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 = 9.5 Ω R₅ = 2 Ω R₆ = 5 Ω R₇ = 15 Ω

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

0.17 Ω24.50 Ω5.82 Ω2.24 Ω

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

1.72 Ω7.82 Ω4.24 Ω1.85 Ω

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

20.00 Ω5.07 Ω0.27 Ω3.75 Ω

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

3.50 Ω11.57 Ω2.53 Ω0.39 Ω

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

8.53 Ω9.50 Ω17.57 Ω1.78 Ω

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Question 6 If the circuit is connected to a 17.07 volt battery, what is the current through R₁?

9.58 amps0.97 amps2.00 amps1.80 amps

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Question 7 What is the current through R₂?

1.05 amps0.15 amps0.25 amps0.40 amps

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Question 8 What is the current through R₅?

2.74 amps1.20 amps0.45 amps0.65 amps

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Question 9 What is the current through R₆?

1.01 amps1.26 amps2.20 amps3.01 amps

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Question 10 What is the voltage drop across R₇?

15.04 volts5.07 volts6.29 volts10.99 volts

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Question 11 What is the voltage drop across R₃?

14.14 volts3.66 volts10.08 volts2.77 volts

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Question 12 How much power is dissipated through R₁?

17.07 watts12.00 watts34.14 watts24.00 watts

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Question 13 How much power is dissipated through R₅?

0.84 watts0.42 watts3.36 watts1.30 watts

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

17.07 watts5.07 watts24.01 watts34.14 watts