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Module 7: Resonance

Series Resonant Circuit

Let \( V=10 \text{ V}\angle 0^\circ \); Set the values of the series RLC circuit.

RLC series circuit
Resonant Frequency:
\( f_s = \frac{1}{2\pi \sqrt{LC} } = \)?Hz
Quality Factor:
\( Q_s = \frac{2\pi f_sL}{R} = \)? also \( Q_s = \frac{1}{R}\sqrt{\frac{L}{C}} = \)?
Bandwidth:
\( BW = \frac{f_s}{Q_s} = \)?Hz
Half Power Corner Frequencies:
\( f_1 = f_s - \frac{BW}{2} = \)?Hz
\( f_2 = f_s + \frac{BW}{2} = \)?Hz
Maximum Current:
\( I_{max} = \frac{E}{R} = \)?A
Capacitor Voltage:
\( V_C = Q_s E = \)?V
Inductor Voltage:
\( V_L = Q_s E = \)?V