Series Connection of One-Ports

• Series Impedances Sum:
  $$R(s) = R_1(s) + R_2(s)$$

• Admittance:
  $$\Gamma(s) = {1\over {1\over \Gamma_1(s)} + {1\over \Gamma_2(s)}} = {\Gamma_1 \Gamma_2 \over \Gamma_1 + \Gamma_2}$$

Physical Reasoning:

• Common Velocity $\Rightarrow$ Series connection
• Summing Forces $\Rightarrow$ Series connection