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Physical separation of signal lines minimizes mutual inductance and mutual capacitance. &U'Characteristics of Coupled InterferenceElectrically coupled current (via mutual capacitance) Current divides between source and load ends of victim Net voltages at each end are equal and in-phase Magnetically coupled voltage (via mutual inductance) Voltage is series-injected and divides between source and load ends of victim Voltages at each end are proportional to the impedance and tend to be out of phase Electrically-induced voltages and magnetically induced voltages tend to reinforce at the source end and to cancel at the load end.`6g56g5V,Mutual Inductance, Wires Over a Ground PlaneW-Mutual Capacitance, Wires Over a Ground Plane..X&Single-Point Grounding (SPG) of ReturnSingle-point grounding (SPG) of either (as illustrated) or both signal circuits eliminates coupling via common impedance and reduces mutual inductanceY!Employment of Twisted Pair Wiring~Twisting signal wire with its return essentially cancels mutual inductive coupling; capacitive coupling is slightly decreased &~~ZEffect of Wire ShielduWire shield protects victim circuit by draining capacitively-coupled currents to ground through its low impedance. &uu/9[\oWith shielded wire as a source, why does signal current not return entirely via low-impedance reference ground?pp],Attenuation Characteristics of Shielded LineNet voltage relative to total induced voltage: VO/Vi = RS/(RS + jwLS) Net leakage current relative to internal shield signal current: IG/IW = RS/(RS + jwLS) The shielding effectiveness of the cable can be defined as: SE (dB) = 20 log (|RS + jwLS | /RS) 20 log wLS/RS Note that in shielding calculations in general, and particularly at high frequencies, the shield resistance, RS, is replaced with the transfer impedance, of the shield, |ZT| 2/H<@H<<:H</     @     <     m ; ^(Inductance of a Wire Over a Ground Plane_FTransfer Impedance and Shielding Effectiveness (SE) of Typical CablesG5`Summary of Shield Action(In victim circuit, inductive voltage drop in shield return is precisely cancelled by the magnetically induced voltage in the signal circuit Net voltage induced in victim circuit is equal to the product of the shield current and the shield resistance acting as a transfer impedance The transfer impedance of a shield at frequencies below about 100 kHz (typically) is precisely equal to the resistance of the shield Depending on shield type and construction, at higher frequencies the transfer impedance can be lower or higher than the shield resistance))aSelected ReferencesbEnd of Presentation  /8sx,, ` e(HH(dh   ` ffff33` 3KIff` 8n` DDyq` ffw` jff3f̙` JyOOw3ff` 3OOw3ff` /p` 3OOw%*|` 33333ff` >?" dd@? uKd@En( E-<@E" d`  n?" dd@   @@``PB`` pB  B  9t(   9  fy??"  H 1Ȝ?" `  T Click to edit Master title style! !$  0P "p  RClick to edit Master text styles Second level Third level Fourth level Fifth level!     S ) 6T #" ``d  H*0 B 0 ZD)fԔpX?"H  0޽h ? 33f380___PPT10. 07  Pixelg  04C( @K@@  3  fy??"^ / s (B7 C DEHFPKOyd@?q 6 6 n(dx  G b q %(@"B y  BLw ?#" ` w W#Click to edit Master subtitle style$ $  6 w #" ``d w H*0 2 4 ZG1?" - Hw 1Ȝ?"h (8 w T Click to edit Master title style! !B . ZD)fԔpX?"H  0޽h ?4 33f380___PPT10. 07 0 |tp ( | 2  C x\~vv ??.  | r*  [..[[4  C x~vv ??3 . ~ t*  [..[[v  6 ??  ~^  C x( ~vv ??9 g ~ RClick to edit Master text styles Second level Third level Fourth level Fifth level!     S8  S ~~vv ??r  ~ r*  [..[[:  S ~ ~vv ??r3  ~ t*  [..[[H  0ηo~ ? 33  (@(  (  ( T\ 7  l2-* (w<<ww.  ( N̜ ~T   2IEEE/EMC 2004 Symposium Workshop  Transfer Functions in EMC Shielding Design Coupling Between Wire Lines and Application to Transfer Impedance Analysis , N L w<<ww  ( T| ` > 2004  All rights reserved. For more information, please visit www.spira-emi.com/shieldingworkshopf f 6FH ( 0ηo~ ? ̙33z *"@(    Bw -z  w j  <w ?3" v JRichard J. Mohr President, R. J. Mohr Associates, Inc. r.j.mohr@ieee.org JK(2' ,<  Zw ??"BU IEEE/EMC 2004  Coupling Between Wire Lines and Application to Transfer Impedance Analysis - All rights reserved r r   6w #" `6 B Rev. 7/19/04 0  H  0޽h ? a(,S J RR\Q(  r  S <: `   r  S 0Ȩ  XB @ 01?C }CXB  01? e  XB  01?A: XB  01?,  XB  01? ( XB  01?T  XB   01?`  ^B   61?J99^B   61?+ 66 ^B   61?` ` ^B   61?$ $ ^2  61?\ ^2  61?p 2  # C_TENGHr I`TJ_TQ1? _TS_TS`T_T_TS`T_Tf. 2   B0UENGr IQ1? p0U0U`Tp0U0U`T`T0U`T`T .   ZΨxaxa1?aT l  ALWW"    ZҨxaxa1?U `  ACWW"  XB  01?< XB  01?  L *l # =x2  HG1?Kl2  3 B]TCWTENGH N I]TJWTQ1? RQRQ]TWTRQ]TWT*KzL q # :>s2  C B]TCWTENGH N I]TJWTQ1? RQRQ]TWTRQ]TWT2   B]TENGHlfQ1? `T]TR`T]TR`T]TR`Tqj2  B1?jXB  01?@m@XB @ 01?@W @   Zxaxa1?  xw CWWVCN   " ! 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"# B i # lxaxaD1?! %_ B j # lxaxaD1?] " B k # lxaxaD1?N Op B lB # lxaxaD1?$ RP RBN % m  B n # lxaxaD1?%LB o # lxaxaD1?JOlB p # lxaxaD1?iRRB q # lxaxaD1? " B r # lxaxaD1? bL $  s# Zy : B t # lxaxaD1?m " B u # lxaxaD1? % B v # lxaxaD1? "# B w # lxaxaD1?! %_ B x # lxaxaD1?] " B y # lxaxaD1?N Op B zB # lxaxaD1?$ RP RBN % {  B | # lxaxaD1?%LB } # lxaxaD1?JOlB ~ # lxaxaD1?iRRB  # lxaxaD1? " B  # lxaxaD1? XB  01?  bL $  # Z1 B  # lxaxaD1?m " B  # lxaxaD1? % B  # lxaxaD1? "# B  # lxaxaD1?! %_ B  # lxaxaD1?] " B  # lxaxaD1?N Op B B # lxaxaD1?$ RP RBN %   B  # lxaxaD1?%LB  # lxaxaD1?JOlB  # lxaxaD1?iRRB  # lxaxaD1? " B  # lxaxaD1? XB  01?#XB  01?1    B?CIDEFq++I2 2I^s2I22I!2-<Qh}2I2 "1=2?I?I?$VX@@6 + j  H  0޽h ?45 7 8 a(y___PPT10Y+D=' b= @B +?  $??ptL>(  r s S ys `  s r t S yslj s jr @ BG1?XB  01?H  XB  01??  XB  01?" r " XB  01? && L Y ? F  #    N @     @  N @ y    @ y x2   HG1?A y 2   3 B]TCWTENGH N I]TJWTQ1? RQRQ]TWTRQ]TWT@ x |N v     v  2  C B]TCWTENGH N I]TJWTQ1? RQRQ]TWTRQ]TWTv  2   B]TENGHlfQ1? `T]TR`T]TR`T]TR`Tv  l2  <1?Y ? `B  01? F XB  01?"XB @ 01?  Z$sxaxa1?AN  BCWS "  ^B  61? & ^B  61? > L _ #  T `B  01?`B B 01?"Y`B B 01?(G_`B B 01?%\L bV #  ) `B  01?`B B 01?bP`B B 01?V`B  B 01?XSL S U  !#   ,`B " 01?VS J S `B #B 01?W _ `B $B 01?]  `B %B 01? Z U L J :  &#  v#`B ' 01?;J /J `B (B 01?N D `B )B 01?oT  `B *B 01?Q : bL $  +# Z ` B , # lxaxaD1?m " B - # lxaxaD1? % B . # lxaxaD1? "# B / # lxaxaD1?! %_ B 0 # lxaxaD1?] " B 1 # lxaxaD1?N Op B 2B # lxaxaD1?$ RP RBN % 3  B 4 # lxaxaD1?%LB 5 # lxaxaD1?JOlB 6 # lxaxaD1?iRRB 7 # lxaxaD1? " B 8 # lxaxaD1? bL $  9# Z( < B : # lxaxaD1?m " B ; # lxaxaD1? % B < # lxaxaD1? "# B = # lxaxaD1?! %_ B > # lxaxaD1?] " B ? # lxaxaD1?N Op B @B # lxaxaD1?$ RP RBN % A  B B # lxaxaD1?%LB C # lxaxaD1?JOlB D # lxaxaD1?iRRB E # lxaxaD1? " B F # lxaxaD1? B G  `xaxaD1?  bL $  H# Z@= B I # lxaxaD1?m " B J # lxaxaD1? % B K # lxaxaD1? 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" B c # lxaxaD1? 2 d H1?"0@NNN?NB&tB e TD1?"0@NNN?Nta B f@ TD1?"0@NNN?NZ Z 2 g H1?"0@NNN?NLa~B h TD1?"0@NNN?NfS B i@ TD1?"0@NNN?NF F B j TD1?"0@NNN?NttB k TD1?"0@NNN?NLLB l ZD1?"0@NNN?N ( B m ZD1?"0@NNN?Nl y 2 n B1?"0@NNN?N  [2 o@ B1?"0@NNN?Nf & 1H  0޽h ?o`  no a(80___PPT10.@@Ǿcc 0c(cP0 ta(    T <|xaxa1?d  \RVO = IG(-jwLWS + RS + jwLS) + Vi - Vi But LWS = LS, and IG = Vi/(RS + jwLS), therefore, VO/Vi = RS/(RS + jwLS) At high frequencies, where wLS>>RS, VO/Vi = RS/wLS<<1 [H  H 7                              ZD6|xaxa1?HF- @External magnetic field induces equal Vi in both wire and shield8A '   Zj|xaxa1?* {EShorted current in shield induces canceling voltage in shielded wire.F F  Zn|xaxa1?$F j"Shielded wire with grounded shield,  K#  Zt|xaxa1?a  HEquivalent circuit ~8 *ZZ Gr=lB   <1?Yr2   B1?,fB   61?Y**fB  61?]  fB  61? fB  61?  'T Q # *W`B  01?`B B 01?!L`B B 01?6&qQ`B B 01?$NfB  61? fB  61?!fB B 61?2  # ;E$GHٯ I`TQ1? `TS`TS`T`T`TS`T`TKT ,_ # e.MZ`B  01?,,`B B 01?0Z`B B 01?"5]_`B B 01?2]fB  61?*fB   61?IIfB !B 61?M "  `||xaxa1?9Z= @VO"  jT $  ## ZB $ # lxaxaD1?m " B % # lxaxaD1? % B & # lxaxaD1? "# B ' # lxaxaD1?! %_ B ( # lxaxaD1?] " B ) # lxaxaD1?N Op B *B # lxaxaD1?$ RP RBN % +  B , # lxaxaD1?%LB - # lxaxaD1?JOlB . # lxaxaD1?iRRB / # lxaxaD1? " B 0 # lxaxaD1? r  H 1?"6@ NNN?N*ZB8 F=  F=    `|xaxa1?F + AVi "      `|xaxa1?= ESignal conductor KfB 2B 61?=  3  `|xaxa1?   3+ fB 4B 61?'; 'T    5# D  `B 6 01?  `B 7B 01?  `B 8B 01?" ] `B 9B 01?  fB : 61? ''fB ; 61? fB < 61?N  fB = 61?N fB >B 61?N N  ?  `||AA1? ^  _LWS"  q @  `X|AA1?   ^LS"  q A  ` |AA1?E 6  ^RS"  qLT G B# g R 2 C  B^TENGHBgQ1? `T^TIS`T^TIS`T^TIS`TM2 D 3 C^TENGHA I`TJ^TQ1? ^THS^THS`T^T^THS`T