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 = 9 Ω R₄ = 9.5 Ω R₅ = 5 Ω R₆ = 7 Ω R₇ = 21 Ω

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

0.18 Ω5.66 Ω23.50 Ω2.40 Ω

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

10.66 Ω3.59 Ω7.40 Ω4.12 Ω

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

7.05 Ω0.19 Ω5.25 Ω28.00 Ω

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

15.91 Ω3.52 Ω0.28 Ω5.85 Ω

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

1.87 Ω19.91 Ω9.85 Ω7.52 Ω

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Question 6 If the circuit is connected to a 15.04 volt battery, what is the current through R₁?

2.00 amps0.76 amps8.03 amps1.53 amps

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Question 7 What is the current through R₂?

0.13 amps0.39 amps1.05 amps0.27 amps

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Question 8 What is the current through R₅?

1.71 amps0.19 amps0.95 amps0.66 amps

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Question 9 What is the current through R₆?

1.57 amps1.28 amps1.96 amps1.01 amps

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Question 10 What is the voltage drop across R₇?

13.70 volts8.93 volts11.02 volts7.04 volts

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Question 11 What is the voltage drop across R₃?

10.46 volts3.62 volts6.68 volts2.40 volts

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Question 12 How much power is dissipated through R₁?

15.04 watts30.07 watts8.00 watts16.00 watts

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Question 13 How much power is dissipated through R₅?

2.18 watts3.30 watts54.45 watts0.44 watts

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

15.04 watts30.07 watts7.04 watts16.01 watts