Electromagnetics IIUnit 3 Lines with Nonlinear Load, Crosstalk between Two LinesLecturer: Professor ean!"u #iangTe$t book: N% N% &ao, 'Elements of EngineeringElectromagnetics, ( si$th ed%, Pearson, )**+%1Unless noted, the course materials are licensed under Creati,e Commons -ttribution!NonCommercial!.hare-like 3%* Taiwan /CC 01!NC!.- 3%*2 3*)** 3*+++= ==+ =VI IV VV Isss sat t4 *, 54* at t= T, z=l

VL= 3*IL ILVL=V++VIL= I++ I= V+V3*IL= V+/VLV+23*=)V+VL3*Nonlinear Load /67)22Nonlinear Load /)7)28883* )**3*/ 2 )3* 3*s ssss sI VV V V VV V VI I I IV V V V V V V+ ++ ++ ++ + = += + + += + + = + += =at t= 2T, z=* 39ra:hic -nal;sis3*))** 3*sss sV VIV I+ =+ =3*)** 3*++= =+ =VI IV Iss s3*)3*2 /3*L LLL L LV V V V VII I V= ==+ + +4*6**%>5E$am:le >%>at t=T , z4* ****3*/ 23*)3*LLLLLV V V VIV VI I IV V V VV V V+ + + + ++= + +== + = = +=69ra:hic -nal;sis3*)*V V VILL+ =+3**V VIss=7Transmission Line with TTL Load8Crosstalk from Infinitesimal .egment* * 6)* * 6)/ 7 2 / , 2/ , 2)/ 7 2 / , 2/ , 2)m mm mCZ L Z V tV ttCZ L Z V tV tt + = + = 9Crosstalk in &e,erse ?irection dV6=V6t dt +V6 d = *t + z )vp= constantddt= vp)V6t= vp)V610Total Crosstalk in 0oth ?irections6* *)*6* */ 7 / 2 7 2/ 7 2/ , 2)/ 7 26/ 7 2)zp pm mpm mVt v z vCZ L ZV z t dtVt z vCZ L Z zt + == 6* *)* * 6/ 7 / 2 7 2/ 7 2/ , 2)6/ 7 2 / / ) 2 7 2+lp pm mzlp m m pzVt z v z vCZ L ZV z t dtV CZ L Z Vt z v == +== + + 11Copyright Declaration12Page Work Licensing !thor"#o!rce2$ 3%ean&'! (iang " )ational *ai+an ,ni-ersityThis work is licensed b; Creati,e Commons -ttribution!NonCommercial!.hare-like 3%* Taiwan 4%ean&'! (iang " )ational *ai+an ,ni-ersityThis work is licensed b; Creati,e Commons -ttribution!NonCommercial!.hare-like 3%* Taiwan 5$ 6%ean&'! (iang " )ational *ai+an ,ni-ersityThis work is licensed b; Creati,e Commons -ttribution!NonCommercial!.hare-like 3%* Taiwan Copyright Declaration13Page Work Licensing !thor"#o!rce7%ean&'! (iang " )ational *ai+an ,ni-ersityThis work is licensed b; Creati,e Commons -ttribution!NonCommercial!.hare-like 3%* Taiwan 8%ean&'! (iang " )ational *ai+an ,ni-ersityThis work is licensed b; Creati,e Commons -ttribution!NonCommercial!.hare-like 3%* Taiwan 9%ean&'! (iang " )ational *ai+an ,ni-ersityThis work is licensed b; Creati,e Commons -ttribution!NonCommercial!.hare-like 3%* Taiwan Copyright Declaration14PageWork Licensing !thor"#o!rce10%ean&'! (iang " )ational *ai+an ,ni-ersityThis work is licensed b; Creati,e Commons -ttribution!NonCommercial!.hare-like 3%* Taiwan