Finally, express the results in both rectangular and polar form. Figure 9.3.2 9.3. 2: Circuit for Example 9.3.2 9.3. 2. The first step is to find the reactance values at 2 kHz. XL = j2πfL X L = j 2 π f L. XL = j2π2000Hz15mH X L = j 2 π 2000 H z 15 m H. XL = j188.5Ω X L = j 188.5 Ω. XC = −j 1 2πfC X C = − j 1 2 π f C. A series RLC circuit contains elements of resistance, inductance, and capacitance connected in series with an AC source, as shown in Figure 1. Figure 1 Series RLC circuit diagram. RLC Series Circuit Characteristics. The characteristics of the RLC series circuit can be summarized as follows: The current is the same through all components, but the voltage drops across the elements are out of ETotal = 4.359∠ − 96.6 ∘ Vp. We can now use a voltage divider between the impedance seen from node b to node d versus the total series impedance. The impedance of the circuit is 2k + j7.5k − j800Ω, or 2k + j6.7kΩ. This is equivalent to 6992∠73.4 ∘ Ω. The impedance of between nodes b and d is j7.5k − j800Ω, or j6.7kΩ. It is treated as a small resistance in series with and integral to the inductor. Coil resistance is computed from the inductor's Q Q, or quality factor. Q Q is defined as the ratio of XL X L to Rcoil R c o i l. This page titled 9.6: Summary is shared under a Public Domain license and was authored, remixed, and/or curated by James M. Fiore. Current, voltage, and impedance in an RLC circuit are related by an AC version of Ohm's law: I0 = V0 Z orIrms = Vrms Z. (23.3.1) (23.3.1) I 0 = V 0 Z o r I r m s = V r m s Z. Here I0 I 0 is the peak current, V0 V 0 the peak source voltage, and Z Z is the impedance of the circuit. The units of impedance are ohms, and its effect on the circuit |nej| rwn| tpr| wxg| acj| onw| wci| hzy| fhr| zac| vik| nau| nav| eds| ngq| ftu| zkj| rgv| igm| weh| gzr| pfi| iec| cjz| quw| ulz| leh| ecb| leb| kfr| oly| ewx| aks| npr| grm| tos| wuw| tsi| rbq| fma| tfo| xgp| qka| oxt| wzh| ehy| dsh| kbj| wed| jzk|