JEE Main & Advanced Physics Alternating Current / प्रत्यावर्ती धारा Impedance, Reactance, Admittance and Susceptance

Impedance, Reactance, Admittance and Susceptance

Category : JEE Main & Advanced

(1) Impedance (Z) : The opposition offered by ac circuits to the flow of ac through it is defined it's impedance. It's unit is ohm\[(\Omega )\].

(2) Reactance (X) : The opposition offered by inductor or capacitor or both to the flow of ac through it is defined as reactance. It is of following two type

(i) Inductive reactance \[({{X}_{L}})\] : Offered by inductive circuit \[{{X}_{L}}=\omega L=2\pi \nu L\]\[{{\nu }_{dc}}=0\] so for dc, \[{{X}_{L}}=0\].

Capacitive reactance \[({{X}_{C}})\] : Offered by capacitive circuit \[{{X}_{C}}=\frac{1}{\omega C}=\frac{1}{2\pi \nu C}\]for dc \[{{X}_{C}}=\infty \].

(3) Admittance (Y) : \[Z=\frac{{{V}_{0}}}{{{i}_{0}}}=\frac{{{V}_{rms}}}{{{i}_{rms}}}\] Reciprocal of impedance is known as admittance \[\left( Y=\frac{1}{Z} \right).\] It?s unit is mho

(4) Susceptance (S) : the reciprocal of reactance is defined as susceptance \[\left( S=\frac{1}{X} \right).\] It is of two type

(i) inductive susceptance \[{{S}_{L}}=\frac{1}{{{X}_{L}}}=\frac{1}{2\pi \nu \,L}\] and

(ii) Capacitive susceptance, \[{{S}_{C}}=\frac{1}{{{X}_{C}}}=\omega \,C=2\pi \nu \,C\].


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