AP Physics 2mediummcq1 pt

An LC circuit consists of a 2.0 mH inductor and a 5.0 μF capacitor. What is the resonant frequency of this circuit?

A.C) 4.0 × 10^3 Hz
B.A) 1.6 × 10^3 Hz
C.B) 2.5 × 10^3 Hz
D.D) 6.3 × 10^3 Hz

Explanation

Core Concept

The resonant frequency of an LC circuit is given by f = 1/(2π√(LC)). Substituting L = 2.0 × 10^-3 H and C = 5.0 × 10^-6 F, we get f = 1/(2π√((2.0 × 10^-3 H)(5.0 × 10^-6 F))) = 1/(2π√(10^-8)) = 1/(2π × 10^-4) ≈ 1.6 × 10^3 Hz.

Correct Answer

BA) 1.6 × 10^3 Hz

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