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 = 4 Ω R₃ = 9 Ω R₄ = 8.5 Ω R₅ = 3 Ω R₆ = 5 Ω R₇ = 15 Ω

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

0.19 Ω5.14 Ω21.50 Ω2.09 Ω

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

8.14 Ω2.63 Ω5.09 Ω2.37 Ω

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

5.07 Ω3.75 Ω20.00 Ω0.27 Ω

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

11.89 Ω4.06 Ω2.57 Ω0.39 Ω

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

11.06 Ω1.88 Ω9.57 Ω18.89 Ω

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Question 6 If the circuit is connected to a 19.13 volt battery, what is the current through R₁?

10.19 amps1.01 amps1.73 amps2.00 amps

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Question 7 What is the current through R₂?

0.38 amps1.01 amps0.25 amps0.13 amps

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Question 8 What is the current through R₅?

1.01 amps1.95 amps0.36 amps0.63 amps

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Question 9 What is the current through R₆?

1.03 amps3.35 amps1.40 amps2.39 amps

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Question 10 What is the voltage drop across R₇?

5.13 volts7.02 volts11.95 volts16.74 volts

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Question 11 What is the voltage drop across R₃?

3.55 volts10.54 volts10.28 volts2.24 volts

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Question 12 How much power is dissipated through R₁?

19.13 watts38.27 watts14.00 watts28.00 watts

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Question 13 How much power is dissipated through R₅?

10.74 watts1.89 watts0.40 watts1.19 watts

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

5.13 watts28.01 watts19.13 watts38.27 watts