Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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#18 please choose the correct answer
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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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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