ABSTRACT
Thus conductance,G=R/|Z|2 and inductive susceptance, BL=−XL/|Z|2 (Note that in an inductive circuit, the imaginary termof the impedance,XL, is positive,whereas the imaginary termof the admittance,BL, is negative.)
(e) resistance and capacitance in series, then
Z=R− jXC and Y = 1 Z
= 1 R− jXC
= R+ jXC R2+X2C
i.e. Y = R R2+X2C
+ j XC R2+X2C
or
Y = R|Z|2+ j XC |Z|2
Thus conductance,G=R/|Z|2 and capacitive susceptance, BC =XC/|Z|2 (Note that in a capacitive circuit, the imaginary term of the impedance, XC , is negative, whereas the imaginary term of the admittance, BC , is positive.)
(f) resistance and inductance in parallel, then
1 Z
= 1 R
+ 1 jXL
= jXL+R (R)( jXL)
from which, Z= (R)( jXL) R+ jXL
( i.e.
