Practice Problems
Sample DC Resistor Network
Directions:
On this worksheet you will review the formulas and relationships for resistors wired in series and in parallel. My recommendation is to first build a
voltage diagram
and an
R|I|V|P chart
for the circuit and then check your answers by supplying the value specified in each question.
omit
Question 1
In the circuit shown above, the values for each resistor are:
R
_{1}
= 5 Ω R
_{2}
= 3 Ω R
_{3}
= 9 Ω R
_{4}
= 6 Ω R
_{5}
= 4 Ω R
_{6}
= 5 Ω R
_{7}
= 25 Ω
Based on these values, what would be the total resistance of the combination R
_{2}
, R
_{3}
, and R
_{4}
.
0.25 Ω
4.00 Ω
1.64 Ω
18.00 Ω
omit
Question 2
What is the total resistance of R
_{2}
, R
_{3}
, R
_{4}
, and R
_{5}
?
3.27 Ω
8.00 Ω
2.69 Ω
5.64 Ω
omit
Question 3
What is the total resistance of R
_{6}
and R
_{7}
?
4.17 Ω
5.04 Ω
30.00 Ω
0.24 Ω
omit
Question 4
What is the total resistance between points b and c?
4.74 Ω
12.17 Ω
0.37 Ω
2.74 Ω
omit
Question 5
What is the total resistance between points a and d?
17.17 Ω
9.74 Ω
1.77 Ω
7.74 Ω
omit
Question 6
If the circuit is connected to a 23.22 volt battery, what is the current through R
_{1}
?
13.12 amps
1.35 amps
2.38 amps
3.00 amps
omit
Question 7
What is the current through R
_{2}
?
1.71 amps
0.68 amps
0.34 amps
0.34 amps
omit
Question 8
What is the current through R
_{5}
?
2.51 amps
1.03 amps
1.46 amps
0.41 amps
omit
Question 9
What is the current through R
_{6}
?
1.64 amps
3.00 amps
2.26 amps
4.32 amps
omit
Question 10
What is the voltage drop across R
_{7}
?
15.00 volts
11.31 volts
8.22 volts
21.58 volts
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Question 11
What is the voltage drop across R
_{3}
?
16.44 volts
13.10 volts
5.40 volts
3.08 volts
omit
Question 12
How much power is dissipated through R
_{1}
?
23.22 watts
45.00 watts
69.66 watts
15.00 watts
omit
Question 13
How much power is dissipated through R
_{5}
?
4.11 watts
67.55 watts
1.06 watts
4.22 watts
omit
Question 14
How much power must be supplied by the battery to run this entire circuit?
23.22 watts
45.01 watts
69.66 watts
8.22 watts
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