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 = 6 Ω R₂ = 5 Ω R₃ = 9 Ω R₄ = 9.5 Ω R₅ = 3 Ω R₆ = 7 Ω R₇ = 21 Ω

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

23.50 Ω5.66 Ω2.40 Ω0.18 Ω

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

8.66 Ω5.40 Ω2.66 Ω2.43 Ω

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

28.00 Ω7.05 Ω5.25 Ω0.19 Ω

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

13.91 Ω4.53 Ω3.27 Ω0.31 Ω

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

10.53 Ω19.91 Ω9.27 Ω2.12 Ω

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Question 6 If the circuit is connected to a 18.54 volt battery, what is the current through R₁?

2.00 amps0.93 amps8.76 amps1.76 amps

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Question 7 What is the current through R₂?

0.45 amps1.20 amps0.31 amps0.14 amps

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Question 8 What is the current through R₅?

1.21 amps0.52 amps0.75 amps2.46 amps

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Question 9 What is the current through R₆?

0.93 amps2.38 amps1.14 amps1.85 amps

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Question 10 What is the voltage drop across R₇?

6.54 volts16.67 volts12.93 volts7.97 volts

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Question 11 What is the voltage drop across R₃?

11.96 volts9.26 volts3.67 volts2.75 volts

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Question 12 How much power is dissipated through R₁?

18.54 watts24.00 watts12.00 watts37.07 watts

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Question 13 How much power is dissipated through R₅?

15.39 watts1.71 watts0.57 watts2.26 watts

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

18.54 watts24.01 watts37.07 watts6.54 watts