.MCAD 304020000 1 74 16133 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 PLOTFORMAT 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 6 0 1 1 1 1 NO-TRACE-STRING 0 2 6 0 1 1 1 1 NO-TRACE-STRING 0 3 6 0 1 1 1 1 NO-TRACE-STRING 0 4 6 0 1 1 1 1 NO-TRACE-STRING 0 1 4 0 1 1 1 1 NO-TRACE-STRING 0 2 5 0 1 1 1 1 NO-TRACE-STRING 0 3 6 0 1 1 1 1 NO-TRACE-STRING 0 4 0 0 1 1 1 1 NO-TRACE-STRING 0 1 1 0 1 1 1 1 NO-TRACE-STRING 0 2 2 0 1 1 1 1 NO-TRACE-STRING 0 3 3 0 1 1 1 1 NO-TRACE-STRING 0 4 4 0 1 1 1 1 NO-TRACE-STRING 0 1 5 0 1 1 1 1 NO-TRACE-STRING 0 2 6 0 1 1 1 1 NO-TRACE-STRING 0 3 0 0 1 1 1 1 NO-TRACE-STRING 0 4 1 0 1 1 1 1 NO-TRACE-STRING 0 1 1 1 30 0 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=1257786104 .CMD HEADER_FOOTER_FONT fontID=15 family=Arial points=10 bold=0 italic=0 underline=0 colrid=1257786104 .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 a34.250000,34.250000,34 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard CAPACITANCE OF TWO PARALLEL PLATES} .TXT 0 55 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: capac.mcd} .TXT 6 -55 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 Capacitance of two plates CPLATE()\par Impedance magnitude of capacitor at \par one frequency XCF()\par Impedance magnitude of capacitor as\par seen by rising edge XCR()} .EQN 10 34 16133 0 0 { 31 34 4320 0 8 463 589}{66} !1!*!!!$/}6k!!<7'm!!!!!!$G!!!#1G#U!?!0LVLVIu!"+u!!!x3|'Q#E!n2y*E3|*B2J,7/sK'2#.[!!!,!A!!!!!&!!!!#%'5"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$'7-$$49"3!!!0Ac!1!!!!!!!!!%!!!!(_#g!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#h!!Aa!!!E!Q+u(O#b"eAa*s!K#H<7(/In"c6k!!#_!A!!!!!!!!!!!!!%!!!!(_#i!!+u!!#U!1)1"3!!!0Ac!!#dLVIq!!!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9!q!"!!!!!!!!!A+u!!!N!1.["C!!!0<9 !!!"!!!!!!!!!A+u!!!N!11A$g!!!#.^"S"M"$DNI11M"7+|IQ2u"?1GEI5]"$!)0_2""DIw2390!y!);u._!!!!(_#i!!+u!!#U!1.[!a!!!0!""#!%!!!!(_#h!!<7!!!G"#Iq"c#dLVLV!1!!!!!!!a!!!!&L!1!%!!!!!A#f!!+u!!!#!1#e!Q!!!"G-"3!!!"1E;5%N"PDG23+y!!!!!A#f!"!!!!#`!F<6!!!!!!!!9Q#e!!#d!!!! $,'\3[$u!#"6!a!!!#DH!q!A!!!!)Q>X!*&O#E!%!!!!!!!|#I6v,M$w1W*<4m$u1w.{3{2R!%<7/=!k!%<7(o!O!%<7/=!k!%<7(/!u!$6k!a!!!!&L!1!%!!!!']&JLG+u!!!#!1#e!a!!!!&L!1!$!!!!&+!(!!!!$g,_!P}0>Iq!!!!!!"S!1#e!0Iq!!!3/#K"1WG-.V&O!!!! (_#k!!DG!!!S"m+{H_!"!!+u!!!!!&?+-9@7!%<7!a!!!!&L!1!%!!!!']&JLG+u!!!#!1#e!a!!!#DH!A!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"3!+!!!!'-)4!&!#0/1F!I&Q)a(B"#+u!!!N!1+u!a!!!0!""3!%!!!!(_#h!!+u!!!#!1#e!a!!!!&L!1!%!!!!!A#f!!)1!!!?!!4'!!!7!oAf*S/,!z+y!a!!!!&L!1!%!!!!(_#k !!DG!!!S"eIv:3+v!!+u!!!!!&?+-9@6!'Iq!a!!!!&L!1!%!!!!']&JLG+u!!!#!1#e#E!!!#1G#U!3!0LVLVIq!!6k!!",#L)D'~!u$w+u!!!N!1&K"C!!!0<9!!!"!!!!!!!!!A+u!!!N!14'"c!!!#+x!Q!J"%#l7m1D";!'.;4+!!!!(_#i!!+u!!#U!14'!a!!!#DH!Q!%!!!!(_#g!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#l!!<7 !!!E!Q)1'-1Q"0DLI!0o!s6q!a!!!#DH!a!%!!!!Iq#l!!+u!!!N!1)1!a!!!#DH!A!)!!!!KU&K!!#e!!!!!!!#!a!!!#DH"3!+!!!!'-)4!&G46{:j"?<@+563"S+u!!!N!1+u!a!!!0!""3!%!!!!(_#h!!+u!!!N!1&K"C!!!0<9!!!"!!!!!!!!!A+u!!!N!14'"c!!!#+x!Q"-"B4/.+5o"KIx=i6o!!!!(_#i!!+u!!#U!14'!a!! !#DH!Q!+!!!!'M1P!!<7LVLVLG#e!!!!!!+u!!!#!1#e!a!!!!&L!1!%!!!!!A#f!!)1!!!?!!4'!!!7!i6t;58z"CIy!a!!!!&L!1!%!!!!(_#k!!DG!!!S"o?%#U6l!!+u!!!!!&?+-9@'!&+u!a!!!!&L!1!%!!!!']&JLG+u!!!#!1#e!a!!!!&L!1!$!!!!&+!(!!!!$g-y!}1L)1/e"s+u!!!#!1#e#e!!!0>}6*Iq!!!!!!"S!1#e !0Iq!!!3/#K"1WG-#!+y!!!!(_#l!!DG!!!S"f+z2c>|!!+u!!!!!&?+-9@1!$+u!a!!!!&L!1!%!!!!']&JLG+u!!!#!1#e!a!!!!&L!1!$!!!!&+!(!!!!$g-D!{!,D7,3"s+u!!!#!1#e!a!!!#DH"#!.!!!!)Q>J!bAl!1!%!!!!!!!|#I6v23!k!!+u!!!#!1#e!a!!!#4(LVIu!!!!!A#f!!G-!!!G"#Iq$'#dLVLV!!!)!!!!;5)P $E!+Ej4+!!!!(_#g!!6k!!#_!A.[!1!!!!!!!!&O!!!!(_#m!!6k!!#_!A!!!1!!!!!!!!&O!!!!(_#n!!6k!!!F!Q&K"C2V"\G48O9U!!!!(_#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!G"1&S>K6d"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!#<=6{3}!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-)$4"aDL3u9U!!!!(_#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"(!;#m"s3i"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!"DI;53S!&&S!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&KK5'G").\;u6o!!!!(_#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",!*#m-)%G"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!++v[+f!q+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!#<=1Q1q"0DL!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&K5Y6a"9Ix=96o!!!!(_#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!~"@):/-5A"c+u!!!N!1+u!a!!!0!""C!%!!!!Iq#n!!+u!!!N!1)1"c!!!#1G#U!+!0LVLVIr!!!!!!!%!!!!!A#f!!+u!!!N!1!!!Q!!!!!!LVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLVLV  .TXT 4 -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 a29.250000,29.250000,230 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard w Width of plate overlap (in.)\par \par x Length of plate overlap (in.) \par \par h Height of one plate \par above the other (in.)\par \par er Relative dielectric \par constant of material \par between plates} .TXT 30 -2 8 0 0 Cg a30.250000,30.250000,30 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Capacitance of two plates (F):} .EQN 4 15 9 0 0 {0:CPLATE}NAME({0:w}NAME,{0:x}NAME,{0:h}NAME,{0:er}NAME):2.249*(10)^(-13)*({0:er}NAME*{0:x}NAME*{0:w}NAME)/({0:h}NAME) .TXT 8 -13 10 0 0 Cg a52.250000,52.250000,116 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard A power and ground plane separated by 0.010 in. \par of FR-4 dielectric (er = 4.5) share a capacitance of\par 100 pF/in.\\253} .TXT 8 0 11 0 0 Cg a47.250000,47.250000,47 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard Halving the separation doubles the capacitance.} .TXT 6 -2 12 0 0 Cg a52.500000,52.500000,52 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}{\f1\fcharset2\fnil Symbol;}}\plain\cf1\fs20 \pard Impedance magnitude of capacitor at frequency f ({\f1 W}):} .TXT 4 2 13 0 0 Cg a21.250000,21.250000,43 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard c Capacitance (F) \par \par f Frequency (Hz)} .EQN 8 21 14 0 0 {0:XC}NAME({0:c}NAME,{0:f}NAME):(1)/(2*{0:\p}NAME*{0:f}NAME*{0:c}NAME) .TXT 8 -21 15 0 0 Cg a32.250000,32.250000,58 {\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-pF capacitor is 16 {\f1 W}.} .EQN 6 22 16130 0 0 {0:XC}NAME(100*(10)^(-12),(10)^(8))={0}?_n_u_l_l_ .TXT 6 -24 17 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 Impedance magnitude of capacitor as seen by rising edge ({\f1 W}):} .TXT 4 2 18 0 0 Cg a27.250000,27.250000,52 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fnil Courier;}}\plain\cf1\fs20 \pard c Capacitance (F) \par \par tr 10-90% rise time (s)\par } .EQN 10 23 19 0 0 {0:XC}NAME({0:c}NAME,{0:tr}NAME):({0:tr}NAME)/({0:\p}NAME*{0:c}NAME) .TXT 8 -23 20 0 0 Cg a44.250000,44.250000,75 {\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-pF capacitor is 16 {\f1 W}.} .EQN 7 23 16131 0 0 {0:XC}NAME(100*(10)^(-12),5*(10)^(-9))={0}?_n_u_l_l_