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 = 11 Ω R₄ = 6.67 Ω R₅ = 4 Ω R₆ = 5 Ω R₇ = 25 Ω

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

1.74 Ω0.22 Ω4.52 Ω20.67 Ω

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

2.77 Ω3.35 Ω8.52 Ω5.74 Ω

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

4.17 Ω30.00 Ω0.24 Ω5.04 Ω

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

4.82 Ω12.68 Ω0.36 Ω2.80 Ω

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

17.68 Ω9.82 Ω7.80 Ω1.79 Ω

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Question 6 If the circuit is connected to a 23.39 volt battery, what is the current through R₁?

13.04 amps1.32 amps2.38 amps3.00 amps

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Question 7 What is the current through R₂?

1.65 amps0.67 amps0.32 amps0.35 amps

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Question 8 What is the current through R₅?

0.99 amps0.37 amps1.46 amps2.50 amps

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Question 9 What is the current through R₆?

1.68 amps2.30 amps3.00 amps4.34 amps

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Question 10 What is the voltage drop across R₇?

15.00 volts11.48 volts8.39 volts21.71 volts

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Question 11 What is the voltage drop across R₃?

13.96 volts3.50 volts20.77 volts5.92 volts

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Question 12 How much power is dissipated through R₁?

23.39 watts45.00 watts15.00 watts70.18 watts

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Question 13 How much power is dissipated through R₅?

3.94 watts62.17 watts3.89 watts0.97 watts

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

8.39 watts45.01 watts70.18 watts23.39 watts