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 = 4 Ω R₂ = 5 Ω R₃ = 10 Ω R₄ = 7.5 Ω R₅ = 3 Ω R₆ = 7 Ω R₇ = 49 Ω

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

2.31 Ω0.20 Ω5.00 Ω22.50 Ω

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

8.00 Ω5.31 Ω2.65 Ω2.35 Ω

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

56.00 Ω7.02 Ω0.16 Ω6.13 Ω

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

14.13 Ω4.85 Ω0.29 Ω3.47 Ω

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

8.85 Ω7.47 Ω18.13 Ω1.86 Ω

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Question 6 If the circuit is connected to a 29.88 volt battery, what is the current through R₁?

1.65 amps16.08 amps4.00 amps3.38 amps

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Question 7 What is the current through R₂?

1.16 amps0.58 amps0.58 amps2.89 amps

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Question 8 What is the current through R₅?

1.73 amps1.11 amps2.61 amps5.24 amps

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Question 9 What is the current through R₆?

4.11 amps1.98 amps3.14 amps2.34 amps

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Question 10 What is the voltage drop across R₇?

13.88 volts16.37 volts21.95 volts28.74 volts

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Question 11 What is the voltage drop across R₃?

15.69 volts5.78 volts7.44 volts26.02 volts

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Question 12 How much power is dissipated through R₁?

64.00 watts119.50 watts29.88 watts16.00 watts

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Question 13 How much power is dissipated through R₅?

9.03 watts3.01 watts81.23 watts5.20 watts

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

29.88 watts13.88 watts64.01 watts119.50 watts