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 = 9 Ω R₄ = 6.25 Ω R₅ = 2 Ω R₆ = 6 Ω R₇ = 42 Ω

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

19.25 Ω1.92 Ω0.24 Ω4.22 Ω

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

3.92 Ω6.22 Ω1.64 Ω1.81 Ω

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

48.00 Ω6.02 Ω0.19 Ω5.25 Ω

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

0.35 Ω3.62 Ω2.85 Ω11.47 Ω

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

1.93 Ω9.62 Ω17.47 Ω8.85 Ω

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Question 6 If the circuit is connected to a 35.39 volt battery, what is the current through R₁?

3.68 amps2.03 amps4.00 amps18.33 amps

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Question 7 What is the current through R₂?

0.59 amps0.64 amps3.07 amps1.24 amps

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Question 8 What is the current through R₅?

1.51 amps6.29 amps1.83 amps2.91 amps

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Question 9 What is the current through R₆?

2.22 amps4.00 amps5.63 amps1.90 amps

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Question 10 What is the voltage drop across R₇?

24.00 volts13.32 volts33.76 volts11.39 volts

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Question 11 What is the voltage drop across R₃?

5.35 volts6.69 volts25.11 volts20.84 volts

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Question 12 How much power is dissipated through R₁?

141.55 watts96.00 watts35.39 watts24.00 watts

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Question 13 How much power is dissipated through R₅?

3.35 watts6.70 watts3.66 watts26.81 watts

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

96.01 watts141.55 watts35.39 watts11.39 watts