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MECH1310Chapter9Homework

True/False
Indicate whether the statement is true or false.
 

 1. 

Capacitance is the ability to store voltage.
 

 2. 

A capacitor blocks dc and passes ac.
 

 3. 

When two capacitors are connected in parallel across a dc source, the smaller capacitor drops the larger voltage.
 

 4. 

If the distance between the plates of a capacitor increases, the capacitance decreases.
 

 5. 

A capacitor can fully charge in one time constant.
 

 6. 

A capacitor will fully charge in about five time constants.
 

 7. 

To find the total capacitance of two capacitors in parallel, you must combine them using a similar procedure as resistors in parallel.
 

 8. 

If the plate area of a capacitor decreases, the capacitance decreases.
 

 9. 

The voltage rating of a capacitor indicates the voltage it will charge up to.
 

 10. 

Leakage through a capacitor is undesirable.
 

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 11. 

What is the capacitance of a capacitor that drops 50 V and stores 0.500 ìC of charge?
a.
0.001 ìF
c.
0.1 ìF
b.
0.01 ìF
d.
1 ìF
 

 12. 

How much charge is stored in a 0.022 ìF capacitor that drops 22 V?
a.
0.0484 ìC
c.
4.84 ìC
b.
0.484 ìC
d.
48.4 ìC
 

 13. 

If a 0.05 ìF and 0.1 ìF capacitor are connected in parallel across a 20 V source, the total capacitance equals ________ and each capacitor drops ________.
a.
0.15 ìF, 10 V
c.
0.05 ìF, 15 V
b.
0.15 ìF, 20 V
d.
0.10 ìF, 20 V
 

 14. 

If a 0.022 ìF, 0.022 ìF and 0.05 ìF capacitor are connected in series across a 25 V source, the voltage drop across the largest capacitor equals ________.
a.
4.51 V
c.
10.2 V
b.
17.5 V
d.
11.8 V
 

 15. 

What is one time constant of a 4.7 ìF capacitor in series with a 22 kÙ resistor?
a.
1.03 ms
c.
103 ms
b.
0.103 ms
d.
10.3 ms
 

 16. 

How long will it take a 0.047 ìF capacitor to fully charge through a 100 kÙ resistor?
a.
2.35 s
c.
0.235 ms
b.
235 ms
d.
23.5 ms
 

 17. 

How long will it take a 1 ìF capacitor to completely discharge through a 47 kÙ resistor?
a.
235 ms
c.
47 s
b.
47 ms
d.
235 s
 

 18. 

If a 1 ìF capacitor and a 10 kÙ resistor are connected in series across 20 VDC, approximately how much voltage will the capacitor drop after charging for just one time constant?
a.
17 V
c.
11.0 V
b.
12.6 V
d.
12.1 V
 

 19. 

If a 4.7 ìF capacitor and a 10 kÙ resistor are connected in series across 25 VDC, approximately how much voltage will the resistor drop after charging for just one time constant?
a.
21.6 V
c.
15.8 V
b.
9.20 V
d.
23.8 V
 

 20. 

If a 4.7 ìF capacitor operates at 10 kHz, XC equals ________.
a.
3.39 Ù
c.
294 ìÙ
b.
339 Ù
d.
infinite Ù
 

 21. 

At what frequency is a 2000 pF capacitor operating if its reactance is 745 Ù?
a.
1.01 kHz
c.
107 kHz
b.
1010 Hz
d.
10.1 kHz
 

 22. 

If a 22 ìF capacitor is connected to a 15 V 400 Hz source, its current equals ________.
a.
18.1 mA
c.
1.81 A
b.
55 mA
d.
829 mA
 

 23. 

If a 0.1 ìF, 0.1 ìF and 0.05 ìF capacitor are connected in series across a 75 V source, the voltage drop across the smallest capacitor equals ________.
a.
37.5 V
c.
50 V
b.
100 V
d.
18.8 V
 

 24. 

How long will it take to completely charge a 0.047 ìF capacitor through a 1 MÙ resistor?
a.
0.47 s
c.
0.235 s
b.
0.029 s
d.
0.047 s
 

 25. 

If a 0.1 ìF capacitor and a 2.2 kÙ resistor are connected in series across 30 VDC, how much voltage will the capacitor drop after charging for just one time constant?
a.
19.0 V
c.
28.5 V
b.
25.9 V
d.
29.4 V
 

 26. 

If the frequency applied to a capacitor increases, the capacitive reactance ________.
a.
increases
c.
decreases
b.
remains the same
d.
varies up and down
 

 27. 

A capacitor that transfers an ac signal from one stage to another is called a ________ capacitor.
a.
bypass
c.
filter
b.
transfer
d.
coupling
 

 28. 

If a 1 ìF, 2.2 ìF and 0.05 ìF capacitor are connected in series, CT is less than ________.
a.
0.05 ìF
c.
2.2 ìF
b.
1 ìF
d.
0.001 ìF
 

 29. 

If four 0.022 ìF capacitors are connected in parallel, CT equals ________.
a.
0.022 ìF
c.
0.088 ìF
b.
0.049 ìF
d.
0.044 ìF
 

 30. 

If an uncharged capacitor, a resistor, a switch and a 12 V battery are connected in series, what is the voltage across the capacitor at the instant the switch is closed?
a.
24 V
c.
0 V
b.
6 V
d.
12 V
 

 31. 

If an uncharged capacitor, a resistor, a switch and a 12 V battery are connected in series, what is the voltage across the capacitor after it is fully charged?
a.
6 V
c.
24 V
b.
12 V
d.
-6 V
 

 32. 

If an uncharged capacitor, a resistor, a switch and a 12 V battery are connected in series, at approximately what time will the capacitor reach full charge?
a.
5 × R × C
c.
12 × R × C
b.
R × C
d.
The time cannot be predicted.
 

 33. 

What is the capacitance that stores 1.175 ìC of charge and drops 25 V?
a.
47 ìF
c.
4.7 ìF
b.
0.47 ìF
d.
0.047 ìF
 

 34. 

What is the minimum dc working voltage rating for a capacitor that must drop 120 VRMS?
a.
120 V
c.
170 V
b.
84.8 V
d.
339 V
 

 35. 

If a 0.047 ìF, 0.047 ìF and 0.47 ìF capacitor are connected in series across a 25 V source, the total capacitance equals ________ and each 0.047 ìF capacitor drops ________.
a.
0.564 ìF, 1.2 V
c.
0.564 ìF, 11.9 V
b.
0.022 ìF, 25 V
d.
0.022 ìF, 11.9 V
 

 36. 

If a 22 ìF and 100 ìF capacitor are connected in parallel across a 15 V source, the total capacitance equals ________ and the 22 ìF capacitor drops ________.
a.
1220 ìF, 30 V
c.
18 ìF, 15 V
b.
18 ìF, 5.2 V
d.
122 ìF, 15 V
 

 37. 

What is one time constant of a 47 ìF capacitor in series with a 120 kÙ resistor?
a.
0.564 ms
c.
564 ms
b.
5.64 s
d.
54.6 s
 

 38. 

How long will it take for a 22 ìF capacitor to completely charge through a 47 kÙ resistor?
a.
5.17 s
c.
2.068 s
b.
1.034 s
d.
8.272 s
 

 39. 

How long will it take for a 22 ìF capacitor to completely discharge through a 4.7 kÙ resistor?
a.
0.827 s
c.
0.517 s
b.
0.207 s
d.
0.103 s
 

 40. 

How much voltage is dropped across a 150 ìF capacitor after 3.33 seconds if it is charged by a 50 V source through a 22 KÙ resistor?
a.
43.3 V
c.
49 V
b.
31.8 V
d.
47.5 V
 

 41. 

If a 0.047 ìF capacitor operates at 220 kHz, XC equals ________.
a.
1.54 kÙ
c.
15.4 kÙ
b.
154 Ù
d.
15.4 Ù
 

 42. 

At what frequency is a 0.001 ìF capacitor operating if its reactance is 45 kÙ?
a.
3.54 MHz
c.
3.54 kHz
b.
354 kHz
d.
35.4 kHz
 

 43. 

If a 47 ìF capacitor is connected to a 20 V, 400 Hz source, the current is ________.
a.
0.851 A
c.
2.36 A
b.
8.51 A
d.
425 A
 

 44. 

When connecting a large electrolytic capacitor to a circuit with a 100 VDC source, place the negative end of the capacitor ________.
a.
in either position; the polarity is not important
b.
towards the positive side of the source
c.
towards the negative side of the source
 

 45. 

What is CT in Figure 9-1?
mc045-1.jpg
Figure 9
-1
a.
25.2 ìF
c.
8.78 ìF
b.
70.1 ìF
d.
82 ìF
 

 46. 

Electrolytic capacitors differ from many other capacitors in construction in that they are:
a.
polarized.
c.
larger.
b.
sensitized.
d.
smaller.
 

 47. 

Electrolytic capacitors must be connected into a circuit such that:
a.
reversal of polarity does not happen.
b.
positive lead to positive voltage; negative lead to negative voltage.
c.
voltage rating marked is not exceeded.
d.
all of these.
 

 48. 

When capacitors are connected in series, their total capacitance act like:
a.
resistance connected in series-parallel.
c.
resistance connected in series.
b.
resistance connected in parallel.
d.
all of these.
 

 49. 

When capacitors are connected in parallel, their total capacitance act like:
a.
resistance connected in series-parallel.
c.
resistance connected in series.
b.
resistance connected in parallel.
d.
all of these.
 

 50. 

The time constant of a capacitor is:
a.
directly proportional to the resistance in the circuit.
b.
the time required to charge to 63% or discharge to 37%.
c.
directly proportional to the capacitance in the circuit.
d.
all of these.
 

 51. 

The time constant for a capacitor for each time period is:
a.
63% of the increase in value.
c.
37% of the decrease in value.
b.
a constant factor.
d.
all of these.
 

 52. 

In a capacitive AC circuit, the phase relationship between the voltage and the current is such that the:
a.
voltage is leading the current.
b.
current is 180 degrees out of phase with voltage.
c.
voltage is 360 degrees out of phase with current.
d.
current is leading the voltage.
 

 53. 

A common use for electrolytic capacitors found in power supplies is ________.
a.
blocking DC
c.
decoupling
b.
passing AC
d.
filtering
 

 54. 

A commonplace use for capacitors in electronics is to:
a.
pass DC voltages only.
c.
pass both AC and DC voltages.
b.
block AC voltages.
d.
block DC voltages.
 

 55. 

The removal of high frequency transient voltages with a capacitor is called:
a.
coupling.
c.
ac blocking.
b.
decoupling.
d.
bypassing.
 



 
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