Sample DC Resistor Network

Practice Problems
Sample DC Resistor 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 = 4 Ω R₃ = 9 Ω R₄ = 6.25 Ω R₅ = 4 Ω R₆ = 7 Ω R₇ = 49 Ω

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

19.25 Ω0.24 Ω4.22 Ω1.92 Ω

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

8.22 Ω5.92 Ω3.31 Ω2.77 Ω

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

56.00 Ω6.13 Ω7.02 Ω0.16 Ω

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

3.51 Ω14.35 Ω0.28 Ω5.35 Ω

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

9.35 Ω18.35 Ω7.51 Ω1.87 Ω

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Question 6 If the circuit is connected to a 30.04 volt battery, what is the current through R₁?

4.00 amps16.07 amps1.64 amps3.21 amps

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Question 7 What is the current through R₂?

2.86 amps0.60 amps0.55 amps1.15 amps

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Question 8 What is the current through R₅?

2.37 amps4.24 amps0.92 amps1.71 amps

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Question 9 What is the current through R₆?

2.01 amps4.13 amps3.15 amps2.46 amps

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Question 10 What is the voltage drop across R₇?

28.89 volts17.19 volts14.04 volts22.02 volts

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Question 11 What is the voltage drop across R₃?

23.43 volts7.17 volts15.27 volts4.99 volts

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Question 12 How much power is dissipated through R₁?

30.04 watts120.16 watts16.00 watts64.00 watts

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Question 13 How much power is dissipated through R₅?

11.67 watts186.67 watts2.92 watts6.83 watts

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

30.04 watts120.16 watts64.01 watts14.04 watts