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ECE201_Lecture32

# ECE201_Lecture32 - ECE201 Linear Circuit Analysis I Lecture...

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1 ECE201 Linear Circuit Analysis I Lecture 32 Topic: Impedance/admittance of 2-terminal devices ** Impedance Resistance Admittance Conductance : not equivalent, but can be manipulated in the same manner. 1. Z in ( j ω ) = V in I in Y in (j ω ) = I in V in Z(j ω ) Impedance = Re Z( j ω ) [ ] Resistance 1 2 4 3 4 + jI m Z(j ω ) [ ] Reac tance 1 2 4 3 4 Y(j ω ) Admit tance = Re Y(j ω ) [ ] Conduc tance 1 2 4 3 4 + j I m Y(j ω ) [ ] Susceptance 1 2 4 3 4 2. Devices in series and in parallel Z in ( j ω ) = Z 1 (j ω ) + Z 2 ( j ω ) Y in (j ω ) = 1 Z 1 (j ω ) + Z 2 (j ω ) I in + V in Two Terminal Device Z in (j ω ) or Y in (j ω ) + Z in (j ω ) or Y in (j ω ) Z 1 (j ω ) Z 2 (j ω )

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2 3. Voltage and Current Division V 1 = Z 1 (j ω ) Z 1 (j ω ) + Z 2 (j ω ) V in V 2 = Z 2 (j ω ) Z 1 (j ω ) + Z 2 (j ω ) V in I 1 = Y 1 (j ω ) Y 1 (j ω ) + Y 2 (j ω ) I in I 2 = Y 2 (j ω ) Y 1 (j ω ) + Y 2 (j ω ) I in + Z 1 (j ω ) Z 2 (j ω ) + V 1 + V 2 V in Y 1 (j ω ) Y 2 (j ω ) I in ↓ Ι 1 ↓ Ι 2 Y 1 (j ω ) Y 2 (j ω ) Y in (j ω ) Z in (j ω ) Y in (j ω ) = Y 1 ( ) + Y 2 ( ) j ω j ω Z in ( ) = Z 1 ( )Z 2 ( ) Z 1 ( ) + Z 2 ( ) j ω j ω j ω j ω j ω where