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 = 7 Ω R₂ = 4 Ω R₃ = 10 Ω R₄ = 9 Ω R₅ = 5 Ω R₆ = 5 Ω R₇ = 15 Ω

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

5.48 Ω2.17 Ω23.00 Ω0.18 Ω

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

7.17 Ω3.52 Ω4.11 Ω10.48 Ω

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

0.27 Ω3.75 Ω20.00 Ω5.07 Ω

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

5.28 Ω14.23 Ω2.76 Ω0.36 Ω

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

1.98 Ω12.28 Ω21.23 Ω9.76 Ω

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Question 6 If the circuit is connected to a 19.52 volt battery, what is the current through R₁?

9.86 amps0.92 amps2.00 amps1.59 amps

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Question 7 What is the current through R₂?

0.85 amps0.32 amps0.21 amps0.11 amps

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Question 8 What is the current through R₅?

0.53 amps0.12 amps0.77 amps1.34 amps

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Question 9 What is the current through R₆?

1.10 amps3.39 amps2.36 amps1.68 amps

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Question 10 What is the voltage drop across R₇?

16.95 volts8.39 volts11.79 volts5.52 volts

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Question 11 What is the voltage drop across R₃?

10.22 volts2.06 volts10.11 volts4.11 volts

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Question 12 How much power is dissipated through R₁?

19.52 watts28.00 watts14.00 watts39.05 watts

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Question 13 How much power is dissipated through R₅?

0.28 watts34.73 watts2.64 watts1.39 watts

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

5.52 watts28.01 watts19.52 watts39.05 watts