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 = 5 Ω R₃ = 10 Ω R₄ = 7.5 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.

5.00 Ω0.20 Ω22.50 Ω2.31 Ω

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

1.84 Ω4.31 Ω7.00 Ω1.69 Ω

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

6.02 Ω5.25 Ω48.00 Ω0.19 Ω

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

3.95 Ω3.00 Ω12.25 Ω0.33 Ω

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

1.88 Ω8.95 Ω17.25 Ω8.00 Ω

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Question 6 If the circuit is connected to a 32.00 volt battery, what is the current through R₁?

1.86 amps3.57 amps4.00 amps17.07 amps

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Question 7 What is the current through R₂?

0.57 amps2.86 amps1.14 amps0.57 amps

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Question 8 What is the current through R₅?

1.71 amps2.79 amps1.29 amps6.53 amps

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Question 9 What is the current through R₆?

5.10 amps3.67 amps2.00 amps2.35 amps

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Question 10 What is the voltage drop across R₇?

14.13 volts12.00 volts22.00 volts30.57 volts

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Question 11 What is the voltage drop across R₃?

18.10 volts25.71 volts5.71 volts7.13 volts

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Question 12 How much power is dissipated through R₁?

80.00 watts128.00 watts32.00 watts20.00 watts

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Question 13 How much power is dissipated through R₅?

3.43 watts2.94 watts5.88 watts23.51 watts

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

12.00 watts128.00 watts80.01 watts32.00 watts