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 = 5 Ω R₃ = 8 Ω R₄ = 9 Ω R₅ = 5 Ω R₆ = 5 Ω R₇ = 15 Ω

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

2.29 Ω22.00 Ω5.32 Ω0.19 Ω

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

4.07 Ω10.32 Ω3.54 Ω7.29 Ω

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

3.75 Ω0.27 Ω20.00 Ω5.07 Ω

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

0.36 Ω5.34 Ω2.75 Ω14.07 Ω

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

19.07 Ω7.75 Ω1.77 Ω10.34 Ω

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Question 6 If the circuit is connected to a 15.50 volt battery, what is the current through R₁?

1.50 amps0.81 amps2.00 amps8.74 amps

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Question 7 What is the current through R₂?

0.22 amps0.32 amps0.85 amps0.10 amps

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Question 8 What is the current through R₅?

0.03 amps0.53 amps1.35 amps0.75 amps

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Question 9 What is the current through R₆?

2.73 amps2.00 amps1.60 amps1.10 amps

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Question 10 What is the voltage drop across R₇?

10.00 volts5.50 volts13.67 volts8.01 volts

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Question 11 What is the voltage drop across R₃?

6.77 volts7.37 volts3.29 volts1.74 volts

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Question 12 How much power is dissipated through R₁?

20.00 watts10.00 watts15.50 watts31.00 watts

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Question 13 How much power is dissipated through R₅?

2.67 watts1.42 watts0.28 watts35.53 watts

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

5.50 watts15.50 watts20.01 watts31.00 watts