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 = 11 Ω R₄ = 6.75 Ω R₅ = 3 Ω R₆ = 5 Ω R₇ = 35 Ω

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

4.66 Ω2.04 Ω21.75 Ω0.21 Ω

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

7.66 Ω2.29 Ω5.04 Ω2.64 Ω

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

40.00 Ω0.23 Ω5.03 Ω4.38 Ω

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

12.03 Ω2.78 Ω0.36 Ω4.48 Ω

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

10.48 Ω1.90 Ω8.78 Ω18.03 Ω

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Question 6 If the circuit is connected to a 35.14 volt battery, what is the current through R₁?

4.00 amps18.48 amps1.95 amps3.35 amps

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Question 7 What is the current through R₂?

1.00 amps0.45 amps2.46 amps0.55 amps

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Question 8 What is the current through R₅?

2.21 amps4.22 amps0.81 amps1.45 amps

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Question 9 What is the current through R₆?

4.35 amps2.23 amps6.65 amps3.00 amps

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Question 10 What is the voltage drop across R₇?

33.23 volts15.02 volts11.14 volts21.77 volts

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Question 11 What is the voltage drop across R₃?

7.81 volts25.39 volts21.17 volts4.97 volts

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Question 12 How much power is dissipated through R₁?

35.14 watts140.54 watts24.00 watts96.00 watts

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Question 13 How much power is dissipated through R₅?

6.35 watts4.36 watts2.12 watts57.13 watts

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

96.01 watts140.54 watts35.14 watts11.14 watts