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 = 6 Ω R₂ = 5 Ω R₃ = 10 Ω R₄ = 7.5 Ω R₅ = 5 Ω R₆ = 6 Ω R₇ = 42 Ω

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

22.50 Ω0.20 Ω2.31 Ω5.00 Ω

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

10.00 Ω7.31 Ω3.42 Ω4.09 Ω

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

48.00 Ω0.19 Ω5.25 Ω6.02 Ω

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

15.25 Ω0.29 Ω3.44 Ω6.34 Ω

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

12.34 Ω2.19 Ω9.44 Ω21.25 Ω

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Question 6 If the circuit is connected to a 37.77 volt battery, what is the current through R₁?

17.27 amps4.00 amps3.06 amps1.78 amps

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Question 7 What is the current through R₂?

0.92 amps0.46 amps0.46 amps2.30 amps

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Question 8 What is the current through R₅?

3.37 amps1.38 amps0.44 amps1.88 amps

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Question 9 What is the current through R₆?

2.30 amps3.23 amps5.97 amps4.00 amps

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Question 10 What is the voltage drop across R₇?

13.77 volts35.80 volts19.41 volts24.00 volts

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Question 11 What is the voltage drop across R₃?

20.66 volts19.28 volts8.35 volts4.59 volts

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Question 12 How much power is dissipated through R₁?

37.77 watts96.00 watts151.08 watts24.00 watts

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Question 13 How much power is dissipated through R₅?

9.48 watts1.90 watts6.89 watts237.03 watts

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

37.77 watts13.77 watts151.08 watts96.01 watts