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.

omit

Question 1 In the circuit shown above, the values for each resistor are:

R₁ = 4 Ω R₂ = 3 Ω R₃ = 11 Ω R₄ = 8.5 Ω R₅ = 4 Ω R₆ = 7 Ω R₇ = 21 Ω

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

22.50 Ω1.85 Ω0.19 Ω5.29 Ω

omit

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

5.85 Ω9.29 Ω3.40 Ω2.92 Ω

omit

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

28.00 Ω0.19 Ω7.05 Ω5.25 Ω

omit

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

14.54 Ω4.84 Ω0.30 Ω3.35 Ω

omit

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

7.35 Ω1.82 Ω8.84 Ω18.54 Ω

omit

Question 6 If the circuit is connected to a 14.71 volt battery, what is the current through R₁?

2.00 amps8.06 amps1.66 amps0.79 amps

omit

Question 7 What is the current through R₂?

1.17 amps0.27 amps0.18 amps0.45 amps

omit

Question 8 What is the current through R₅?

1.98 amps0.72 amps1.15 amps0.39 amps

omit

Question 9 What is the current through R₆?

0.96 amps1.55 amps1.15 amps1.92 amps

omit

Question 10 What is the voltage drop across R₇?

13.43 volts10.88 volts8.05 volts6.71 volts

omit

Question 11 What is the voltage drop across R₃?

17.82 volts3.00 volts4.06 volts8.28 volts

omit

Question 12 How much power is dissipated through R₁?

14.71 watts29.42 watts8.00 watts16.00 watts

omit

Question 13 How much power is dissipated through R₅?

2.09 watts33.38 watts2.89 watts0.52 watts

omit

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

14.71 watts6.71 watts29.42 watts16.01 watts