*(10)^(-9)*({0:x}NAME*{0:ln}NAME((2*{0:y}NAME)/({0:d}NAME))+{0:y}NAME*{0:ln}NAME((2*{0:x}NAME)/({0:d}NAME))) .TXT 8 -7 10 0 0 Cg a37.250000,37.250000,65 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard A loop of 24-gauge wire 1 in.\\253 has\par about 100 nH of inductance.} .TXT 6 0 11 0 0 Cg a44.250000,44.250000,126 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Changing the wire diameter from AWG 30 \par to AWG 10 makes little difference. The log function is very insensitive to wire size.} .TXT 7 0 16131 0 0 Cg a49.250000,49.250000,90 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard If your loop consists of different-sized\par conductors, use the diameter of the smallest one.} .TXT 6 0 16135 0 0 Cg a51.500000,51.500000,51 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}{\f1\fcharset2\fnil Symbol;}}\plain\cf1\fs20 \pard Impedance magnitude of inductor at frequency f ({\f1 W}):} .TXT 4 0 16133 0 0 Cg a20.250000,20.250000,42 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard l Inductance (H) \par \par f Frequency (Hz)} .EQN 2 30 16137 0 0 {0:XLF}NAME({0:l}NAME,{0:f}NAME):2*{0:\p}NAME*{0:f}NAME*{0:l}NAME .TXT 7 -30 16138 0 0 Cg a32.250000,32.250000,57 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}{\f1\fcharset2\fnil Symbol;}}\plain\cf1\fs20 \pard The impedance, at 100 MHz, of a \par 100-nH inductor is 62 {\f1 W}.} .TXT 8 -2 18 0 0 Cg a59.500000,59.500000,59 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}{\f1\fcharset2\fnil Symbol;}}\plain\cf1\fs20 \pard Impedance magnitude of inductor as seen by rising edge ({\f1 W}):} .TXT 4 2 19 0 0 Cg a27.250000,27.250000,51 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard l Inductance (H) \par \par tr 10-90% rise time (s)\par } .EQN 10 23 20 0 0 {0:XLT}NAME({0:l}NAME,{0:tr}NAME):({0:\p}NAME*{0:l}NAME)/({0:tr}NAME) .TXT 8 -23 21 0 0 Cg a45.250000,45.250000,75 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}{\f1\fcharset2\fnil Symbol;}}\plain\cf1\fs20 \pard The impedance, as seen by a 5-ns rising edge,\par of a 100-nH inductor is 62 {\f1 W}.}