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 = 5 Ω R₃ = 10 Ω R₄ = 7.5 Ω R₅ = 3 Ω R₆ = 6 Ω R₇ = 42 Ω

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

22.50 Ω0.20 Ω5.00 Ω2.31 Ω

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

8.00 Ω2.35 Ω5.31 Ω2.65 Ω

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

6.02 Ω5.25 Ω0.19 Ω48.00 Ω

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

3.17 Ω4.78 Ω13.25 Ω0.32 Ω

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

1.77 Ω17.25 Ω8.78 Ω7.17 Ω

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Question 6 If the circuit is connected to a 28.68 volt battery, what is the current through R₁?

1.66 amps3.27 amps4.00 amps16.22 amps

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Question 7 What is the current through R₂?

0.53 amps1.06 amps0.53 amps2.64 amps

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Question 8 What is the current through R₅?

1.58 amps2.39 amps0.85 amps4.79 amps

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Question 9 What is the current through R₆?

4.58 amps2.60 amps2.11 amps3.37 amps

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Question 10 What is the voltage drop across R₇?

15.61 volts20.23 volts12.68 volts27.47 volts

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Question 11 What is the voltage drop across R₃?

15.14 volts7.24 volts5.28 volts23.77 volts

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Question 12 How much power is dissipated through R₁?

64.00 watts114.72 watts16.00 watts28.68 watts

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Question 13 How much power is dissipated through R₅?

67.82 watts7.54 watts4.75 watts2.51 watts

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

12.68 watts114.72 watts28.68 watts64.01 watts