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 = 5 Ω R₃ = 11 Ω R₄ = 8.67 Ω R₅ = 3 Ω R₆ = 5 Ω R₇ = 25 Ω

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

24.67 Ω2.46 Ω5.62 Ω0.18 Ω

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

8.62 Ω5.46 Ω2.40 Ω2.67 Ω

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

30.00 Ω0.24 Ω4.17 Ω5.04 Ω

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

2.81 Ω4.62 Ω12.79 Ω0.36 Ω

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

10.62 Ω1.91 Ω8.81 Ω18.79 Ω

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Question 6 If the circuit is connected to a 26.43 volt battery, what is the current through R₁?

3.00 amps1.41 amps2.49 amps13.81 amps

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Question 7 What is the current through R₂?

1.61 amps0.63 amps0.34 amps0.29 amps

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Question 8 What is the current through R₅?

1.54 amps0.47 amps3.15 amps0.98 amps

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Question 9 What is the current through R₆?

1.69 amps3.26 amps2.30 amps4.88 amps

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Question 10 What is the voltage drop across R₇?

16.31 volts11.50 volts24.40 volts8.43 volts

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Question 11 What is the voltage drop across R₃?

3.78 volts14.76 volts5.89 volts17.58 volts

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Question 12 How much power is dissipated through R₁?

79.28 watts18.00 watts54.00 watts26.43 watts

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Question 13 How much power is dissipated through R₅?

0.96 watts2.87 watts25.80 watts2.93 watts

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

54.01 watts26.43 watts79.28 watts8.43 watts