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 = 4 Ω R₃ = 10 Ω R₄ = 6.5 Ω R₅ = 3 Ω R₆ = 5 Ω R₇ = 35 Ω

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

0.23 Ω1.98 Ω20.50 Ω4.44 Ω

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

4.98 Ω7.44 Ω2.27 Ω2.62 Ω

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

5.03 Ω40.00 Ω4.38 Ω0.23 Ω

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

4.43 Ω11.81 Ω2.75 Ω0.36 Ω

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

1.63 Ω6.75 Ω8.43 Ω15.81 Ω

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Question 6 If the circuit is connected to a 27.02 volt battery, what is the current through R₁?

16.56 amps1.71 amps4.00 amps3.20 amps

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Question 7 What is the current through R₂?

0.47 amps0.54 amps2.49 amps1.01 amps

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Question 8 What is the current through R₅?

4.21 amps0.69 amps1.48 amps2.21 amps

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Question 9 What is the current through R₆?

2.20 amps5.15 amps3.64 amps2.84 amps

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Question 10 What is the voltage drop across R₇?

25.76 volts11.02 volts18.20 volts14.20 volts

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Question 11 What is the voltage drop across R₃?

23.01 volts4.70 volts15.23 volts6.97 volts

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Question 12 How much power is dissipated through R₁?

27.02 watts64.00 watts108.08 watts16.00 watts

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Question 13 How much power is dissipated through R₅?

2.19 watts59.24 watts4.44 watts6.58 watts

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

108.08 watts27.02 watts64.01 watts11.02 watts