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 = 8.33 Ω R₅ = 4 Ω R₆ = 5 Ω R₇ = 25 Ω

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

0.19 Ω23.33 Ω5.36 Ω2.38 Ω

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

3.41 Ω6.38 Ω2.98 Ω9.36 Ω

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

4.17 Ω0.24 Ω30.00 Ω5.04 Ω

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

0.35 Ω2.88 Ω13.52 Ω5.26 Ω

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

18.52 Ω10.26 Ω1.83 Ω7.88 Ω

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Question 6 If the circuit is connected to a 23.65 volt battery, what is the current through R₁?

12.93 amps2.30 amps1.28 amps3.00 amps

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Question 7 What is the current through R₂?

0.33 amps0.59 amps0.26 amps1.52 amps

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Question 8 What is the current through R₅?

2.53 amps1.36 amps0.23 amps0.92 amps

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Question 9 What is the current through R₆?

2.43 amps1.73 amps4.38 amps3.00 amps

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Question 10 What is the voltage drop across R₇?

12.13 volts8.65 volts15.00 volts21.92 volts

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Question 11 What is the voltage drop across R₃?

14.85 volts12.15 volts3.30 volts5.62 volts

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Question 12 How much power is dissipated through R₁?

45.00 watts70.95 watts23.65 watts15.00 watts

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Question 13 How much power is dissipated through R₅?

3.70 watts0.85 watts54.68 watts3.42 watts

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

8.65 watts70.95 watts45.01 watts23.65 watts