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RLC Circuit Resonance
AP Physics C · E&M — AC Circuits
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Learning Objectives
Calculate resonant frequency: ω₀ = 1/√(LC)
Understand impedance Z = √(R² + (ωL − 1/ωC)²)
Observe current peak at resonance where Z = R (minimum)
Analyze quality factor Q = ω₀L/R
Key Equations
Z = √(R² + (X_L − X_C)²)
X_L = ωL, X_C = 1/(ωC)
ω₀ = 1/√(LC)
I = Vâ‚€/Z
Q = ω₀L/R
Tags
RLC
resonance
impedance
AC circuit
AP Physics C E&M
ω₀
0 rad/s
I_max
0 A
Q
0
R (Ω)
10
L (mH)
100
C (μF)
10
Vâ‚€ (V)
10
At Resonance
ω₀
0
fâ‚€ (Hz)
0
Z_min
0
I_max
0
Q Factor
0
BW (rad/s)
0
Quick Quiz
At resonance in an RLC circuit, the impedance equals:
R (resistance only)
Zero
X_L + X_C
Infinity