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 = 5 Ω R₃ = 10 Ω R₄ = 10 Ω R₅ = 4 Ω R₆ = 7 Ω R₇ = 21 Ω

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

2.50 Ω25.00 Ω0.17 Ω6.00 Ω

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

3.08 Ω10.00 Ω3.45 Ω6.50 Ω

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

7.05 Ω5.25 Ω28.00 Ω0.19 Ω

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

5.28 Ω15.25 Ω3.44 Ω0.29 Ω

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

2.04 Ω20.25 Ω10.28 Ω8.44 Ω

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Question 6 If the circuit is connected to a 16.89 volt battery, what is the current through R₁?

2.00 amps8.28 amps1.64 amps0.83 amps

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Question 7 What is the current through R₂?

0.14 amps0.41 amps1.10 amps0.28 amps

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Question 8 What is the current through R₅?

1.06 amps2.00 amps0.69 amps0.33 amps

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Question 9 What is the current through R₆?

0.98 amps1.24 amps2.18 amps1.71 amps

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Question 10 What is the voltage drop across R₇?

15.25 volts8.67 volts6.89 volts11.97 volts

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Question 11 What is the voltage drop across R₃?

12.39 volts3.94 volts2.75 volts8.33 volts

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Question 12 How much power is dissipated through R₁?

16.89 watts20.00 watts33.77 watts10.00 watts

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Question 13 How much power is dissipated through R₅?

1.90 watts0.47 watts30.34 watts2.75 watts

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

33.77 watts6.89 watts20.01 watts16.89 watts