23.12 RLC Series AC Circuits Impedance When alone in an AC circuit, inductors, capacitors, and resistors all impede current. How do they behave when all three occur together? Interestingly, their individual resistances in ohms do not simply add. Because inductors and capacitors behave in opposite ways, they partially to totally cancel each other's effect. Figure 23.48 shows an RLC series circuit with an AC voltage source, the behavior of which is the subject of this section. The crux of the analysis of an RLC circuit is the frequency dependence of X1 and Xc, and the effect they have on the phase of voltage versus current (established in the preceding section). These give rise to the frequency dependence of the circuit, with important "resonance" features that are the basis of many applications, such as radio tuners. Va V = V, sin 2rft VL Vc Figure 23.48 An RLC series circuit with an AC voltage source.

Power System Analysis and Design (MindTap Course List)
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Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.27P: An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8...
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RLC Series AC Circuits
• Calculate the impedance, phase angle, resonant frequency, power, power factor, voltage, and/or current in a RLC
series circuit.
• Draw the circuit diagram for an RLC series circuit.
• Explain the significance of the resonant frequency.

23.12 RLC Series AC Circuits
Impedance
When alone in an AC circuit, inductors, capacitors, and resistors all impede current. How do they behave when all three occur
together? Interestingly, their individual resistances in ohms do not simply add. Because inductors and capacitors behave in
opposite ways, they partially to totally cancel each other's effect. Figure 23.48 shows an RLC series circuit with an AC voltage
source, the behavior of which is the subject of this section. The crux of the analysis of an RLC circuit is the frequency
dependence of X1 and Xc, and the effect they have on the phase of voltage versus current (established in the preceding
section). These give rise to the frequency dependence of the circuit, with important "resonance" features that are the basis of
many applications, such as radio tuners.
Va
V = V, sin 2rft
VL
Vc
Figure 23.48 An RLC series circuit with an AC voltage source.
Transcribed Image Text:23.12 RLC Series AC Circuits Impedance When alone in an AC circuit, inductors, capacitors, and resistors all impede current. How do they behave when all three occur together? Interestingly, their individual resistances in ohms do not simply add. Because inductors and capacitors behave in opposite ways, they partially to totally cancel each other's effect. Figure 23.48 shows an RLC series circuit with an AC voltage source, the behavior of which is the subject of this section. The crux of the analysis of an RLC circuit is the frequency dependence of X1 and Xc, and the effect they have on the phase of voltage versus current (established in the preceding section). These give rise to the frequency dependence of the circuit, with important "resonance" features that are the basis of many applications, such as radio tuners. Va V = V, sin 2rft VL Vc Figure 23.48 An RLC series circuit with an AC voltage source.
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