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For a medium length transmission line constant A is
Equal to constant B
Equal to constant C
Equal to constant D
None of above
Equal to constant D
For any reciprocal, linear, two-port network, the ABCD parameters must satisfy the condition ADтИТBC=1. In a transmission line model, because the network is symmetric and reciprocal, the constants A and D are always equal.
For any reciprocal, linear, two-port network, the ABCD parameters must satisfy the condition ADтИТBC=1. In a transmission line model, because the network is symmetric and reciprocal, the constants A and D are always equal.
ADтИТBC=1 тАФ Reciprocity condition for a two-port network
A=D тАФ Symmetry condition for transmission lines
A transmission line is modeled as a passive, linear, bilateral two-port network. By the principle of reciprocity for such networks, the determinant of the transmission (ABCD) matrix must be unity. For a medium-length line (╧А or T models), the circuit is physically symmetrical (input and output conditions are identical), which forces the condition A=D.
A and D are dimensionless parameters.
B is the transfer impedance (ohms).
C is the transfer admittance (siemens).
All transmission lines are considered reciprocal networks.
Simplifies calculation of voltage regulation.
Allows easier cascading of multiple line sections.
Power system steady-state analysis.
Stability studies of electrical grids.
The constant A represents the voltage ratio VsтАЛ/VrтАЛ under open-circuit conditions.
The constant D represents the current ratio IsтАЛ/IrтАЛ under short-circuit conditions.
C is correct тАФ For a medium length transmission line, which is a reciprocal and symmetrical network, the constant A is equal to the constant D.
Remember that for all transmission lines (short, medium, and long), the reciprocity condition ADтИТBC=1 always holds true.