Conductivity is the fundamental property of the materials to allow the flow of current through them. Based on the conductive property of the materials they are classified as Conductors, semiconductors, and insulators. Conductors are the materials that allow easy flow of current. Insulators are the materials that oppose the flow of current hence no current passes through them. The amount of current flow a conductor allows depends on the conductivity of the material. Thus, how easily a conducting device can allow the flow of current is measured using the quantity called “Admittance”.
The figure below shows an AC circuit with resistance and Inductive reactance in series.
Admittance For Series Circuit
Here R = resistance, XL =inductive reactance.
Y = 1/Z
= 1/R+jXL
= (R -jXL)/(R2 + X2L)
= R/ (R2 + X2L) -jXL/(R2 + X2L)
We know that conductance ‘G’ in an AC circuit can be written as R/ (R2 + X2L) and susceptance ‘B’ can be written as XL/(R2 + X2L).
Thus Y = R/ (R2 + X2L) -jXL/(R2 + X2L) can be written as Y = G -jBL. Here BL is the susceptance of the Inductive circuit.
Similarly for a circuit containing resistance and conductive reactance in series admittance can be derived. Here, XC denotes the conductive reactance of the circuit.
Hence, ‘Y’ can be written as Y = R/ (R2 + X2C)+jXC/(R2 + X2C)
Thus, Y = G +jBC, where BC is the Susceptance of the conductor circuit. The conductive susceptance is a negative value whereas Inductive susceptance is a positive value.
The figure below shows a parallel circuit with two branches A and B.
Admittance For Parallel Circuit
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