The Admittance Triangle is a graphical representation used in alternating current (AC) circuit analysis to understand the relationships between impedance, admittance, and phase angle. It is similar in concept to the impedance triangle but focuses on the inverse of impedance, which is admittance.
Here's how the Admittance Triangle works:
Impedance (Z): Impedance is the total opposition to the flow of AC current in a circuit. It is represented by the complex number Z = R + jX, where R is the resistance and X is the reactance (inductive or capacitive).
Admittance (Y): Admittance is the reciprocal of impedance and represents the ease with which current flows through a circuit. It is represented by the complex number Y = G + jB, where G is the conductance and B is the susceptance.
Conductance (G) = 1 / R
Susceptance (B) = 1 / X
Phase Angle (θ): The phase angle represents the phase difference between the voltage and current in an AC circuit. It's the angle by which the current lags or leads the voltage. This angle is crucial in determining the relationship between impedance and admittance.
Now, let's talk about the Admittance Triangle:
Imagine a right-angled triangle, similar to the impedance triangle. However, instead of having the impedance vector Z, you have the admittance vector Y. The horizontal leg represents the real part of admittance (conductance, G), and the vertical leg represents the imaginary part of admittance (susceptance, B). The hypotenuse represents the magnitude of admittance (|Y|).
The angle θ between the hypotenuse (admittance vector Y) and the horizontal leg (conductance, G) is the phase angle.
In summary, the Admittance Triangle is a graphical representation that helps you understand the relationship between conductance, susceptance, and phase angle in an AC circuit. It's a useful tool for analyzing AC circuits, especially when dealing with complex impedances and phase differences.