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 = 6 Ω R₂ = 3 Ω R₃ = 11 Ω R₄ = 6.67 Ω R₅ = 2 Ω R₆ = 6 Ω R₇ = 30 Ω

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

0.22 Ω1.74 Ω4.52 Ω20.67 Ω

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

3.74 Ω1.82 Ω1.64 Ω6.52 Ω

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

5.00 Ω36.00 Ω0.20 Ω6.03 Ω

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

2.83 Ω11.52 Ω3.39 Ω0.35 Ω

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

1.92 Ω17.52 Ω9.39 Ω8.83 Ω

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Question 6 If the circuit is connected to a 26.49 volt battery, what is the current through R₁?

2.82 amps13.78 amps1.51 amps3.00 amps

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Question 7 What is the current through R₂?

0.46 amps0.88 amps2.18 amps0.42 amps

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Question 8 What is the current through R₅?

1.12 amps1.30 amps2.27 amps4.65 amps

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Question 9 What is the current through R₆?

1.59 amps4.13 amps1.41 amps3.00 amps

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Question 10 What is the voltage drop across R₇?

18.00 volts24.79 volts8.49 volts9.56 volts

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Question 11 What is the voltage drop across R₃?

4.62 volts27.45 volts5.47 volts17.43 volts

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Question 12 How much power is dissipated through R₁?

79.46 watts26.49 watts54.00 watts18.00 watts

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Question 13 How much power is dissipated through R₅?

1.70 watts13.57 watts2.61 watts3.39 watts

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

54.01 watts8.49 watts79.46 watts26.49 watts