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While analysing a two-port network, which of the following parameters are obtained when one-port variables are expressed in terms of the other port variables?
- a)Y-parameters
- b)T-parameters
- c)h-parameters
- d)g-parameters
Correct answer is option 'B'. Can you explain this answer?
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While analysing a two-port network, which of the following parameters...
Expressing one port variables in terms of the other port variables,
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(V1,I1) = f(V2, - I2)
The parameters so obtained are the T-parameters or the ABCD-parameters.
These are used for the analysis of the power transmission line. The input and output ports are the sending and the receiving ends respectively.
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While analysing a two-port network, which of the following parameters...
Answer:
When analyzing a two-port network, the parameters used to describe its behavior can be categorized into four types: Y-parameters, T-parameters, h-parameters, and g-parameters. Each parameter set provides a different representation of the network's characteristics.
Y-parameters:
Y-parameters describe the relationship between the current and voltage variables of a two-port network. They are expressed as a matrix of admittances and are defined as the ratio of the complex current at one port to the complex voltage at the other port, with the remaining port short-circuited. The Y-parameters are given by the equation:
Y = [I_1/V_1, I_2/V_1, I_1/V_2, I_2/V_2]
h-parameters:
h-parameters describe the relationship between the current and voltage variables of a two-port network. They are expressed as a matrix of hybrid parameters and are defined as the ratio of the complex current at one port to the complex voltage at the other port, with the remaining port open-circuited. The h-parameters are given by the equation:
h = [I_1/V_1, V_2/V_1, I_1/I_2, V_2/I_2]
g-parameters:
g-parameters describe the relationship between the current and voltage variables of a two-port network. They are expressed as a matrix of conductances and are defined as the ratio of the complex voltage at one port to the complex current at the other port, with the remaining port short-circuited. The g-parameters are given by the equation:
g = [V_1/I_1, V_2/I_1, V_1/I_2, V_2/I_2]
T-parameters:
T-parameters describe the relationship between the voltage variables of a two-port network. They are expressed as a matrix of transmission parameters and are defined as the ratio of the complex voltage at one port to the complex voltage at the other port, with the remaining port short-circuited. The T-parameters are given by the equation:
T = [V_1/V_1, V_2/V_1, I_1/V_1, I_2/V_1]
Conclusion:
In the given question, it is mentioned that one-port variables are expressed in terms of the other port variables. Among the four parameter sets, the T-parameters provide a representation of the network's behavior by expressing the voltage variables in terms of each other. Therefore, the correct answer is option B, T-parameters.
When analyzing a two-port network, the parameters used to describe its behavior can be categorized into four types: Y-parameters, T-parameters, h-parameters, and g-parameters. Each parameter set provides a different representation of the network's characteristics.
Y-parameters:
Y-parameters describe the relationship between the current and voltage variables of a two-port network. They are expressed as a matrix of admittances and are defined as the ratio of the complex current at one port to the complex voltage at the other port, with the remaining port short-circuited. The Y-parameters are given by the equation:
Y = [I_1/V_1, I_2/V_1, I_1/V_2, I_2/V_2]
h-parameters:
h-parameters describe the relationship between the current and voltage variables of a two-port network. They are expressed as a matrix of hybrid parameters and are defined as the ratio of the complex current at one port to the complex voltage at the other port, with the remaining port open-circuited. The h-parameters are given by the equation:
h = [I_1/V_1, V_2/V_1, I_1/I_2, V_2/I_2]
g-parameters:
g-parameters describe the relationship between the current and voltage variables of a two-port network. They are expressed as a matrix of conductances and are defined as the ratio of the complex voltage at one port to the complex current at the other port, with the remaining port short-circuited. The g-parameters are given by the equation:
g = [V_1/I_1, V_2/I_1, V_1/I_2, V_2/I_2]
T-parameters:
T-parameters describe the relationship between the voltage variables of a two-port network. They are expressed as a matrix of transmission parameters and are defined as the ratio of the complex voltage at one port to the complex voltage at the other port, with the remaining port short-circuited. The T-parameters are given by the equation:
T = [V_1/V_1, V_2/V_1, I_1/V_1, I_2/V_1]
Conclusion:
In the given question, it is mentioned that one-port variables are expressed in terms of the other port variables. Among the four parameter sets, the T-parameters provide a representation of the network's behavior by expressing the voltage variables in terms of each other. Therefore, the correct answer is option B, T-parameters.
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While analysing a two-port network, which of the following parameters are obtained when one-port variables are expressed in terms of the other port variables?a)Y-parametersb)T-parametersc)h-parametersd)g-parametersCorrect answer is option 'B'. Can you explain this answer?
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