
In , admittance is a measure of how easily a circuit or device will allow a current to flow. It is defined as the of , analogous to how are defined. The unit of admittance is the (symbol S); the older, synonymous unit is , and its symbol is ℧ (an upside-down uppercase omega Ω). coined the term admittance in December 1887. Heaviside used Y to represent the magnitude of admittance. Capacitive susceptance is a negative value, whereas Inductive susceptance is a positive value. In an AC circuit, admittance is denoted by the symbol ‘Y’. [pdf]
If we take inductive reactance to be positive and define reactance in general to be the imaginary component of impedance then we have defined capacitive reactance to be negative by association. @IgnacioVazquez-Abrams: Yes, that what that textbook is doing. The impedance of a capacitor is given by the formula:
Capacitive susceptance is a negative value, whereas Inductive susceptance is a positive value. In an AC circuit, admittance is denoted by the symbol ‘Y’. The units for admittance are ‘Siemens’ similar to the units of conductance. The word ‘Admittance’ was first used by the English engineer, physicist, and mathematician Oliver Heaviside in 1887.
Besides the conductance of the material, the Admittance value also depends on the Susceptance of the circuit. Susceptance of a material is defined as the ease with which it allows the change in the current flowing through it. It is denoted by the letter – B. Susceptance is the inverse of reactance.
If you're specifically talking about a capacitor, you can assume it's a capacitive device, and it's reactance is guaranteed to be negative (hence you can ignore the negative sign and assume it's negative given the context). I wouldn't call either of these sources incorrect, but perhaps poorly/ambiguously worded.
Using the impedance value one can easily derive the Admittance values of the circuit. Admittance ‘Y’ can be measured as Y = 1/Z where ‘Z’ is the impedance, Z = R+jX. So, admittance ‘Y’ can be written as, Y = 1/R+jX. Thus, the formula of Admittance when derived from Impedance is, Y = (R -jX/ (R 2 + X 2 )).
L S(b) Reactance and Susceptance of a CapacitorWhen a capacitor is connected to an alternating supply, the alternations of voltage cause an alt rnating chargi current, and is given by impedance, Z = E/1 ohmwhere E is the r.m.s. voltage applied to the element, branch, or circui
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