LCR Circuit Resonance
This simulation demonstrates resonance in an LCR circuit as described in Example 7.9, showing how impedance, current, and power vary with frequency.
Angular Frequency
222.1 rad/s
ω = 2πν
Impedance (Z)
3.00 Ω
Z = √(R² + (XL - XC)²)
Current (I)
66.7 A
I = V/Z
Resonant Frequency
35.4 Hz
νr = 1/(2π√(LC))
Power Dissipated
13.35 kW
P = I²R
Quality Factor (Q)
2.63
Q = ω0L/R
Explanation (from Example 7.9):
This simulation shows an LCR circuit with R = 3Ω, L = 25.48 mH, and C = 796 μF. At resonance (35.4 Hz):
- Impedance (Z) is minimum and equal to resistance (3Ω)
- Current (I) reaches maximum value (66.7 A)
- Power dissipation is maximum (13.35 kW)
Resonance occurs when XL = XC, causing the imaginary part of impedance to cancel out (ω0 = 1/√(LC)).
