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 = 8.33 Ω R₅ = 4 Ω R₆ = 7 Ω R₇ = 35 Ω

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

2.38 Ω0.19 Ω5.36 Ω23.33 Ω

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

6.38 Ω9.36 Ω2.98 Ω3.41 Ω

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

5.83 Ω7.03 Ω42.00 Ω0.17 Ω

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

3.59 Ω15.19 Ω0.28 Ω5.54 Ω

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

2.37 Ω22.19 Ω10.59 Ω12.54 Ω

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Question 6 If the circuit is connected to a 31.78 volt battery, what is the current through R₁?

1.43 amps13.38 amps3.00 amps2.53 amps

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Question 7 What is the current through R₂?

0.33 amps0.74 amps0.41 amps1.89 amps

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Question 8 What is the current through R₅?

1.15 amps1.69 amps3.16 amps0.69 amps

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Question 9 What is the current through R₆?

1.54 amps4.23 amps2.01 amps3.00 amps

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Question 10 What is the voltage drop across R₇?

10.78 volts14.04 volts21.00 volts29.62 volts

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Question 11 What is the voltage drop across R₃?

18.51 volts16.68 volts6.29 volts4.11 volts

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Question 12 How much power is dissipated through R₁?

21.00 watts31.78 watts95.34 watts63.00 watts

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Question 13 How much power is dissipated through R₅?

1.33 watts4.61 watts84.94 watts5.31 watts

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

95.34 watts63.01 watts10.78 watts31.78 watts