C1-3: Equivalent of the Linear Network with Two Terminals C1-3: Equivalent of the Linear Network with Two Terminals (One-port Network) (One-port Network) The equivalent of resistance elements 2.The equivalent of dynamic elements 0)=V R=R1+R2+ 0)=c V=R1+R2=l(R1+R2) Completely the same If 1(t)is limited(oc), v(t)is milarly, when paralleled: G=G+G? a continuous function (t)=r(0)+-|r(n)d(r) The voltage of the capacitance C1-3: Equivalent of the Linear Network with Two Terminals C1-3: Equivalent of the Linear Network with Two Terminals 2.The equivalent of dynamic elements 3.The equivalent of source Inductance: i(t).1(0)0 v()=L i(t) Ifv(t) is limited(≠∞,f(t)isa ontinuous function. f components paralleled with the ideal voltage source have nothing to do with the outer circuits. ()=1(0)+7v(d( The current of the inductance can It change shapely omponents in series wah the ideal current source have nothing to do wih the outer circuits. C1-3: Equivalent of the Linear Network with Two Terminals C1-3: Equivalent of the Linear Network with Two Terminals k Network 3. The equivalent of source: (equivalent of practical source) 3. The equivalent of source: (equivalent of practical source) i(t) R Practical vltage E Thevenin's [equivalent condition: VR1. Ideal voltage Practical source i(t) i(t) Source R, v(t) R v(t) v(t=RL-R.i(t Practical curre Nortons source circuits北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 + I R - V Similarly, when paralleled: G=G1+G2 V I + - R1 R2 1.The equivalent of resistance elements = R=R1+R2 I-V equations Completely the same V=IR1+IR2=I(R1+R2) V=IR C1-3：Equivalent of the Linear Network with Two Terminals (One-port Network) 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学∫ wwhu 北京大学 = + t i t d t C v t v 0 ( ) ( ) 1 ( ) (0) 2.The equivalent of dynamic elements + v(t) - i(t) dt dv t i t C ( ) ( ) = Capacitance : The voltage of the capacitance can’t change shapely. If i(t) is limited (≠∝), v(t) is a continuous function. *** 0 v V (0) = + v(t) - i(t) + - V V s = 0 v(0) 0 = C1-3：Equivalent of the Linear Network with Two Terminals (One-port Network) 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu = 北京大学 + ∫ t v t d t wwhu 北京大学 L i t I 0 ( ) ( ) 1 ( ) (0) dt di t v t L ( ) ( ) = Inductance : The current of the inductance can’t change shapely. If v (t) is limited (≠∝), i(t) is a continuous function. + v(t) - i(t) I(0)≠0 I(0)=0 + v(t) - i(t) Is= I(0) *** 2.The equivalent of dynamic elements C1-3：Equivalent of the Linear Network with Two Terminals (One-port Network) 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 is1 is2 s = ∑ si i i ＋ － ++ - ＋ － ++ - ＋ － ++ - s = ∑ si v v 3.The equivalent of source + - = ? + - = ? *** Components paralleled with the ideal voltage source have nothing to do with the outer circuits. Components in series with the ideal current source have nothing to do with the outer circuits. C1-3：Equivalent of the Linear Network with Two Terminals (One-port Network) { 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 3.The equivalent of source: (equivalent of practical source) 0 I V I=Is 0 I V V=Vs Ideal voltage source 0 I V Is Vs + - vs Rs Is Rs + - + - v(t) i(t) v(t) i(t) C1-3：Equivalent of the Linear Network with Two Terminals (One-port Network) Ideal current source Practical source 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 Practical voltage source + - vs Rs Is Rs + - + - v(t) i(t) v(t) i(t) 0 I V Vs 0 I V Is Vs/Rs RsIs v(t)=Vs-Rsi(t) v(t)=RsIs-Rsi(t) equivalent condition： Vs =Rs I Thévenin's s source circuits Norton’s source circuits *** C1-3：Equivalent of the Linear Network with Two Terminals 3.The equivalent of source: (equivalent of practical source) Practical current source