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 = 11 Ω R₄ = 8.67 Ω R₅ = 3 Ω R₆ = 6 Ω R₇ = 30 Ω

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

0.18 Ω5.62 Ω2.46 Ω24.67 Ω

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

8.62 Ω2.40 Ω2.67 Ω5.46 Ω

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

6.03 Ω5.00 Ω0.20 Ω36.00 Ω

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

13.62 Ω0.32 Ω4.74 Ω3.16 Ω

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

19.62 Ω9.16 Ω10.74 Ω2.07 Ω

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Question 6 If the circuit is connected to a 27.49 volt battery, what is the current through R₁?

1.40 amps2.56 amps13.27 amps3.00 amps

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Question 7 What is the current through R₂?

0.39 amps0.71 amps0.33 amps1.82 amps

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Question 8 What is the current through R₅?

0.66 amps1.74 amps3.55 amps1.10 amps

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Question 9 What is the current through R₆?

2.02 amps4.27 amps3.00 amps1.58 amps

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Question 10 What is the voltage drop across R₇?

18.00 volts25.60 volts9.49 volts12.14 volts

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Question 11 What is the voltage drop across R₃?

4.26 volts19.81 volts15.33 volts6.07 volts

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Question 12 How much power is dissipated through R₁?

82.48 watts54.00 watts27.49 watts18.00 watts

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Question 13 How much power is dissipated through R₅?

32.74 watts1.21 watts3.64 watts3.30 watts

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

54.01 watts82.48 watts27.49 watts9.49 watts