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MECH1310Chapter6Homework

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

 1. 

If two resistors are in parallel, they drop the same voltage.
 

 2. 

A series-parallel circuit consists of resistors in both series and parallel.
 

 3. 

No problems could occur if a 10 V source and a 20 V source were connected in parallel.
 

 4. 

A loaded voltage divider is a series-parallel circuit.
 

 5. 

Two or more resistors connected in series form a circuit known as a voltage divider.
 

 6. 

A voltmeter, when connected across a component, can be viewed as being a resistor in series with that component.
 

 7. 

Thevinizing a circuit creates an equivalent series circuit.
 

 8. 

Maximum power is achieved when the load resistance is approximately two times the source resistance.
 

 9. 

R2 is in parallel with R3 in Figure 6-1.
tf009-1.jpg
Figure 6
-1
 

 10. 

R1 is in series with R3 in Figure 6-1.
tf010-1.jpg
Figure 6
-1
 

 11. 

R1 is in series with the parallel combination R2 and R3 in Figure 6-1.
 

 12. 

R1 is in series with the series combination R2 and R3 in Figure 6-1.
 

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

 13. 

In Figure 6-1, R2 is connected in ________.
mc013-1.jpg
Figure 6
-1
a.
parallel with R1
c.
series with R3
b.
series with R1
d.
parallel with R3
 

 14. 

In Figure 6-1, R1 is connected in ________.
mc014-1.jpg
Figure 6
-1
a.
parallel with R3
b.
series with R2
c.
parallel with R2
d.
series with R3
e.
none of the above
 

 15. 

If R1 = 4.7 kÙ, R2 = 3.3 kÙ and R3 = 1 kÙ in Figure 6-1, the total resistance equals ________.
mc015-1.jpg
Figure 6
-1
a.
5467 Ù
c.
5700 Ù
b.
660 Ù
d.
4125 Ù
 

 16. 

If R1 = 10 kÙ, R2 = 15 kÙ and R3 = 50 kÙ in Figure 6-1, RT equals ________.
mc016-1.jpg
Figure 6
-1
a.
21.5 kÙ
c.
9.5 kÙ
b.
11.5 kÙ
d.
10 kÙ
 

 17. 

If Vs = 25 V, R1 = 10 kÙ, R2 = 15 kÙ and R3 = 50 kÙ in Figure 6-1, IT equals ________.
mc017-1.jpg
Figure 6
-1
a.
2.5 mA
c.
1.58 mA
b.
1.16 mA
d.
2.17 mA
 

 18. 

If all of the resistors in Figure 6-2 are 4.7 kÙ, what is the value of RT?
mc018-1.jpg
Figure 6
-2
a.
4.7 kÙ
c.
9.4 kÙ
b.
12.5 kÙ
d.
18.8 kÙ
 

 19. 

In Figure 6-2, R3 and R4 are connected in ________.
mc019-1.jpg
Figure 6
-2
a.
series with each other and R5
c.
series with each other
b.
parallel with R1 and R2
d.
series with each other and R1 and R2
 

 20. 

If R1 = 50 kÙ, R2 = 10 kÙ, R3 = 10 kÙ, R4 = 50 kÙ and R5 = 10 kÙ in Figure 6-2, what is the value of RT?
mc020-1.jpg
Figure 6
-2
a.
8.57 kÙ
c.
85.7 kÙ
b.
68.6 kÙ
d.
130 kÙ
 

 21. 

If all resistors equal 4.7 kÙ and Vs equals 20 V in Figure 6-2, what is the value of IR3?
mc021-1.jpg
Figure 6
-2
a.
11.99 mA
c.
1.06 mA
b.
12.5 mA
d.
0.53 mA
 

 22. 

In Figure 6-2, R3 and R4 are connected in ________.
mc022-1.jpg
Figure 6
-2
a.
series with each other and in parallel with R5
b.
series with R2
c.
parallel with each other
d.
series with R5
 

 23. 

If every resistor in Figure 6-2 equals 2.2 kÙ, what is the value of RT?
mc023-1.jpg
Figure 6
-2
a.
5.5 kÙ
c.
5.87 kÙ
b.
2.2 kÙ
d.
4.4 kÙ
 

 24. 

In Figure 6-2 if R1 = 10 kÙ, R2 = 4.7 kÙ, R3 = 4.7 kÙ, R4 = 10 kÙ and R5 = 4.7 kÙ, RT = ?
mc024-1.jpg
Figure 6
-2
a.
6.1 kÙ
c.
0 Ù
b.
24.7 kÙ
d.
18.3 kÙ
 

 25. 

If VR4 = 10 V in Figure 6-3, what is the value of VAD?
mc025-1.jpg
Figure 6
-3
a.
10 V
c.
30 V
b.
40 V
d.
20 V
 

 26. 

What is the resistance between points A and D in Figure 6-3?
mc026-1.jpg
Figure 6
-3
a.
30 kÙ
c.
10 kÙ
b.
40 kÙ
d.
20 kÙ
 

 27. 

If VR1 = 15 V in Figure 6-3, what is the value of VBD?
mc027-1.jpg
Figure 6
-3
a.
30 V
c.
-60 V
b.
-30 V
d.
60 V
 

 28. 

If Vs = 50 V in Figure 6-3, what is the value of VCA?
mc028-1.jpg
Figure 6
-3
a.
25 V
c.
5 V
b.
-5 V
d.
-25 V
 

 29. 

If the current is 12 mA in Figure 6-3, what is the value of VEB?
mc029-1.jpg
Figure 6
-3
a.
-240 V
c.
360 V
b.
240 V
d.
-360 V
 

 30. 

If the current is 1.2 mA in Figure 6-3, what is the value of PT?
mc030-1.jpg
Figure 6
-3
a.
576 mW
c.
0.576 mW
b.
57.6 mW
d.
5.76 mW
 

 31. 

If VR3 = 17 V in Figure 6-3, what is the value of P1?
mc031-1.jpg
Figure 6
-3
a.
1.7 mW
c.
17 mW
b.
2.89 W
d.
28.9 mW
 

 32. 

If four parallel 10 kÙ resistors are connected in series with a single 20 kÙ resistor and one of the parallel resistors opens, how does the voltage across the other parallel resistors change?
a.
It decreases.
c.
It increases.
b.
It remains the same.
 

 33. 

Two series 1 kÙ resistors are connected in parallel with a 2.2 kÙ resistor. If the voltage across one of the 1 kÙ resistors is 6 V, what is the voltage across the 2.2 kÙ resistor?
a.
3 V
c.
6 V
b.
13.2 V
d.
12 V
 

 34. 

The parallel combination of a 330 Ù resistor and a 470 Ù resistor is connected in series with the parallel combination of four 1 kÙ resistors. If a 100 V source is connected across the circuit, then which resistor carries the most current?
a.
470 Ù
c.
330 Ù
b.
1 kÙ
 

 35. 

The parallel combination of a 330 Ù resistor and a 470 Ù resistor is connected in series with the parallel combination of four 1 kÙ resistors. If a 100 V source is connected across the circuit, then which resistor drops the most voltage?
a.
330 Ù
c.
1 kÙ
b.
470 Ù
 

 36. 

If a voltage divider consists of two 10 kÙ resistors, which one of these load resistors will change the output voltage the most?
a.
100 kÙ
c.
20 kÙ
b.
1 MÙ
d.
10 kÙ
 

 37. 

In a two-source circuit, one source alone produces 10 mA through a branch. If the other source alone produces 8 mA in the opposite direction through the same branch, what is the total current through the branch?
a.
18 mA
c.
8 mA
b.
10 mA
d.
2 mA
 

 38. 

If four parallel 10 kÙ resistors are in series with a single 20 kÙ resistor and one of the parallel resistors shorts, the voltage across the other parallel resistors ________.
a.
decreases
c.
remains the same
b.
increases
 

 39. 

Power in a series-parallel resistor circuit is dissipated as:
a.
current flow.
c.
voltage loss.
b.
heat.
d.
resistance change.
 

 40. 

In solving series-parallel circuits using Ohm's law, first solve for:
a.
IT.
c.
RT.
b.
ET.
d.
any of these, it doesn't matter.
 

 41. 

In solving series-parallel circuits using Ohm's law, first solve for:
a.
the series current.
c.
the parallel current.
b.
the parallel resistance.
d.
the series resistance.
 

 42. 

In the series portion of series-parallel circuits, the total resistance is:
a.
less than the largest resistance.
c.
less than any one resistance.
b.
greater than the largest resistance.
d.
equal to the largest resistance.
 

 43. 

In the parallel portion of series-parallel circuits, the total resistance is:
a.
equal to the smallest resistance.
c.
less than the smallest resistance.
b.
greater than the largest resistance.
d.
less than any one resistance.
 

 44. 

Thevenin's theorem provides a method for:
a.
simplifying complex series-parallel circuits.
b.
designing complex series-parallel circuits.
c.
building complex series-parallel circuits.
d.
all of these.
 

 45. 

According to the maximum power transfer theorem, maximum power is delivered to any load when the load resistance is:
a.
at least twice or more than the source resistance.
b.
less than one-half of the source resistance.
c.
larger than source resistance.
d.
exactly equal to the source resistance.
 

 46. 

The super position theorem provides a method for:
a.
analyzing complex series-parallel circuits.
b.
building complex series-parallel circuits.
c.
designing complex series-parallel circuits.
d.
all of these.
 

 47. 

Refer to Figure 6-4. What approximate R1 resistor value would it take to balance this bridge circuit?
mc047-1.jpg
Figure 6
-4
a.
825 Ù
c.
330 Ù
b.
560 Ù
d.
680 Ù
 

 48. 

Refer to Figure 6-4. With circuit balanced there is:
mc048-1.jpg
Figure 6
-4
a.
no current flow through the total circuit.
b.
Cannot be determined without detailed analysis.
c.
maximum current flow through the load.
d.
no current through the load.
 

 49. 

Refer to Figure 6-4. If R1 is changed to 500 Ù, the Thevenin resistance and voltage would be:
mc049-1.jpg
Figure 6
-4
a.
595 and 807 mV.
c.
1 k and 807 mV.
b.
1 k and 3 V.
d.
595 and 3 V.
 

 50. 

Refer to Figure 6-5. If all of the resistors of this circuit are 5 kÙ and VS1 and VS2 are 10 V but opposing polarities, what would be the current flow through R2?
mc050-1.jpg
Figure 6
-5
a.
2.66 mA
c.
0 A
b.
13.33 mA
d.
1.33 mA
 



 
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