Sample DC Network

Practice Problems
Sample DC 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 = 3 Ω R₃ = 8 Ω R₄ = 7 Ω R₅ = 4 Ω R₆ = 7 Ω R₇ = 21 Ω

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

1.66 Ω0.23 Ω4.28 Ω18.00 Ω

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

2.79 Ω8.28 Ω3.27 Ω5.66 Ω

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

0.19 Ω5.25 Ω28.00 Ω7.05 Ω

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

0.31 Ω13.53 Ω4.71 Ω3.21 Ω

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

10.21 Ω11.71 Ω2.20 Ω20.53 Ω

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Question 6 If the circuit is connected to a 20.43 volt battery, what is the current through R₁?

1.74 amps9.28 amps2.00 amps0.99 amps

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Question 7 What is the current through R₂?

1.25 amps0.47 amps0.30 amps0.17 amps

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Question 8 What is the current through R₅?

1.96 amps0.52 amps1.13 amps0.78 amps

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Question 9 What is the current through R₆?

2.61 amps1.17 amps0.92 amps2.00 amps

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Question 10 What is the voltage drop across R₇?

18.28 volts8.22 volts14.00 volts6.43 volts

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Question 11 What is the voltage drop across R₃?

11.04 volts3.72 volts12.17 volts2.41 volts

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Question 12 How much power is dissipated through R₁?

28.00 watts40.85 watts14.00 watts20.43 watts

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Question 13 How much power is dissipated through R₅?

3.10 watts2.41 watts38.56 watts0.60 watts

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

6.43 watts40.85 watts20.43 watts28.01 watts