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 = 5 Ω R₂ = 3 Ω R₃ = 10 Ω R₄ = 6.33 Ω R₅ = 4 Ω R₆ = 6 Ω R₇ = 30 Ω

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

4.26 Ω1.69 Ω19.33 Ω0.23 Ω

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

3.31 Ω2.73 Ω8.26 Ω5.69 Ω

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

0.20 Ω36.00 Ω6.03 Ω5.00 Ω

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

4.91 Ω0.32 Ω13.26 Ω3.11 Ω

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

9.91 Ω1.92 Ω8.11 Ω18.26 Ω

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Question 6 If the circuit is connected to a 24.34 volt battery, what is the current through R₁?

12.68 amps3.00 amps1.33 amps2.46 amps

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Question 7 What is the current through R₂?

0.39 amps1.89 amps0.37 amps0.76 amps

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Question 8 What is the current through R₅?

1.13 amps2.82 amps1.64 amps0.59 amps

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Question 9 What is the current through R₆?

1.56 amps2.76 amps3.80 amps2.01 amps

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Question 10 What is the voltage drop across R₇?

12.07 volts16.56 volts9.34 volts22.79 volts

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Question 11 What is the voltage drop across R₃?

14.05 volts20.88 volts5.80 volts3.71 volts

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Question 12 How much power is dissipated through R₁?

45.00 watts15.00 watts24.34 watts73.03 watts

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Question 13 How much power is dissipated through R₅?

4.53 watts1.28 watts81.92 watts5.12 watts

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

9.34 watts24.34 watts45.01 watts73.03 watts