1- In a series RC circuit such as the one in Figure 37-1, the following phase re
ID: 2294311 • Letter: 1
Question
1- In a series RC circuit such as the one in Figure 37-1, the following phase relationship exists between the generator voltage V, the capacitor voltage VC, and the resistor voltage VR.
(a) V and VR are in phase, VC lags VR by 90 degree
(b) VC and VR are at angle f, V leads VC by 90 degree
(c) VC lags VR by 908, V lags VR by angle f
(d) VR lags VC by f, VC leads V by 90 degree
2. If a series RC circuit has VR =12.6V and VC = 10.7 V, the generator voltage must be
(a) 12.6 V
(b) 23.3 V
(c) 1.9 V
(d) 16.5 V. Show your work.
3. A series RC circuit has o
Explanation / Answer
1. In a series RC circuit such as the one in Figure 37-1, the following phase relationship exists between the generator voltage V, the capacitor voltage VC, and the resistor voltage VR.
(a) V and VR are inphase,VC lagsVR by 908
(b)VC andVR are at anglef,VleadsVC by 908
(c)VC lagsVR by 908,VlagsVR by angle f
(d) VR lags VC by f, VC leads V by 908.
2. If a series RC circuit has V=12.6 V andV=10.7 V, the generator voltage must be
(a) 12.6 V
(b) 23.3 V
(c) 1.9 V
(d) 16.5 V.
Work
sqrt(12.6^2+10.7^2)
=sqrt(158.76+114.49)
=sqrt(273.25)
=16.5 V
3. A series RC circuit has 2000 rad/s andR=300O. The voltage VC is measured to be 4.76 V, and VR is measured to be 6.78 V. What is the value of C? Show your work.
(a) 2.37 mF
(b) 5.00 mF
(c) 1.17 mF
(d) 4.67 mF.
Work
VR = I.R
I = Vr/R = 6.78/300 = 0.0226
Vc = IZc
Zc = Vc/I = 210.619
1/wC = 210.619
C = 1/2000*210.619 = 2.379 micro F
4. A series RC circuit of R=500O and C=3.00mF is measured to have VR=8.07 V and VC=6.68 V. What is the current I, and what is the value of o the angular frequency? Show your work.
5. I = A o= rad=s 3735. 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.
6. Measurements on the circuit described in Question 5 give VL
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