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RLC Series. In an AC series circuit containing resistance R, inductance L and capacitance C, the applied voltage V is the phasor sum of VR, VL and VC. VL and VC are anti-phase, i.e. displaced by 180°, and there are three phasor diagrams possible - each depending on the relative values of VL and VC (a) (d) R VR V V (=IX₂) VR=V VV (=IX) 1 ✓ Z= √(R^2 + (XC-XL)^2) Vc Z = R + Xc + XL (magnitude sum) VL(=IXL) (V-VC) (b) ✔ XL > Xc, the circuit is inductive; lagging power factor To av VR (=IR) VC(=IX) Z(XL-XC) IMPEDANCE TRIANGLE (Vc-V₁) VL(=IXL) VR(-IR) (c) Ja iv Vc(=IXC) (Xc−X) IMPEDANCE TRIANGLE

RLC Series. In an AC series circuit containing resistance R, inductance L and capacitance C, the applied voltage V is the phasor sum of VR, VL and VC. VL and VC are anti-phase, i.e. displaced by 180°, and there are three phasor diagrams possible - each depending on the relative values of VL and VC (a) (d) R VR V V (=IX₂) VR=V VV (=IX) 1 ✓ Z= √(R^2 + (XC-XL)^2) Vc Z = R + Xc + XL (magnitude sum) VL(=IXL) (V-VC) (b) ✔ XL > Xc, the circuit is inductive; lagging power factor To av VR (=IR) VC(=IX) Z(XL-XC) IMPEDANCE TRIANGLE (Vc-V₁) VL(=IXL) VR(-IR) (c) Ja iv Vc(=IXC) (Xc−X) IMPEDANCE TRIANGLE

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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RLC Series. In an AC series circuit containing resistance R, inductance L and capacitance C, the applied voltage V is the phasor sum of VR, VL and VC. VL and VC are anti-phase, i.e. displaced by 180°, and there are three phasor diagrams possible - each depending on the relative values of VL and VC (a) (d) R VR V V (=IX₂) VR=V + Vc VV (=IX) 1 ✓ Z= √(R^2 + (XC-XL)^2) Z= R + Xc + XL (magnitude sum) ✓ V = VR + VL + Vc (magnitude sum) VL(=IXL) (V-VC) (b) ✔ XL > Xc, the circuit is inductive; lagging power factor ✓ Z = √(R^2 + (XL-Xc)^2) To av ✔ Xc> XL, the circuit is capacitive, leading power factor VR (=IR) VC(=IX) IMPEDANCE TRIANGLE Z(XL-XC) ✓ Xc = XL, the circuit is resistive and phase angle is zero, unit power factor (Vc-V₁) VL(=IXL) VR(-IR) (c) Ja iv Vc(=IXC) (Xc−XL) IMPEDANCE TRIANGLE
Transcribed Image Text:RLC Series. In an AC series circuit containing resistance R, inductance L and capacitance C, the applied voltage V is the phasor sum of VR, VL and VC. VL and VC are anti-phase, i.e. displaced by 180°, and there are three phasor diagrams possible - each depending on the relative values of VL and VC (a) (d) R VR V V (=IX₂) VR=V + Vc VV (=IX) 1 ✓ Z= √(R^2 + (XC-XL)^2) Z= R + Xc + XL (magnitude sum) ✓ V = VR + VL + Vc (magnitude sum) VL(=IXL) (V-VC) (b) ✔ XL > Xc, the circuit is inductive; lagging power factor ✓ Z = √(R^2 + (XL-Xc)^2) To av ✔ Xc> XL, the circuit is capacitive, leading power factor VR (=IR) VC(=IX) IMPEDANCE TRIANGLE Z(XL-XC) ✓ Xc = XL, the circuit is resistive and phase angle is zero, unit power factor (Vc-V₁) VL(=IXL) VR(-IR) (c) Ja iv Vc(=IXC) (Xc−XL) IMPEDANCE TRIANGLE
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