The three parts together. The series LCR circuit, impedance and phase, resonance and the quality factor, average power in an AC circuit and the power factor.
3 lessons, about 1 h 50 min4 simulations11 problems9 practice questionsPython in every lesson
In a series circuit the same current passes the resistor, the coil and the capacitor. Their three voltages are not in step, so they add as phasors. This gives the impedance , the peak current and the phase .
At the frequency the reactances cancel, the impedance drops to and the current is largest. The sharpness of the peak is the quality factor , and the bandwidth is .
The power at one instant is , and it swings above and below zero. The average power is , where the power factor is . Only the resistor uses power, so . A coil or a capacitor alone takes no average power.
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