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 = 5 Ω R₃ = 9 Ω R₄ = 7.25 Ω R₅ = 4 Ω R₆ = 5 Ω R₇ = 35 Ω

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

21.25 Ω4.78 Ω0.21 Ω2.23 Ω

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

8.78 Ω6.23 Ω2.89 Ω3.37 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?

5.39 Ω0.34 Ω2.92 Ω13.15 Ω

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

11.39 Ω19.15 Ω8.92 Ω1.96 Ω

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Question 6 If the circuit is connected to a 35.68 volt battery, what is the current through R₁?

18.17 amps4.00 amps3.13 amps1.86 amps

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Question 7 What is the current through R₂?

2.21 amps0.88 amps0.45 amps0.42 amps

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Question 8 What is the current through R₅?

3.47 amps1.88 amps1.33 amps0.46 amps

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Question 9 What is the current through R₆?

2.34 amps6.74 amps4.33 amps3.38 amps

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Question 10 What is the voltage drop across R₇?

33.68 volts21.66 volts16.88 volts11.68 volts

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Question 11 What is the voltage drop across R₃?

17.80 volts18.23 volts7.43 volts4.09 volts

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Question 12 How much power is dissipated through R₁?

142.71 watts35.68 watts96.00 watts24.00 watts

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Question 13 How much power is dissipated through R₅?

7.08 watts1.77 watts5.32 watts113.32 watts

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

96.01 watts142.71 watts11.68 watts35.68 watts