An RLC series circuit has a 400 $\Omega$ resistance,a 2.5 mH inductor,and a capacitor.If the circuit is in resonance at 30 kHz,what is the capacitive reactance? A) 4.0 $\times$ 10² $\Omega$ B) 6.2 $\times$ 10² $\Omega$ C) 4.7 $\times$ 10² $\Omega$ D) 71 $\Omega$ E) 0.00

Question

Quizplus · Accepted Answer

At resonance, the inductive reactance equals the capacitive reactance. The inductive reactance $X_L = 2\pi f L$, where $f = 30 \text{kHz}$ and $L = 2.5 \text{mH}$. Calculating $X_L$ gives approximately 471 $\varOmega$, which is the capacitive reactance at resonance.

An RLC Series Circuit Has a 400 Ω\OmegaΩ Resistance,a 2 ×\times× 102 Ω\OmegaΩ

An RLC Series Circuit Has a 400 $\Omega$ Resistance,a 2 $\times$ 10² $\Omega$