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 = 8 Ω R₄ = 7 Ω R₅ = 2 Ω R₆ = 5 Ω R₇ = 15 Ω

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

0.23 Ω1.66 Ω18.00 Ω4.28 Ω

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

1.80 Ω6.28 Ω1.64 Ω3.66 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?

2.35 Ω0.43 Ω3.10 Ω10.03 Ω

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

1.60 Ω8.10 Ω15.03 Ω7.35 Ω

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Question 6 If the circuit is connected to a 14.70 volt battery, what is the current through R₁?

0.98 amps2.00 amps1.82 amps9.20 amps

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Question 7 What is the current through R₂?

0.17 amps0.29 amps0.46 amps1.20 amps

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Question 8 What is the current through R₅?

0.75 amps2.61 amps1.28 amps0.56 amps

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Question 9 What is the current through R₆?

2.63 amps1.12 amps0.94 amps2.00 amps

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Question 10 What is the voltage drop across R₇?

5.62 volts4.70 volts10.00 volts13.13 volts

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Question 11 What is the voltage drop across R₃?

2.33 volts3.00 volts8.46 volts11.73 volts

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Question 12 How much power is dissipated through R₁?

20.00 watts29.39 watts10.00 watts14.70 watts

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Question 13 How much power is dissipated through R₅?

1.12 watts4.48 watts1.50 watts0.56 watts

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

20.01 watts29.39 watts14.70 watts4.70 watts