What are the Y parameters of a 2 port network?
2 Answers
The Y parameters, or admittance parameters, of a two-port network describe the relationship between the currents and voltages at the ports. They are defined as follows:
For a two-port network with port voltages \( V_1 \) and \( V_2 \) and port currents \( I_1 \) and \( I_2 \):
1. **\( Y_{11} \)**: This is the input admittance at port 1 when port 2 is short-circuited. It is defined as:
\[
Y_{11} = \frac{I_1}{V_1} \bigg|_{V_2 = 0}
\]
2. **\( Y_{12} \)**: This is the reverse transfer admittance, representing the current at port 1 when port 2 is excited. It is defined as:
\[
Y_{12} = \frac{I_1}{V_2} \bigg|_{V_1 = 0}
\]
3. **\( Y_{21} \)**: This is the reverse transfer admittance, representing the current at port 2 when port 1 is excited. It is defined as:
\[
Y_{21} = \frac{I_2}{V_1} \bigg|_{V_2 = 0}
\]
4. **\( Y_{22} \)**: This is the output admittance at port 2 when port 1 is short-circuited. It is defined as:
\[
Y_{22} = \frac{I_2}{V_2} \bigg|_{V_1 = 0}
\]
These parameters can be used to analyze the behavior of the network in terms of currents and voltages, allowing for easier calculations in circuit analysis.
For a two-port network with port voltages \( V_1 \) and \( V_2 \) and port currents \( I_1 \) and \( I_2 \):
1. **\( Y_{11} \)**: This is the input admittance at port 1 when port 2 is short-circuited. It is defined as:
\[
Y_{11} = \frac{I_1}{V_1} \bigg|_{V_2 = 0}
\]
2. **\( Y_{12} \)**: This is the reverse transfer admittance, representing the current at port 1 when port 2 is excited. It is defined as:
\[
Y_{12} = \frac{I_1}{V_2} \bigg|_{V_1 = 0}
\]
3. **\( Y_{21} \)**: This is the reverse transfer admittance, representing the current at port 2 when port 1 is excited. It is defined as:
\[
Y_{21} = \frac{I_2}{V_1} \bigg|_{V_2 = 0}
\]
4. **\( Y_{22} \)**: This is the output admittance at port 2 when port 1 is short-circuited. It is defined as:
\[
Y_{22} = \frac{I_2}{V_2} \bigg|_{V_1 = 0}
\]
These parameters can be used to analyze the behavior of the network in terms of currents and voltages, allowing for easier calculations in circuit analysis.
The Y parameters, or admittance parameters, of a 2-port network describe the relationship between the currents and voltages at the ports of the network. For a 2-port network, the Y parameters are defined as follows:
1. **Y11**: This is the input admittance when the output port is short-circuited. It represents the admittance seen looking into the input port.
2. **Y12**: This is the reverse transfer admittance. It describes the effect of the output voltage on the input current when the output port is short-circuited.
3. **Y21**: This is the forward transfer admittance. It shows the effect of the input voltage on the output current when the input port is short-circuited.
4. **Y22**: This is the output admittance when the input port is short-circuited. It represents the admittance seen looking into the output port.
These parameters can be used to analyze and design electronic circuits by providing insights into how the circuit behaves with respect to changes in voltage and current at the ports.
1. **Y11**: This is the input admittance when the output port is short-circuited. It represents the admittance seen looking into the input port.
2. **Y12**: This is the reverse transfer admittance. It describes the effect of the output voltage on the input current when the output port is short-circuited.
3. **Y21**: This is the forward transfer admittance. It shows the effect of the input voltage on the output current when the input port is short-circuited.
4. **Y22**: This is the output admittance when the input port is short-circuited. It represents the admittance seen looking into the output port.
These parameters can be used to analyze and design electronic circuits by providing insights into how the circuit behaves with respect to changes in voltage and current at the ports.