.MCAD 304020000 1 74 16161 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=4 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 a28.250000,28.250000,28 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard STRIPLINE TRANSMISSION LINES} .TXT 0 49 2 0 0 Cg a16.250000,16.250000,16 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard file: sline.mcd} .TXT 4 -49 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 a55.250000,55.250000,378 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Stripline characteristic impedance ZSTRIP()\par Offset stripline characteristic impedance ZOFFSET()\par Stripline propagation delay PSTRIP()\par Stripline trace inductance LSTRIP() \par Offset stripline inductance LOSTRIP() \par Stripline trace capacitance CSTRIP() \par Offset stripline capacitance COSTRIP()} .EQN 16 35 16130 0 0 { 30 34 13184 0 8 457 589}{66} !1!*!!!$@09Q!!Aa)q!!!!!!$G!!!#1G#U!?!0LVLVIu!"+u!!!x3|'Q#E!n2y*E3|*B2J,7/sK'2#.[!!!,!A!!!!!&!!!!#%&m"x?+#5!!!0>}!!!!!!!!!!!!!!!!!!!!!!!"!%+y!!!!(_#e!!+u!!!#!1#e#u!!!0>}>ZIq!!!!!!"S!1!!!!!!!!!3/CE\&P'Z3e"1!!+u!!!N!1#e!q!!!!9S!!!!!!+u!!!#!1#e!a!!!!&L!1!/ !!!!'M1P!"&KLVLVLG!!"C!!!##h"S7-$#DY"3!!!0Ac!1!!!!!!!!!%!!!!(_#g!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#h!!Aa!!!E!Q+u(O#]"eAa*3!K#H1A(/Ii"c6k!!#_!A!!!!!!!!!!!!!%!!!!(_#i!!+u!!#U!1)1"3!!!0Ac!!#dLVIq!!!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9!!!"!!!!!!!!!A+u!!!N!1.[#%!!!#+x !a#(![&P47;7!x#nEI0b!^1F!a!!!#DH!a!%!!!!Iq#j!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&P!!#e!!!!!!!#!a!!!#DH!q!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"#!)!!!!'=)3!06n;e12"0)6!a!!!#DH!a!%!!!!Iq#j!!+u!!#U!11A!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#j!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#k!!6k!!!F !Q&K&{6>"!DN;e._!!!!(_#i!!+u!!#U!1.[!a!!!0!""#!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9!q!"!!!!!!!!!A+u!!!N!1.["C!!!0<9!!!"!!!!!!!!!A+u!!!N!11A"C!!!#.^!A!@"LDL/]6>!q+u!!!N!1+u!a!!!0!"!q!%!!!!Iq#k!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&P!!#e!!!!!!!#!a!!!#DH!q!)!!!!KU&K!!#e !!!!!!!#!a!!!#DH"#!)!!!!'=)3!)6rDw/U"L?"!a!!!#DH!a!%!!!!Iq#j!!+u!!#U!11A!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#j!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#k!!6k!!!F!Q&K8O8J!|<>Dg._!!!!(_#i!!+u!!#U!1.[!a!!!0!""#!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9!q!"!!!!!!!! !A+u!!!N!1.["C!!!0<9!!!"!!!!!!!!!A+u!!!N!11A"C!!!#.^!A#R"@&PA18I!q+u!!!N!1+u!a!!!0!"!q!%!!!!Iq#k!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&P!!#e!!!!!!!#!a!!!#DH!q!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"#!)!!!!'=)3!/Iy;5.z"P&P!a!!!#DH!a!%!!!!Iq#j!!+u!!#U!11A!a!!!#DH!Q!%!!!! (_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#j!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#k!!6k!!!F!Q&K/}9!!s#n;5._!!!!(_#i!!+u!!#U!1.[!a!!!0!""#!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9!q!"!!!!!!!!!A+u!!!N!1.["C!!!0<9!!!"!!!!!!!!!A+u!!!N!11A"C!!!#.^!A!t"\<<8O9!!q+u!!!N!1+u!a!!!0!"!q!% !!!!Iq#k!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&P!!#e!!!!!!!#!a!!!#DH!q!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"#!)!!!!'=)3!,AiDG/h"]&P!a!!!#DH!a!%!!!!Iq#j!!+u!!#U!11A!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#j!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#k!!6k!!!F!Q&K3e;C"!Iy DG._!!!!(_#i!!+u!!#U!1.[!a!!!0!""#!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9!q!"!!!!!!!!!A+u!!!N!1.["C!!!0<9!!!"!!!!!!!!!A+u!!!N!11A"C!!!#.^!A!B"`!&35;Q!q+u!!!N!1+u!a!!!0!"!q!%!!!!Iq#k!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH!q!-!!!!'-)5!*1F=)1w"=.a*36D ",1FEy1E!!!!(_#i!!+u!!#U!1.[!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#j!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#k!!6k!!!F!Q&KC50E",)6?m1E!!!!(_#i!!+u!!#U!1.[!a!!!0!""#!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9!q!"!!!!!!!!!A+u!!!N!1.["C!!!0<9!!!"!!!!!!!!!A+u!!!N!11A "C!!!#.^!A"Z!}&QKe0E"#+u!!!N!1+u!a!!!0!"!q!%!!!!Iq#k!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&P!!#e!!!!!!!#!a!!!#DH!q!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"#!)!!!!'=)3!#G3=92v!~!'!a!!!#DH!a!%!!!!Iq#j!!+u!!#U!11A!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#j!!6k!!#_ !A!!!1!!!!!!!!&O!!!!(_#k!!6k!!!F!Q&K:c0{")4-/]5m"3+u!!!N!1+u!a!!!0!"!q!%!!!!Iq#k!!+u!!!N!1)1!a!! !#DH!A!)!!!!KU&P!!#e!!!!!!!#!a!!!#DH!q!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"#!)!!!!'=)3!+.b!a!!!#DH!a!%!!!!Iq#j!!+u!!#U!11A!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#j!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#k!!6k!!!F!Q&K"36E"@4.T"9+w!1!%!!!!!!!|#G&V4g!M!!+u!!!#!1#e!a!!!#4(LVIu!!!!!A#f!!+u!!!#!1#e!Q!!!"G-"3!!!"1E #E5Q!6G3"c#i!!!!!A#f!!+u!!!N!16k#5!!!$&U111K!1#e!a!!!!!!0OGO"y&K.K!%!!!!!A#f!!+u!!!H!@LV!a!!!!&L!1!/!!!!'M1P!"&KLVLVLG!!"C!!!*&PHOI5"aJ%!a!!!#DH!A!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"S!+!!!!'-)4!*6l=y5-!5&RCe$I"3+u!!!N!1+u!a!!!0!""S!%!!!!(_#h!!+u!!!N!1&K"C!! !0<9!!!"!!!!!!!!!A+u!!!N!19Q"c!!!#+x!Q"[!=Af2#$:"/Ab)a1E!!!!(_#i!!+u!!#U!19Q!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#n!!<7!!!E!Q)1!!+B"/Ac*#4[!T.b!a!!!#DH!a!%!!!!Iq#n!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"S!+!!!!'-)4!!!$=i3Q!E#k )q)r"#+u!!!N!1+u!a!!!0!""S!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9!!!"!!!!!!!!!A+u!!!N!19Q"c!!!#+x!Q"X!~9T(_0D!SDL#5+y!!!!(_#i!!+u!!#U!19Q!a!!!#DH!Q!+!!!!'M1P!!<7LVLVLG#e!!!!!!+u!!!#!1#e!a!!!!&L!1!%!!!!!A#f!!)1!!!?!!4'!!!7!m6n@o1Y!S+{!a!!!!&L!1!%!!!!(_#m!!DG!!!S "d9T'-1B!!+u!!!!!&?+&k@6!'9Q!a!!!!&L!1!%!!!!']&JLG+u!!!#!1#e#E!!!#1G#U!3!0LVLVIq!!6k!!!z$~)CB$4B$G+u!!!N!1&K"C!!!0<9!!!"!!!!!!!!!A+u!!!N!19Q"c!!!#+x!Q"?"p&P-9=C!|!+3%._!!!!(_#i!!+u!!#U!19Q!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#n!!<7!!!E!Q)1 6+>%"'6u#u5y"d#l!a!!!#DH!a!%!!!!Iq#n!!+u!!!N!1)1"c!!!#1G#U!+!0LVLVIr!!!!!!!%!!!!!A#f!!+u!!!#!1#e!a!!!!&L!1!$!!!!&+!(!!!!$g-C"/#oF+/@"c+u!!!#!1#e!a!!!#DH"C!.!!!!)Q>V!u);!1!%!!!!!!!|#G&V2c!p!!+u!!!#!1#e!a!!!#4(LVIu!!!!!A#f!!G-!!!G"#Iq$'#dLVLV!!!)!!!!Jd=` $LGH%:1E!!!!(_#g!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#n!!<7!!!E!Q)1-YD#"$1M4w2a#,.a!a!!!#DH!a!%!!!!Iq#n!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"S!+!!!!'-)4!%!a!!!!&L!1!%!!!!(_#n!!DG!!!S"e6r$7DH!!+u!!!!!&?+&k?O!#G-!a!!!!&L!1!%!!!!']&JLG+u!!!#!1#e#E!!!#1G#U!3!0LVLVIq!!6k!!"S!d{"C!!!#.^!A"?!K.a3E0D"#+u!!!N!1+u!a!!!0!""c!%!!!!Iq#p!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&P!!#e!!!!!!!#!a!!!#DH"c!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"s!)!!!!'=)3!(AcEy2O!~9W!a!!!#DH!a!%!!!!Iq#o!!+u!!#U!1>{!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A.[!1!!!!!! !!&O!!!!(_#o!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#p!!6k!!!F!Q&KE9(."A+u<'4+!!!!(_#i!!+u!!#U!1<7!a!!!0!""s!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9!q!"!!!!!!!!!A+u!!!N!1<7"C!!!0<9!!!"!!!!!!!!!A+u!!!N!1>{"C!!!#.^!A#(!N.`Gm#:!q+u!!!N!1+u!a!!!0!""c!%!!!!Iq#p!!+u!!!N!1)1!a!! !#DH!A!)!!!!KU&P!!#e!!!!!!!#!a!!!#DH"c!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"s!)!!!!'=)3!*6l,G5a!@.a!a!!!#DH!a!%!!!!Iq#o!!+u!!#U!1>{!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#o!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#p!!6k!!!F!Q&K:s$:",6l6{1E!!!!(_#i!!+u!!#U!1<7 !a!!!0!""s!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9!q!"!!!!!!!!!A+u!!!N!1<7"C!!!0<9!!!"!!!!!!!!!A+u!!!N!1>{"C!!!#.^!A"a!ZIx(o*r"3+u!!!N!1+u!a!!!0!""c!%!!!!Iq#p!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&P!!#e!!!!!!!#!a!!!#DH"c!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"s!)!!!!'=)3!!!$*#4' !R#m!a!!!#DH!a!%!!!!Iq#o!!+u!!#U!1>{!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#o!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#p!!6k!!!F!Q&K;u+J!sG0E9._!!!!(_#i!!+u!!#U!1<7!a!!!0!""s!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9!q!"!!!!!!!!!A+u!!!N!1<7"C!!!0<9!!!"!!!!!!!!!A+u !!!N!1>{"C!!!#.^!A!!!U#k!!*8!q+u!!!N!1+u!a!!!0!""c!%!!!!Iq#p!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&P!!#e!!!!!!!#!a!!!#DH"c!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"s!)!!!!'=)3!'AfJ38o"(1H!a!!!#DH!a!%!!!!Iq#o!!+u!!#U!1>{!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#o !!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#p!!6k!!!F!Q&K(_0x!_!%Ey)5!!!!(_#i!!+u!!#U!1<7!a!!!0!""s!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9!q!"!!!!!!!!!A+u!!!N!1<7"C!!!0<9!!!"!!!!!!!!!A+u!!!N!1>{"C!!!#.^!A!W"7G0*35L"#+u!!!N!1+u!a!!!0!""c!%!!!!Iq#p!!+u!!!N!1)1!a!!!#DH!A!)!!!! KU&P!!#e!!!!!!!#!a!!!#DH"c!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"s!)!!!!'=)3!(Ak35/y"dDL!a!!!#DH!a!%!!!!Iq#o!!+u!!#U!1>{!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#o!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#p!!6k!!!F!Q&K;u;>"4&X=i4+!!!!(_#i!!+u!!#U!1<7!a!!!0!""s!% !!!!(_#h!!+u!!!N!1&K"C!!!0<9!q!"!!!!!!!!!A+u!!!N!1<7"C!!!0<9!!!"!!!!!!!!!A+u!!!N!1>{"C!!!#.^!A"a"`6p$'Fc!q+u!!!N!1+u!a!!!0!""c!%!!!!Iq#p!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&P!!#e!!!!!!!#!a!!!#DH"c!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"s!)!!!!'=)3!*1KEy1S#B9W!a!!!#DH !a!%!!!!Iq#o!!+u!!#U!1>{!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#o!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#p!!6k!!!F!Q&K3%5n"()<=)1E!!!!(_#i!!+u!!#U!1<7!a!!!0!""s!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9!q!"!!!!!!!!!A+u!!!N!1<7"C!!!0<9!!!"!!!!!!!!!A+u!!!N!1>{"C!! !#.^!A"-"@9W1a>T"#+u!!!N!1+u!a!!!0!""c!%!!!!Iq#p!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&P!!#e!!!!!!!#!a!!!#DH"c!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"s!)!!!!'=)3!(Ak#u5E"hG4!a!!!#DH!a!%!!!!Iq#o!!+u!!#U!1>{!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#o!!6k!!#_!A!! !1!!!!!!!!&O!!!!(_#p!!6k!!!F!Q&K-YAf"G{"C!!!#.^!A!k#,.a-YB+"#+u!!!N!1+u!a!!!0!""c!%!!!!Iq#p!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&P!!#e!!!! !!!#!a!!!#DH"c!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"s!)!!!!'=)3!*AhEy+^"@9T!a!!!#DH!a!%!!!!Iq#o!!+u!!#U!1>{!a!!!#DH!Q!+!!!!'M1P!!<7LVLVLG#e!!!!!!+u!!!#!1#e!a!!!#DH!!!$!!!!!!#dLVLVLVLVLVLVLVLVLVLVLVJC  .TXT 2 -37 5 0 0 Cg a35.250000,35.250000,215 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Formulas are from Seymour Cohn,\par "Problems in Strip Transmission\par Lines," MTT-3, No. 2, March 1955,\par pp. 199-126.\par \par This material is summarized in\par Harlan Howe, Stripline Circuit\par Design, Artech House, Norwood, MA,\par 1974.} .TXT 34 0 7 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 8 0 0 Cg a62.250000,62.250000,310 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard h1 Trace height above lower ground plane (in.)\par \par h2 Trace headroom below upper ground plane (in.)\par \par b Separation between ground planes, b = h1 + h2 + t (in.)\par \par w Trace width (in.)\par \par t Trace thickness (in.)\par \par er Trace thickness (in.) \par \par x Trace length (in.)} .TXT 40 -2 10 0 0 Cg a39.500000,39.500000,39 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}{\f1\fcharset2\fnil Symbol;}}\plain\cf1\fs20 \pard Stripline characteristic impedance ({\f1 W}:)} .TXT 4 0 11 0 0 Cg a40.250000,40.250000,72 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Accuracy of better than 1.3% is\par obtained under the following conditions:} .TXT 6 9 12 0 0 Cg a16.250000,16.250000,42 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard t/b < 0.25\par t/w < 0.11\par er unrestricted} .TXT 0 32 16131 0 0 Cg a32.250000,32.250000,107 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard NOTE: formula ZSTR_K1() corrected per instructions\par from Robert Canright of Richardson, TX. Thanks, Robert.} .TXT 10 -39 14 0 0 Cg a31.250000,31.250000,31 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard For skinny traces (w/b < 0.35)} .EQN 4 1 15 0 0 {0:ZSTR_K1}NAME({0:w}NAME,{0:t}NAME):(({0:w}NAME)/(2))*(1+({0:t}NAME)/({0:\p}NAME*{0:w}NAME)*(1+{0:ln}NAME((4*{0:\p}NAME*{0:w}NAME)/({0:t}NAME)))+0.255*((({0:t}NAME)/({0:w}NAME)))^(2)) .EQN 14 4 16 0 0 {0:ZSTR_skny}NAME({0:b}NAME,{0:w}NAME,{0:t}NAME,{0:er}NAME):(60)/(\({0:er}NAME))*{0:ln}NAME((4*{0:b}NAME)/({0:\p}NAME*{0:ZSTR_K1}NAME({0:w}NAME,{0:t}NAME))) .TXT 16 -5 17 0 0 Cg a30.250000,30.250000,30 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard For wide traces (w/b > 0.35) } .EQN 4 -2 18 0 0 {0:ZSTR_K2}NAME({0:b}NAME,{0:t}NAME):((2)/(1-({0:t}NAME)/({0:b}NAME))*{0:ln}NAME((1)/(1-({0:t}NAME)/({0:b}NAME))+1)-((1)/(1-({0:t}NAME)/({0:b}NAME))-1)*{0:ln}NAME((1)/(((1-({0:t}NAME)/({0:b}NAME)))^(2))-1)) .EQN 14 5 19 0 0 {0:ZSTR_wide}NAME({0:b}NAME,{0:w}NAME,{0:t}NAME,{0:er}NAME):(94.15)/((({0:w}NAME)/({0:b}NAME))/(1-({0:t}NAME)/({0:b}NAME))+({0:ZSTR_K2}NAME({0:b}NAME,{0:t}NAME))/({0:\p}NAME))*(1)/(\({0:er}NAME)) .TXT 16 -5 16132 0 0 Cg a34.250000,34.250000,68 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Composite formula picks skinny or wide model depending on w/b ratio:} .EQN 6 0 16133 0 0 {0:ZSTRIP}NAME({0:b}NAME,{0:w}NAME,{0:t}NAME,{0:er}NAME):{0:if}NAME({0:w}NAME>.35*{0:b}NAME,{0:ZSTR_wide}NAME({0:b}NAME,{0:w}NAME,{0:t}NAME,{0:er}NAME),{0:ZSTR_skny}NAME({0:b}NAME,{0:w}NAME,{0:t}NAME,{0:er}NAME)) .TXT 10 0 23 0 0 Cg a65.250000,65.250000,155 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Rarely are the two parameters h1 and h2 equal in practice. The\par more common case is an assymetric stripline having the conducting\par trace offset to one side.} .TXT 8 0 24 0 0 Cg a61.500000,61.500000,61 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}{\f1\fcharset2\fnil Symbol;}}\plain\cf1\fs20 \pard Offset, or asymmetric, stripline characteristic impedance ({\f1 W})} .TXT 2 0 25 0 0 Cg a25.250000,25.250000,25 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard (no accuracy guaranteed):} .EQN 6 0 26 0 0 {0:ZOFFSET}NAME({0:h1}NAME,{0:h2}NAME,{0:w}NAME,{0:t}NAME,{0:er}NAME):(2*{0:ZSTRIP}NAME(2*{0:h1}NAME+{0:t}NAME,{0:w}NAME,{0:t}NAME,{0:er}NAME)*{0:ZSTRIP}NAME(2*{0:h2}NAME+{0:t}NAME,{0:w}NAME,{0:t}NAME,{0:er}NAME))/({0:ZSTRIP}NAME(2*{0:h1}NAME+{0:t}NAME, {0:w}NAME,{0:t}NAME,{0:er}NAME)+{0:ZSTRIP}NAME(2*{0:h2}NAME+{0:t}NAME,{0:w}NAME,{0:t}NAME,{0:er}NAME)) .TXT 12 0 27 0 0 Cg a39.250000,39.250000,39 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Propagation delay of stripline (s/in.):} .EQN 6 9 28 0 0 {0:PSTRIP}NAME({0:er}NAME):84.72*(10)^(-12)*\({0:er}NAME) .TXT 0 39 29 0 0 Cg a19.250000,19.250000,49 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard (same formula for\par centered or offset\par stripline)} .TXT 8 -48 30 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 stripline (H):} .EQN 4 9 31 0 0 {0:LSTRIP}NAME({0:b}NAME,{0:w}NAME,{0:t}NAME,{0:x}NAME):{0:PSTRIP}NAME(1.)*{0:ZSTRIP}NAME({0:b}NAME,{0:w}NAME,{0:t}NAME,1.)*{0:x}NAME .TXT 6 -7 32 0 0 Cg a40.250000,40.250000,98 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard In the equation above, we can assume a relative permittivity of 1.; it doesn't \par affect the answer.} .TXT 10 -2 33 0 0 Cg a35.250000,35.250000,35 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Inductance of offset stripline (H):} .EQN 4 6 34 0 0 {0:LOSTRIP}NAME({0:h1}NAME,{0:h2}NAME,{0:w}NAME,{0:t}NAME,{0:x}NAME):{0:PSTRIP}NAME(1.)*{0:ZOFFSET}NAME({0:h1}NAME,{0:h2}NAME,{0:w}NAME,{0:t}NAME,1.)*{0:x}NAME .TXT 6 -6 35 0 0 Cg a29.250000,29.250000,29 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Capacitance of stripline (F):} .EQN 4 12 36 0 0 {0:CSTRIP}NAME({0:b}NAME,{0:w}NAME,{0:t}NAME,{0:er}NAME,{0:x}NAME):({0:PSTRIP}NAME({0:er}NAME))/({0:ZSTRIP}NAME({0:b}NAME,{0:w}NAME,{0:t}NAME,{0:er}NAME))*{0:x}NAME .TXT 6 -10 16134 0 0 Cg a45.250000,45.250000,72 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard In the equations above and below, we must use\par the relative permittivity.} .TXT 6 -2 16135 0 0 Cg a36.250000,36.250000,36 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Capacitance of offset stripline (F):} .EQN 4 9 16136 0 0 {0:COSTRIP}NAME({0:h1}NAME,{0:h2}NAME,{0:w}NAME,{0:t}NAME,{0:er}NAME,{0:x}NAME):({0:PSTRIP}NAME({0:er}NAME))/({0:ZOFFSET}NAME({0:h1}NAME,{0:h2}NAME,{0:w}NAME,{0:t}NAME,{0:er}NAME))*{0:x}NAME .TXT 12 -9 41 0 0 Cg a47.250000,47.250000,78 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard _______________________________________________\par Example stripline calculations} .TXT 8 2 42 0 0 Cg a29.250000,29.250000,29 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Ground plane separation (in.)} .EQN 0 34 43 0 0 {0:B}NAME:.020 .TXT 4 -34 44 0 0 Cg a20.250000,20.250000,20 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Width of trace (in.)} .EQN 0 34 45 0 0 {0:W}NAME:.006 .TXT 4 -34 46 0 0 Cg a24.250000,24.250000,24 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Thickness of trace (in.)} .EQN 0 34 47 0 0 {0:T}NAME:.00137 .TXT 0 15 48 0 0 Cg a16.250000,16.250000,29 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard (1-oz copper\par plating weight)} .TXT 4 -49 49 0 0 Cg a20.250000,20.250000,20 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Length of wire (in.)} .EQN 0 34 50 0 0 {0:X}NAME:11.000 .TXT 6 -34 51 0 0 Cg a22.250000,22.250000,74 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Relative electric\par permeability (affects \par capacitance, but not \par inductance)} .EQN 0 34 52 0 0 {0:er}NAME:4.5 .TXT 9 -36 16157 0 0 Cg a14.500000,14.500000,14 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}{\f1\fcharset2\fnil Symbol;}}\plain\cf1\fs20 \pard Impedance ({\f1 W}):} .EQN 5 9 16144 0 0 {0:ZSTRIP}NAME({0:B}NAME,{0:W}NAME,{0:T}NAME,{0:er}NAME)={0}?_n_u_l_l_ .TXT 4 -9 55 0 0 Cg a21.250000,21.250000,21 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Total inductance (H):} .EQN 4 9 16145 0 0 {0:LSTRIP}NAME({0:B}NAME,{0:W}NAME,{0:T}NAME,{0:X}NAME)={0}?_n_u_l_l_ .TXT 4 -9 57 0 0 Cg a18.250000,18.250000,18 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Same result in nH:} .EQN 5 9 16146 0 0 {0:LSTRIP}NAME({0:B}NAME,{0:W}NAME,{0:T}NAME,{0:X}NAME)*(10)^(9)={0}?_n_u_l_l_ .TXT 4 -9 59 0 0 Cg a23.250000,23.250000,23 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Inductance per in. (H):} .EQN 4 9 16147 0 0 {0:LSTRIP}NAME({0:B}NAME,{0:W}NAME,{0:T}NAME,1)={0}?_n_u_l_l_ .TXT 5 -9 16151 0 0 Cg a22.250000,22.250000,22 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Total capacitance (F):} .EQN 4 9 16152 0 0 {0:CSTRIP}NAME({0:B}NAME,{0:W}NAME,{0:T}NAME,{0:er}NAME,{0:X}NAME)={0}?_n_u_l_l_ .TXT 4 -9 16153 0 0 Cg a18.250000,18.250000,18 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Same result in pF:} .EQN 5 9 16154 0 0 {0:CSTRIP}NAME({0:B}NAME,{0:W}NAME,{0:T}NAME,{0:er}NAME,{0:X}NAME)*(10)^(12)={0}?_n_u_l_l_ .TXT 4 -9 16155 0 0 Cg a24.250000,24.250000,24 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Capacitance per in. (F):} .EQN 4 9 16156 0 0 {0:CSTRIP}NAME({0:B}NAME,{0:W}NAME,{0:T}NAME,{0:er}NAME,1)={0}?_n_u_l_l_ .TXT 11 -9 68 0 0 Cg a17.250000,17.250000,17 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Tolerance effects} .EQN 6 0 16158 0 0 {0:ZOFF_TOL}NAME({0:h1}NAME,{0:h1tol}NAME,{0:h2}NAME,{0:h2tol}NAME,{0:w}NAME,{0:wtol}NAME,{0:t}NAME,{0:er}NAME,{0:ertol}NAME):({3,1}ö{0:ZOFFSET}NAME({0:h1}NAME-{0:h1tol}NAME,{0:h2}NAME-{0:h2tol}NAME,{0:w}NAME+{0:wtol}NAME,{0:t}NAME,{0:er}NAME+ {0:ertol}NAME)ö{0:ZOFFSET}NAME({0:h1}NAME,{0:h2}NAME,{0:w}NAME,{0:t}NAME,{0:er}NAME)ö{0:ZOFFSET}NAME({0:h1}NAME+{0:h1tol}NAME,{0:h2}NAME+{0:h2tol}NAME,{0:w}NAME-{0:wtol}NAME,{0:t}NAME,{0:er}NAME-{0:ertol}NAME)) .EQN 15 4 70 0 0 {0:\a}NAME:{0:ZOFF_TOL}NAME(.007,.002,.032,.002,.008,.002,.0015,4.5,.1) .EQN 6 0 71 0 0 {0:\a}NAME={0}?_n_u_l_l_ .EQN 15 -1 16160 0 0 {0:REFL}NAME({0:x}NAME,{0:z}NAME):({3,1}ö({0:z}NAME-({0:x}NAME)[(2))/({0:z}NAME+({0:x}NAME)[(2))ö({0:z}NAME-({0:x}NAME)[(1))/({0:z}NAME+({0:x}NAME)[(1))ö({0:z}NAME-({0:x}NAME)[(0))/({0:z}NAME+({0:x}NAME)[(0))) .EQN 17 -1 16161 0 0 {0:REFL}NAME({0:\a}NAME,50)={0}?_n_u_l_l_ .TXT 57 29 74 0 0 Cg a4.250000,4.250000,4 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard C.??}