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 = 5 Ω R₃ = 10 Ω R₄ = 7.5 Ω R₅ = 3 Ω R₆ = 5 Ω R₇ = 35 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?

5.31 Ω2.35 Ω2.65 Ω8.00 Ω

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

0.23 Ω5.03 Ω4.38 Ω40.00 Ω

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

2.83 Ω0.35 Ω4.69 Ω12.38 Ω

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

2.01 Ω19.38 Ω9.83 Ω11.69 Ω

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Question 6 If the circuit is connected to a 39.31 volt battery, what is the current through R₁?

2.03 amps19.52 amps4.00 amps3.36 amps

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Question 7 What is the current through R₂?

0.47 amps0.94 amps0.47 amps2.36 amps

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Question 8 What is the current through R₅?

1.41 amps2.13 amps0.78 amps4.27 amps

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Question 9 What is the current through R₆?

4.69 amps3.15 amps7.41 amps2.26 amps

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Question 10 What is the voltage drop across R₇?

11.31 volts23.47 volts37.05 volts15.76 volts

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Question 11 What is the voltage drop across R₃?

21.21 volts21.87 volts7.68 volts4.71 volts

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Question 12 How much power is dissipated through R₁?

28.00 watts157.25 watts39.31 watts112.00 watts

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Question 13 How much power is dissipated through R₅?

6.00 watts4.24 watts53.99 watts2.00 watts

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

39.31 watts157.25 watts11.31 watts112.01 watts