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 = 10 Ω R₄ = 10 Ω R₅ = 5 Ω R₆ = 6 Ω R₇ = 18 Ω

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

25.00 Ω6.00 Ω0.17 Ω2.50 Ω

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

7.50 Ω3.64 Ω11.00 Ω4.17 Ω

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

24.00 Ω0.22 Ω4.50 Ω6.06 Ω

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

3.19 Ω15.50 Ω0.31 Ω5.71 Ω

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

11.71 Ω2.08 Ω9.19 Ω21.50 Ω

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Question 6 If the circuit is connected to a 18.39 volt battery, what is the current through R₁?

0.86 amps1.57 amps8.82 amps2.00 amps

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Question 7 What is the current through R₂?

0.12 amps0.23 amps0.35 amps0.93 amps

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Question 8 What is the current through R₅?

0.15 amps0.85 amps1.53 amps0.58 amps

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Question 9 What is the current through R₆?

2.71 amps2.00 amps1.49 amps1.06 amps

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Question 10 What is the voltage drop across R₇?

6.39 volts16.26 volts8.97 volts12.00 volts

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Question 11 What is the voltage drop across R₃?

2.32 volts10.45 volts8.90 volts4.04 volts

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Question 12 How much power is dissipated through R₁?

24.00 watts12.00 watts36.77 watts18.39 watts

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Question 13 How much power is dissipated through R₅?

0.34 watts2.90 watts42.14 watts1.69 watts

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

18.39 watts36.77 watts6.39 watts24.01 watts