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 = 7 Ω R₂ = 5 Ω R₃ = 8 Ω R₄ = 9 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.

2.29 Ω0.19 Ω5.32 Ω22.00 Ω

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

1.72 Ω4.29 Ω1.83 Ω7.32 Ω

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

3.75 Ω20.00 Ω0.27 Ω5.07 Ω

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

3.53 Ω11.07 Ω2.48 Ω0.40 Ω

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

9.48 Ω18.07 Ω1.83 Ω10.53 Ω

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Question 6 If the circuit is connected to a 18.96 volt battery, what is the current through R₁?

1.80 amps2.00 amps10.35 amps1.05 amps

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Question 7 What is the current through R₂?

1.08 amps0.40 amps0.12 amps0.28 amps

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Question 8 What is the current through R₅?

1.16 amps2.70 amps0.68 amps0.48 amps

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Question 9 What is the current through R₆?

0.99 amps2.40 amps3.33 amps1.27 amps

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Question 10 What is the voltage drop across R₇?

4.96 volts6.36 volts12.02 volts16.64 volts

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Question 11 What is the voltage drop across R₃?

3.08 volts9.37 volts9.41 volts2.22 volts

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Question 12 How much power is dissipated through R₁?

14.00 watts37.92 watts28.00 watts18.96 watts

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Question 13 How much power is dissipated through R₅?

3.67 watts1.36 watts0.92 watts0.46 watts

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

4.96 watts28.01 watts37.92 watts18.96 watts