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 = 10 Ω R₄ = 7.33 Ω R₅ = 4 Ω R₆ = 7 Ω R₇ = 35 Ω

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

21.33 Ω2.06 Ω0.21 Ω4.81 Ω

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

8.81 Ω6.06 Ω3.37 Ω2.87 Ω

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

42.00 Ω5.83 Ω0.17 Ω7.03 Ω

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

14.65 Ω0.28 Ω5.29 Ω3.51 Ω

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

20.65 Ω11.29 Ω2.21 Ω9.51 Ω

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Question 6 If the circuit is connected to a 28.53 volt battery, what is the current through R₁?

3.00 amps1.38 amps2.53 amps12.88 amps

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Question 7 What is the current through R₂?

0.41 amps1.98 amps0.37 amps0.78 amps

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Question 8 What is the current through R₅?

3.13 amps0.72 amps1.74 amps1.19 amps

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Question 9 What is the current through R₆?

1.91 amps3.82 amps2.79 amps1.50 amps

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Question 10 What is the voltage drop across R₇?

19.50 volts26.72 volts13.37 volts10.53 volts

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Question 11 What is the voltage drop across R₃?

4.11 volts15.68 volts20.13 volts6.14 volts

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Question 12 How much power is dissipated through R₁?

85.59 watts28.53 watts18.00 watts54.00 watts

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Question 13 How much power is dissipated through R₅?

5.71 watts1.43 watts91.38 watts4.78 watts

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

54.01 watts85.59 watts28.53 watts10.53 watts