The reciprocal of the total effective resistance of LCR a.c. circuit is called

The reciprocal of the total effective resistance of LCR a.c. circuit is called
  1. impedance
  2. admittance
  3. resistance
  4. inductive and capacitive reactance

Solution

The total effective resistance of an LCR (inductor-capacitor-resistor) AC circuit is known as impedance, which is a complex quantity comprising the actual resistance and the reactances due to the inductance and capacitance. However, the reciprocal of impedance is called admittance. Admittance is a measure of how easily a circuit will allow electrical current to flow. In mathematical terms, if the impedance $Z$ is a complex number represented as : $Z=R+j X$ where $R$ is the resistance, $X$ is the reactance, and $j$ is the imaginary unit. The admittance $Y$ is the reciprocal of the impedance : $Y=\frac{1}{Z}$ So the correct answer to the question is : Option B : admittance

Asked in: MHT CET 2023 (14 May Shift 1)

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