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 = 4 Ω R₃ = 11 Ω R₄ = 6.75 Ω R₅ = 4 Ω R₆ = 6 Ω R₇ = 42 Ω

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

4.66 Ω21.75 Ω2.04 Ω0.21 Ω

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

3.38 Ω6.04 Ω2.83 Ω8.66 Ω

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

0.19 Ω5.25 Ω48.00 Ω6.02 Ω

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

0.31 Ω13.91 Ω3.27 Ω5.37 Ω

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

19.91 Ω9.27 Ω11.37 Ω2.12 Ω

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Question 6 If the circuit is connected to a 37.07 volt battery, what is the current through R₁?

3.26 amps17.52 amps4.00 amps1.86 amps

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Question 7 What is the current through R₂?

0.47 amps1.04 amps0.57 amps2.55 amps

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Question 8 What is the current through R₅?

3.87 amps0.77 amps1.51 amps2.16 amps

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Question 9 What is the current through R₆?

2.92 amps2.18 amps4.00 amps5.87 amps

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Question 10 What is the voltage drop across R₇?

17.51 volts35.20 volts13.07 volts24.00 volts

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Question 11 What is the voltage drop across R₃?

5.16 volts21.39 volts26.36 volts8.41 volts

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Question 12 How much power is dissipated through R₁?

148.29 watts96.00 watts24.00 watts37.07 watts

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Question 13 How much power is dissipated through R₅?

6.04 watts145.97 watts9.12 watts2.28 watts

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

96.01 watts148.29 watts13.07 watts37.07 watts