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 = 6 Ω R₂ = 4 Ω R₃ = 10 Ω R₄ = 9 Ω R₅ = 5 Ω R₆ = 6 Ω R₇ = 18 Ω

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

2.17 Ω0.18 Ω23.00 Ω5.48 Ω

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

10.48 Ω7.17 Ω4.11 Ω3.52 Ω

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

24.00 Ω4.50 Ω0.22 Ω6.06 Ω

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

14.98 Ω3.15 Ω0.32 Ω5.52 Ω

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

11.52 Ω9.15 Ω2.06 Ω20.98 Ω

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Question 6 If the circuit is connected to a 18.30 volt battery, what is the current through R₁?

2.00 amps1.59 amps8.86 amps0.87 amps

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Question 7 What is the current through R₂?

0.37 amps0.13 amps0.97 amps0.24 amps

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Question 8 What is the current through R₅?

0.60 amps0.19 amps0.88 amps1.53 amps

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Question 9 What is the current through R₆?

2.00 amps1.46 amps2.70 amps1.05 amps

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Question 10 What is the voltage drop across R₇?

6.30 volts12.00 volts16.20 volts8.77 volts

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Question 11 What is the voltage drop across R₃?

11.52 volts4.12 volts9.42 volts2.35 volts

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Question 12 How much power is dissipated through R₁?

12.00 watts36.59 watts24.00 watts18.30 watts

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Question 13 How much power is dissipated through R₅?

1.81 watts3.00 watts0.36 watts45.13 watts

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

18.30 watts36.59 watts6.30 watts24.01 watts