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 = 5 Ω R₂ = 5 Ω R₃ = 8 Ω R₄ = 7 Ω R₅ = 4 Ω R₆ = 5 Ω R₇ = 35 Ω

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

2.14 Ω20.00 Ω0.22 Ω4.55 Ω

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

3.33 Ω6.14 Ω2.86 Ω8.55 Ω

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

4.38 Ω5.03 Ω0.23 Ω40.00 Ω

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

0.35 Ω5.32 Ω12.93 Ω2.89 Ω

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

17.93 Ω1.83 Ω7.89 Ω10.32 Ω

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Question 6 If the circuit is connected to a 31.58 volt battery, what is the current through R₁?

4.00 amps17.23 amps1.76 amps3.06 amps

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Question 7 What is the current through R₂?

0.47 amps0.88 amps0.41 amps2.23 amps

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Question 8 What is the current through R₅?

1.89 amps1.35 amps0.41 amps3.47 amps

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Question 9 What is the current through R₆?

3.26 amps4.00 amps5.98 amps2.32 amps

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Question 10 What is the voltage drop across R₇?

29.92 volts20.00 volts11.58 volts16.28 volts

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Question 11 What is the voltage drop across R₃?

3.79 volts6.69 volts16.02 volts15.08 volts

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Question 12 How much power is dissipated through R₁?

31.58 watts20.00 watts126.31 watts80.00 watts

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Question 13 How much power is dissipated through R₅?

1.83 watts7.33 watts5.42 watts117.33 watts

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

80.01 watts126.31 watts31.58 watts11.58 watts