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41 long questions in exercise on series and parallel circuits. Identify various factors in circuits and determine resultant current, voltage and resistance. Answer key starts at page 31
Typology: Exercises
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Series-parallel DC circuits This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit http://creativecommons.org/licenses/by/1.0/, or send a letter to Creative Commons, 559 Nathan Abbott Way, Stanford, California 94305, USA. The terms and conditions of this license allow for free copying, distribution, and/or modification of all licensed works by the general public.
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Identify which of these components are connected directly in series with each other, and which are
Identify which of these components are connected directly in series with each other, and which are connected directly in parallel with each other:
R D C
Printed circuit board
Lamp
Battery
file 00031
Question 4 Identify which of these components are connected directly in series with each other, and which are connected directly in parallel with each other:
Terminal strip
R1 L
Neon SW1 lamp
Battery
file 00032
Question 5 In a series circuit, certain general rules may be stated with regard to quantities of voltage, current, resistance, and power. Express these rules, using your own words:
”In a series circuit, voltage.. .”
”In a series circuit, current.. .”
”In a series circuit, resistance.. .”
”In a series circuit, power.. .”
For each of these rules, explain why it is true. file 00291
In a parallel circuit, certain general rules may be stated with regard to quantities of voltage, current, resistance, and power. Express these rules, using your own words:
”In a parallel circuit, voltage.. .”
”In a parallel circuit, current.. .”
”In a parallel circuit, resistance.. .”
”In a parallel circuit, power.. .”
For each of these rules, explain why it is true. file 00292
Which components are guaranteed to share the exact same voltage by virtue of their connections with each other? Which components are guaranteed to share the exact same current by virtue of their connections with each other?
D C
Printed circuit board
Lamp
Battery
file 00033
Question 9 Which components in this partial automobile schematic diagram are guaranteed to share the exact same voltage by virtue of their connections with each other? Which components are guaranteed to share the exact same current by virtue of their connections with each other?
Headlight #
Headlight #
Gen
Fusible link Battery
Generator
Brakelights
Brake pedal switch
A
Light switch Ammeter
file 00034
Examine these two variable-resistance (rheostat) networks, each one with a large-range potentiometer and a small-range potentiometer:
100k 5k
100k
5k For each network, determine which pot is the coarse adjustment and which pot is the fine adjustment for total resistance. file 03454
Question 11 Draw a schematic diagram of this ”breadboarded” circuit:
R
R
R
file 01760
In this series-parallel circuit, resistors R1 and R2 are in series with each other, but resistor R3 is neither in series nor in parallel with either R1 or R2:
R
R
R
Normally, the first step in mathematically analyzing a circuit such as this is to determine the total circuit resistance. In other words, we need to calculate how much resistance the voltage source ”sees” in the network formed by R1, R2, and R3. If the circuit were a simple series configuration, our task would be easy:
R
R
R
Likewise, if the circuit were a simple parallel configuration, we would have no difficulty at all calculating total resistance:
R1 R2 R
Due to the fact that our given circuit is neither purely series nor purely parallel, though, calculation of total resistance is not a simple one-step operation. However, there is a way we could simplify the circuit to something that is either simple series or simple parallel. Describe how that might be done, and demonstrate using numerical values for resistors R1, R2, and R3. file 01755
Rank these five light bulb assemblies according to their total electrical resistance (in order of least to greatest), assuming that each of the bulbs is the same type and rating:
A
B
C
D
E
Explain how you determined the relative resistances of these light bulb networks. file 00039
Calculate the resistance between points A and B (RAB ) for the following resistor networks:
Figure 1 Figure 2 Figure 3
Figure 4 Figure 5 Figure 6
All resistors 500 Ω
A
B (^) A
B
All resistors 1 kΩ
B
A 2 kΩ 5 kΩ
100 Ω 470 Ω
A
B 470 Ω
250 Ω
940 Ω
A
B
All resistors 2.2 kΩ
B
A 100 Ω 470 Ω 220 Ω
330 Ω
file 01757
Question 17 Calculate the amount of voltage dropped across resistor R 2 :
24 V
1k
2k2 5k
R 1 R 2 R 3
Also, note the direction of current through it and the polarity of the voltage drop across it. file 01759
Complete the table of values for this circuit:
V I R P
R 2
R 3
R 1 R 2 R 3 Total
12 volts
R 1
220 Ω
130 Ω
470 Ω
220 Ω 130 Ω 470 Ω
file 01758
Question 19 Complete the table of values for this circuit:
V I R P
R 2
R 3
R 1 R 2 R 3 Total
R 1
7 V
180 Ω
180 Ω
100 Ω
100 Ω
250 Ω
250 Ω
file 03259
Complete the table of values for this circuit:
V I R P
R 2
R 1 R 2 R 3 Total
R 3
R 1
2.7 kΩ 4.7 kΩ
3.9 kΩ
4.7 kΩ 2.7 kΩ 3.9 kΩ
10 mA
10 mA
file 03256
Determine which light bulb(s) will glow brightly, and which light bulb(s) will glow dimly (assuming all light bulbs are identical).
(Sun)
Solar panel
A B C
D
file 00040
Think of a way to re-wire the electrical system of this old automobile (with 6-volt light bulbs) so as to not require resistors between the loads and the generator/battery portion of the circuit (operating at 12 volts each).
Headlight #
Headlight # Gen
Fusible link Battery
Generator
Brakelights
Brake pedal switch
A
Ammeter
Light switch
12 volts 12 volts
6 volts
6 volts
6 volts 6 volts
file 00063
Question 26 Calculate the voltage drops VAB , VBC , and VCD in the following circuit:
150 Ω
470 Ω 1200 Ω
A B C D
1.5 VDC file 01764
Calculate the voltage magnitude and polarity between points A and D in this circuit, assuming a power supply output voltage of 10.5 volts:
A B
C D
3k
4k7 2k
1k
Power supply
Also, calculate the total current output by the power supply as it energizes this resistor network. file 01765
Question 28 Calculate the power supply’s output (total) current:
A B
C D
3k
4k7 2k
1k
Power supply
A COM
V
V A
OFF A
file 01766