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 = 8.5 Ω R₅ = 4 Ω R₆ = 6 Ω R₇ = 18 Ω

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

22.50 Ω0.19 Ω1.85 Ω5.29 Ω

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

3.40 Ω5.85 Ω9.29 Ω2.92 Ω

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

0.22 Ω24.00 Ω4.50 Ω6.06 Ω

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

0.33 Ω13.79 Ω4.70 Ω3.03 Ω

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

18.79 Ω9.70 Ω1.89 Ω8.03 Ω

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Question 6 If the circuit is connected to a 16.06 volt battery, what is the current through R₁?

1.66 amps8.51 amps0.85 amps2.00 amps

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Question 7 What is the current through R₂?

0.25 amps1.06 amps0.41 amps0.16 amps

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Question 8 What is the current through R₅?

0.31 amps1.79 amps1.04 amps0.65 amps

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Question 9 What is the current through R₆?

1.30 amps2.40 amps1.01 amps1.84 amps

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Question 10 What is the voltage drop across R₇?

6.06 volts11.01 volts7.78 volts14.38 volts

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Question 11 What is the voltage drop across R₃?

2.71 volts9.25 volts4.06 volts16.11 volts

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Question 12 How much power is dissipated through R₁?

10.00 watts16.06 watts20.00 watts32.13 watts

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Question 13 How much power is dissipated through R₅?

27.27 watts0.43 watts2.61 watts1.70 watts

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

32.13 watts6.06 watts20.01 watts16.06 watts