Practice Problems
Sample DC Resistor Network
Topics:
On this worksheet you will review the formulas and relationships for resistors wired in series and in parallel.
Page Directions
The numerical values in this worksheet are randomly generated allowing students the opportunity to conveniently practice, and drill, common situations.
Before beginning any given worksheet, please look over all of the questions and make sure that there are
no duplicate
answers shown for the same question. If duplicates are present simply refresh the page until every answer is unique.
In order to check an answer
(even when you are just starting the worksheet on Question 1)
it is necessary to
any questions that you have not answered. Once you start submitting answers, the page may be checked as many times as necesasary without changing the randomized answers. Relevant scoring will be provided at the top of the page only when you answer all of the questions on your original submission.
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}
= 6 Ω R
_{2}
= 4 Ω R
_{3}
= 10 Ω R
_{4}
= 6.5 Ω R
_{5}
= 5 Ω R
_{6}
= 5 Ω R
_{7}
= 35 Ω
Based on these values, what would be the total resistance of the combination R
_{2}
, R
_{3}
, and R
_{4}
.
20.50 Ω
1.98 Ω
0.23 Ω
4.44 Ω
omit
Question 2
What is the total resistance of R
_{2}
, R
_{3}
, R
_{4}
, and R
_{5}
?
4.02 Ω
6.98 Ω
3.26 Ω
9.44 Ω
omit
Question 3
What is the total resistance of R
_{6}
and R
_{7}
?
4.38 Ω
0.23 Ω
40.00 Ω
5.03 Ω
omit
Question 4
What is the total resistance between points b and c?
0.33 Ω
5.95 Ω
2.99 Ω
13.81 Ω
omit
Question 5
What is the total resistance between points a and d?
19.81 Ω
11.95 Ω
8.99 Ω
2.00 Ω
omit
Question 6
If the circuit is connected to a 35.96 volt battery, what is the current through R
_{1}
?
18.02 amps
1.81 amps
4.00 amps
3.01 amps
omit
Question 7
What is the current through R
_{2}
?
0.40 amps
2.13 amps
0.46 amps
0.87 amps
omit
Question 8
What is the current through R
_{5}
?
2.97 amps
1.27 amps
0.28 amps
1.71 amps
omit
Question 9
What is the current through R
_{6}
?
3.58 amps
6.78 amps
4.32 amps
2.39 amps
omit
Question 10
What is the voltage drop across R
_{7}
?
17.90 volts
21.61 volts
33.91 volts
11.96 volts
omit
Question 11
What is the voltage drop across R
_{3}
?
19.68 volts
19.70 volts
8.26 volts
4.02 volts
omit
Question 12
How much power is dissipated through R
_{1}
?
96.00 watts
24.00 watts
143.83 watts
35.96 watts
omit
Question 13
How much power is dissipated through R
_{5}
?
6.33 watts
1.60 watts
200.61 watts
8.02 watts
omit
Question 14
How much power must be supplied by the battery to run this entire circuit?
11.96 watts
35.96 watts
96.01 watts
143.83 watts
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