The impedance (Z) of an RLC circuit with 15 $\Omega$ resistor, 7 $\Omega$ capacitive reactance, and 12 $\Omega$ inductive reactance is
A) 16 $\Omega$
B) 12 $\Omega$
C) 18 $\Omega$
D) 20 $\Omega$

Question

Quizplus · Accepted Answer

The impedance (Z) of an RLC circuit is calculated using the formula $Z = \sqrt{R^2 + (X_L - X_C)^2}$, where $R$ is the resistance, $X_L$ is the inductive reactance, and $X_C$ is the capacitive reactance. Substituting the given values, $Z = \sqrt{15^2 + (12 - 7)^2} = \sqrt{225 + 25} = \sqrt{250} = 15.81 \Omega$, which is approximately 16 $\Omega$.

The Impedance (Z) of an RLC Circuit with 15 Ω\OmegaΩ Resistor, 7

The Impedance (Z) of an RLC Circuit with 15 $\Omega$ Resistor, 7