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8-4 AC Circuits?
(5) A series LCR circuit consists of an inductor of inductance L and resistance r, a capacitor C, a resistor R, and a generator of voltage V. Mark as true or false the following statements concerning the relative phase of V, VL, Vr, VC, and VR.
Vr and VR are in phase.
VL - VC is in phase with Vr.
V is at an angle φ relative to VR.
VC lags VR by 90°.
VL leads VC by 90°
2 Answers
- Mr. Un-couthLv 74 years ago
True
false
true (VR is not in phase with V)
true
false (VL leads VC by (90` + arctan XL/r) which is considerably greater than 90 degrees but less than 180 degrees. Neither the Voltage VL nor Vr can be measured individually. The Voltage across the terminals of L includes VL and Vr.
- oldschoolLv 74 years ago
Vr and VR are in phase. TRUE Vr and VR are in phase with the current.
VL - VC is in phase with Vr. FALSE (VL - VC) either leads or lags VR depending on whether the ckt is inductive or capacitive
V is at an angle φ relative to VR. TRUE if φ is the angle between V and I
VC lags VR by 90°. TRUE because VC lags Ic by 90 and VR is in phase with Ic = I = IL in a LCR ckt.
VL leads VC by 90°FALSE VL leads VR by 90 and VR leads VC by 90 so VL leads VC by 180°
