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*47. For the network of Fig. 10.107, determine the following<br />

100 ms after the switch is closed:<br />

a. Vab b. Vac c. Vcb d. Vda e. If the switch is moved to position 2 one hour later,<br />

find the time required for vR2 to drop to 20 V.<br />

48. For the circuits of Fig. 10.108, find the voltage across and<br />

charge on each capacitor after each capacitor has charged<br />

to its final value.<br />

48 V<br />

C 1<br />

40 mF<br />

C 1<br />

5 k�<br />

2 k�<br />

C2 0.04 mF<br />

(a)<br />

80 V<br />

(b)<br />

C2 60 mF<br />

6 k�<br />

FIG. 10.108<br />

Problem 48.<br />

0.08 mF<br />

4 k�<br />

4 k�<br />

SECTION 10.14 Energy Stored by a Capacitor<br />

49. Find the energy stored by a 120-pF capacitor with 12 V<br />

across its plates.<br />

50. If the energy stored by a 6-mF capacitor is 1200 J, find<br />

the charge Q on each plate of the capacitor.<br />

*51. An electronic flashgun has a 1000-mF capacitor that is<br />

charged to 100 V.<br />

a. How much energy is stored by the capacitor?<br />

b. What is the charge on the capacitor?<br />

c. When the photographer takes a picture, the flash fires<br />

for 1/2000 s. What is the average current through the<br />

flashtube?<br />

d. Find the power delivered to the flashtube.<br />

e. After a picture is taken, the capacitor has to be<br />

recharged by a power supply that delivers a maximum<br />

current of 10 mA. How long will it take to charge the<br />

capacitor?<br />

52. For the network of Fig. 10.109:<br />

a. Determine the energy stored by each capacitor under<br />

steady-state conditions.<br />

b. Repeat part (a) if the capacitors are in series.<br />

E<br />

100 V<br />

24 V<br />

1<br />

R 2<br />

6 k�<br />

2<br />

d<br />

40 k�<br />

R 1<br />

20 k�<br />

C 2<br />

FIG. 10.107<br />

Problem 47.<br />

4 k�<br />

3 k�<br />

FIG. 10.109<br />

Problem 52.<br />

PROBLEMS ⏐⏐⏐ 433<br />

C 1<br />

a<br />

c<br />

12 mF C3 b<br />

8 mF<br />

6 mF 12 mF<br />

12 mF

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