Direction: The following item consists of two statements, one labeled as ‘Statement (I) and the other as ‘Statement (II). You are to examine these two statements carefully and select the answers to these items using the code given below:

Statement (I): ABCD parameters are widely used in the analysis of power transmission engineering and termed as circuit parameters.

Statement (II): ABCD parameters are called as transmission parameters.

Concept:

There are four variables V₁, V₂, I₁, and I₂ in a two-port network as shown in the figure:

\(\left[ {\begin{array}{*{20}{c}} {{V_1}}\\ {{I_1}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} A&B\\ C&D \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{V_2}}\\ { - {I_2}} \end{array}} \right]\)

Where,

\(A= {\left. {\frac{{{V_1}}}{{{V_2}}}} \right|_{{I_2} = 0}}\)

\(B=- {\left. {\frac{{{V_1}}}{{{I_2}}}} \right|_{{V_2} = 0}}\)

\(C= {\left. {\frac{{{I_1}}}{{{V_2}}}} \right|_{{I_2} = 0}}\)

\(D=\; - {\left. {\frac{{{I_1}}}{{{I_2}}}} \right|_{{V_2} = 0}}\)

• T parameters are called as the transmission parameters or ABCD parameters (Reason is true).
• The parameters, A and D do not have any units, since these are dimensionless.
• The units of parameters, B and C are ohm and mho respectively.
• These parameters are used for the analysis of an electrical network.
•  It is also used for determining the performance of input voltage, output voltage, and current of the transmission network. (Assertion is true).
• ABCD parameters are also known as transmission parameters because they provide a link between supply and receiving end voltages and currents considering the circuit elements to be linear. (Statement 2 is not the correct explanation to statement 1)