Resonant Circuit 2012 423 Series RLC Circuit 2

諧振電路 Resonant Circuit 2012年 4月23日更新

Series RLC Circuit 2

Impedance 某個ω，Z最小。 3

Impedance vs. Frequency 4

Current 5

Current vs. Frequency 6

Resonance Series RLC Circuit 0 8

Resonant Frequency The condition of resonance 9

At Resonance The impedance of the network The power delivered 共振條件下，電路的阻抗 （虛部為零），即net reactance為零，即power factor=1 10

Band Width 0. 707的位置

Quality factor Q－selectivity v. The quality factor Q is defined by where Δω is the width of the resonant power curve at half maximum. Since that width turns out to be Δω = R/L, the value of Q can also be expressed as R越大，Q越小 13

Q vs. Selectivity v. A "quality factor" Q is a measure of that selectivity, and we speak of a circuit having a "high Q" if it is more narrowly selective. Q值越大，the sharpness of the resonance越大，band-pass filter變得更具選擇性，也就是說能通過band-pass filter的 input signal的頻率將僅侷限於resonant frequency附近。 14

Selectivity vs. R v. The selectivity of a circuit is dependent upon the amount of resistance in the circuit. High Q R越大，Q越小 15

Parallel RLC Circuit

Parallel RLC Circuit 更新 Focus on the condition

Impedance 更新 18

Voltage 19

Parallel RLC Circuit 20

Impedance 21

I vs. Frequency 22

Circuit Simulation

V 1 （電壓源）：yellow ; V 3+V 4（跨越L與C ）：blue V 2（跨越R）：yellow ~ yellow-blue

V 3 + V 4 （跨越L+C）：y ellow V 4（跨越C）：blue V 3 （跨越C）： red＝yellow-blue

Circuit Simulation