HHHHHHHHHHHHHHHHHHHHHHHRL串联电路如图，求在@=106rad/s时的等效并例联电路。502解RL串联电路的阻抗为：X, = @ L = 10° ×0.06×10-3 = 6020.06mHZ = R + jX, = 50 + j60 = 78.1Z50.2°21= 0.0128 -50.2°QY-78.1Z50.20Z= 0.0082 - j0.0098 SR'1R122QG0.0082= 0.102mH0.0098这回上页下页
例 RL串联电路如图，求在＝106rad/s时的等效并 联电路。 解 RL串联电路的阻抗为： = + = + = 0 Z R jXL 50 j60 78.1 50.2 = = = − 10 0.06 10 60 6 3 XL L 0.06mH 50 R’ L’ j S Z Y 0.0082 0.0098 0.0128 50.2 78.1 50.2 1 1 0 0 = − = − = = = = = 122 0.0082 1 1 ' ' G R L 0.102mH 0.0098 ' 1 = =
HHHHHHHHHHHHHHHHHHHHH89.2阻抗（导纳）的串联和并联Series & Parallel of Impedances & Admittances1.阻抗的串联Z.Z1Z2ZtO.U十U =U +U, +...+U, =- i(z, +z, +...+ z,)= izZ=z,=Z(R,+jXt)Z分压公式iUU,=Zk=1k=l友回贝
§9.2 阻抗（导纳）的串联和并联 Series & Parallel of Impedances & Admittances U = U 1 +U 2 ++U n = I (Z1 + Z2 ++ Zn ) = I Z Z + - U I U Z Z U i i 分压公式 = = = = = + n k n k k k k Z Z R jX 1 1 ( ) Z1 + Z2 Zn U － I 1. 阻抗的串联
HHHHHHHHHHHHHHHHHHHHHHH2.导纳的并联6+ü+YYUI0i =i, +i, +...+i, =U(Y +Y, +...+Y,)=UYi,=岁分流公式→Y=ZY=-Z(G,+jB.)两个阻抗乙1、Z,的并联等效阻抗为：Z,Z,z=Z, + Z2上页这回贝
= = = = + n k n k k k k Y Y G jB 1 1 ( ) 分流公式 I Y Y I i i = 2. 导纳的并联 Y1 + Y2 Yn － U I Y + - U I I = I 1 + I 2 ++ I n = U (Y1 +Y2 ++Yn ) = U Y 两个阻抗Z1、Z2的并联等效阻抗为： 1 2 1 2 Z Z Z Z Z + =
HHHHHHHHHHHHHHHHHHHHHHH例求图示电路的等效阻抗，の=105rad/s。解感抗和容抗为：R13021002X, = @ L=105 ×1×10-3 =1002R21mH0.1μuF11Xc ==1002105×0.1×10-6ac) = 30 + j100 ×(100- j100)jXr(R - jXc)Z=R +-100jX,+R, - jXc= 130 + j1002上页返回下页
例 求图示电路的等效阻抗， ＝105rad/s 。 解 感抗和容抗为： = + − = + + − − = + 130 100 100 100 (100 100) 30 ( ) 2 2 1 j j j jX R jX jX R jX Z R L C L C = = = − 10 1 10 100 5 3 XL L = = = − 100 10 0.1 10 1 1 5 6 C XC 1mH 30 100 0.1F R1 R2
HHHHHHHHHHHHHHHHHHHHHHHU.例图示为RC选频网络，试求u，和u.同相位的条件及=?U.解设: Z,=R—jXc,Z2-R//(-jXc)C+RU.-iz福ui-jXc心Z, +Z2Q-jXcU_Z.+Z=1+2+=RZ2Z2U。Y春R- jXZ(R- jX)Z2- jRXc- jRXc/(R- jXc)R?- XR2- X- j2RXc中=实数=2+1RXc- jRXU=1+2=3R= XU.上页返回下页
例 图示为RC选频网络，试求u1和u0同相位的条件及 ? 0 1 = U U -jXC － R － ＋ ＋ R uo u1 -jXC 解 设：Z1=R－jXC, Z2=R//(-jXC) 1 2 1 2 Z Z U Z Uo + = 2 1 2 1 1 2 1 Z Z Z Z Z U U o = + + = = 实 数 − = + − − − = − − = − − − = C C C C C C C C C C RX R X j jRX R X j RX jRX R jX jRX R jX R jX Z Z 2 2 2 2 2 2 1 2 2 ( ) ( ) R = XC 1 2 3 1 = + = Uo U