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 = 6 Ω R₂ = 4 Ω R₃ = 8 Ω R₄ = 6.67 Ω R₅ = 5 Ω R₆ = 6 Ω R₇ = 30 Ω

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

0.23 Ω18.67 Ω1.90 Ω4.29 Ω

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

9.29 Ω3.26 Ω3.94 Ω6.90 Ω

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

5.00 Ω0.20 Ω6.03 Ω36.00 Ω

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

5.79 Ω3.25 Ω14.29 Ω0.31 Ω

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

20.29 Ω2.11 Ω9.25 Ω11.79 Ω

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Question 6 If the circuit is connected to a 27.75 volt battery, what is the current through R₁?

2.35 amps1.37 amps3.00 amps13.16 amps

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Question 7 What is the current through R₂?

0.38 amps0.68 amps0.30 amps1.73 amps

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Question 8 What is the current through R₅?

0.40 amps2.47 amps1.41 amps1.05 amps

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Question 9 What is the current through R₆?

1.63 amps2.27 amps4.30 amps3.00 amps

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Question 10 What is the voltage drop across R₇?

18.00 volts9.75 volts13.63 volts25.80 volts

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Question 11 What is the voltage drop across R₃?

3.00 volts5.59 volts13.50 volts13.70 volts

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Question 12 How much power is dissipated through R₁?

83.25 watts27.75 watts18.00 watts54.00 watts

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Question 13 How much power is dissipated through R₅?

1.10 watts5.51 watts5.25 watts137.81 watts

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

83.25 watts9.75 watts27.75 watts54.01 watts