Sample DC Network

Practice Problems
Sample DC 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.

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Question 1 In the circuit shown above, the values for each resistor are:

R₁ = 4 Ω R₂ = 3 Ω R₃ = 8 Ω R₄ = 5.67 Ω R₅ = 5 Ω R₆ = 6 Ω R₇ = 30 Ω

Based on these values, what would be the total resistance of the combination R₂, R₃, and R₄.

3.74 Ω0.27 Ω1.58 Ω16.67 Ω

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Question 2 What is the total resistance of R₂, R₃, R₄, and R₅?

3.85 Ω8.74 Ω3.05 Ω6.58 Ω

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Question 3 What is the total resistance of R₆ and R₇?

0.20 Ω36.00 Ω5.00 Ω6.03 Ω

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Question 4 What is the total resistance between points b and c?

5.56 Ω0.31 Ω3.18 Ω13.74 Ω

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Question 5 What is the total resistance between points a and d?

7.18 Ω1.77 Ω9.56 Ω17.74 Ω

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Question 6 If the circuit is connected to a 21.54 volt battery, what is the current through R₁?

12.16 amps3.00 amps2.25 amps1.21 amps

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Question 7 What is the current through R₂?

1.81 amps0.35 amps0.37 amps0.72 amps

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Question 8 What is the current through R₅?

2.48 amps1.09 amps0.35 amps1.45 amps

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Question 9 What is the current through R₆?

3.38 amps2.09 amps1.59 amps2.53 amps

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Question 10 What is the voltage drop across R₇?

20.27 volts12.53 volts15.18 volts9.54 volts

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Question 11 What is the voltage drop across R₃?

10.77 volts5.14 volts2.97 volts14.97 volts

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Question 12 How much power is dissipated through R₁?

36.00 watts12.00 watts21.54 watts64.62 watts

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Question 13 How much power is dissipated through R₅?

5.96 watts1.19 watts5.46 watts148.98 watts

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Question 14 How much power must be supplied by the battery to run this entire circuit?

9.54 watts21.54 watts36.01 watts64.62 watts