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 = 3 Ω R₃ = 11 Ω R₄ = 5.75 Ω R₅ = 5 Ω R₆ = 7 Ω R₇ = 49 Ω

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

19.75 Ω1.67 Ω4.08 Ω0.25 Ω

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

9.08 Ω3.99 Ω6.67 Ω3.09 Ω

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

56.00 Ω0.16 Ω6.13 Ω7.02 Ω

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

15.20 Ω5.96 Ω0.27 Ω3.66 Ω

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

9.66 Ω2.27 Ω11.96 Ω21.20 Ω

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Question 6 If the circuit is connected to a 38.63 volt battery, what is the current through R₁?

3.23 amps1.82 amps17.00 amps4.00 amps

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Question 7 What is the current through R₂?

0.47 amps2.75 amps0.67 amps1.14 amps

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Question 8 What is the current through R₅?

0.84 amps3.67 amps1.61 amps2.19 amps

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Question 9 What is the current through R₆?

2.75 amps5.26 amps3.73 amps2.09 amps

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Question 10 What is the voltage drop across R₇?

26.09 volts19.25 volts36.84 volts14.63 volts

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Question 11 What is the voltage drop across R₃?

5.16 volts30.66 volts22.61 volts8.79 volts

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Question 12 How much power is dissipated through R₁?

154.51 watts96.00 watts24.00 watts38.63 watts

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Question 13 How much power is dissipated through R₅?

2.60 watts8.06 watts324.71 watts12.99 watts

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

154.51 watts96.01 watts14.63 watts38.63 watts