Sample DC Resistor Network

Practice Problems
Sample DC Resistor 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 = 10 Ω R₄ = 8 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.

1.79 Ω21.00 Ω0.20 Ω4.95 Ω

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

1.83 Ω3.79 Ω6.95 Ω1.67 Ω

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

0.27 Ω20.00 Ω3.75 Ω5.07 Ω

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

0.41 Ω10.70 Ω2.44 Ω3.19 Ω

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

7.44 Ω8.19 Ω1.64 Ω15.70 Ω

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Question 6 If the circuit is connected to a 14.87 volt battery, what is the current through R₁?

1.82 amps0.95 amps9.08 amps2.00 amps

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Question 7 What is the current through R₂?

0.17 amps1.13 amps0.43 amps0.27 amps

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Question 8 What is the current through R₅?

2.67 amps0.70 amps0.52 amps1.29 amps

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Question 9 What is the current through R₆?

2.65 amps1.16 amps2.00 amps0.97 amps

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Question 10 What is the voltage drop across R₇?

5.79 volts10.00 volts13.25 volts4.87 volts

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Question 11 What is the voltage drop across R₃?

9.11 volts15.04 volts3.38 volts2.67 volts

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Question 12 How much power is dissipated through R₁?

20.00 watts10.00 watts14.87 watts29.74 watts

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Question 13 How much power is dissipated through R₅?

1.40 watts0.49 watts3.93 watts0.98 watts

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

4.87 watts14.87 watts20.01 watts29.74 watts