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Which is true for admittance?
Y=X
Y=Z
Y=X1тАЛ
Y=Z1тАЛ
Y=Z1тАЛ
Admittance (Y) is defined as the reciprocal of impedance (Z) in an AC circuit. It represents the ease with which current flows through an electrical circuit, measured in Siemens (S).
Admittance (Y) is defined as the reciprocal of impedance (Z) in an AC circuit. It represents the ease with which current flows through an electrical circuit, measured in Siemens (S).
Y=Z1тАЛ тАФ Definition of admittance in terms of impedance
Y=G+jB тАФ Complex form of admittance where G is conductance and B is susceptance
In an A.C. circuit, impedance (Z) combines both resistance and reactance, constraining the current flow for a given voltage. Admittance quantifies the inverse capability, where Y=G+jB, with G as conductance and B as susceptance. As Z increases, the difficulty for current flow increases, thus decreasing the admittance.
The SI unit of admittance is Siemens (S), previously known as Mho (\mho).
Admittance is a complex quantity analogous to conductance in DC circuits.
Higher admittance values indicate lower impedance and higher current flow for a fixed voltage.
Simplifies calculation of parallel AC circuits where impedances are connected in parallel.
Allows additive calculation of parallel branches (total Y=Y1тАЛ+Y2тАЛ+...+YnтАЛ).
Can be confusing due to the complex nature of the imaginary part (susceptance).
Not as intuitive as simple resistance for beginners.
Used extensively in power system analysis and transmission line modeling.
Standard in admittance matrix (Y-bus) formulations for load flow studies.
Option A (Y=X) is incorrect as X represents reactance, not impedance.
Option B (Y=Z) is dimensionally incorrect.
Option C (Y=1/X) defines susceptance or reciprocal of reactance only, ignoring resistance.
D is correct тАФ Admittance (Y) is defined as the reciprocal of complex impedance (Z), mathematically expressed as Y=Z1тАЛ.
Always remember that while impedances add in series, admittances add in parallel (YtotalтАЛ=Y1тАЛ+Y2тАЛ), making them the preferred choice for parallel circuit problems.