AlternatingCurrentRCandLCRCircuits

1. In a series RC circuit such as the one in Figure 37-1, thefollowing 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; (b) Vc and VR are at angle 0, V leads Vc by 90; (c) V c lags VR by 90, V lags VR by angle 0; (d) VR lags Vc by 0, Vc leads V by 90.

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 0= 2000 rad/s and R=30012. 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 uF; (b) 5.00 uF; (c) 1.17 uF; (d) 4.67 uF.

4. A series RC circuit of R=5002 and C=3.00 uF 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.

I= ____

0= ____ rad/s

5. A series LCRcircuit consists of an inductor of inductance Land 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 V r. Vc, and VR.

_1. V, and VR are in phase.

_2. V leads Vc by 90

_3. V is at angle o relative to VR

_4. VL-Vc is in phase with V r.

_5. Vc lags VR by 90