An LRC series circuit consists of an 85.0-Ω resistor, a 14.0-μF capacitor, a 1.50-mH inductor, and a variable frequency ac source of voltage amplitude 13.25 V. At what angular frequency will the inductive reactance be 4.00 times as large as the capacitive reactance? A) 1.38 × 10⁴ rad/s B) 6.90 × 10³ rad/s C) 3.45 × 10⁴ rad/s D) 2.20 × 10⁴ rad/s E) 1.10 × 10⁴rad/s

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Quizplus · Accepted Answer

The inductive reactance is 4.00 times as large as the capacitive reactance when $$XL=4.00XC$$$$2\pi fL=4.00\frac{1}{2\pi fC}$$$$f=\frac{1}{2\pi\sqrt{LC}}=\frac{1}{2\pi\sqrt{(1.50	imes10^{-3}	ext{ H})(14.0	imes10^{-6}	ext{ F})}}$$$$f=1.38	imes10^4	ext{ rad/s}$$

An LRC Series Circuit Consists of an 85