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 = 5 Ω R₂ = 3 Ω R₃ = 11 Ω R₄ = 6.67 Ω R₅ = 4 Ω R₆ = 6 Ω R₇ = 30 Ω

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

0.22 Ω20.67 Ω1.74 Ω4.52 Ω

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

5.74 Ω8.52 Ω2.77 Ω3.35 Ω

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

6.03 Ω0.20 Ω36.00 Ω5.00 Ω

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

3.15 Ω0.32 Ω13.52 Ω4.95 Ω

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

1.93 Ω8.15 Ω18.52 Ω9.95 Ω

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Question 6 If the circuit is connected to a 24.45 volt battery, what is the current through R₁?

1.32 amps3.00 amps12.65 amps2.46 amps

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Question 7 What is the current through R₂?

0.39 amps0.36 amps1.86 amps0.75 amps

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Question 8 What is the current through R₅?

1.11 amps0.57 amps2.82 amps1.65 amps

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Question 9 What is the current through R₆?

3.81 amps1.58 amps2.76 amps2.03 amps

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Question 10 What is the voltage drop across R₇?

12.17 volts9.45 volts22.88 volts16.58 volts

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Question 11 What is the voltage drop across R₃?

3.94 volts14.49 volts6.07 volts23.39 volts

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Question 12 How much power is dissipated through R₁?

45.00 watts24.45 watts73.35 watts15.00 watts

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Question 13 How much power is dissipated through R₅?

1.23 watts78.82 watts4.44 watts4.93 watts

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

45.01 watts9.45 watts24.45 watts73.35 watts