Ch 25: Resistors & DC CircuitsWorksheetSee all chapters
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Concept #1: Combining Resistors in Series & Parallel

Practice: What is the equivalent resistance of the following combination of resistors?

Concept #2: Shortcut Equations for Resistors Parallel

Practice: What is the equivalent resistance of the following combination of resistors?

Example #1: Weird Arrangement (Re-Drawing Resistors)

Practice: If every resistor below has resistance R, what is the equivalent resistance of the combination, in terms of R?

Additional Problems
You have a battery supplying emf ε = 6V and negligible internal resistance. You also have three resistors with values R1 = 100 Ω, R2 = 200 Ω, and R3 = 400 Ω. What resistor combination will minimize power consumption? 
Four resistors of values 2.0Ω, 4.0Ω, 3.0Ω and  9.0Ω are connected across a DC source with voltage V as shown in the figure. If the total current through this circuit is 2.0 A, what is the current through the 4-Ω resistor? A) 1.0 A B) 2.0 A C) 1.3 A D) 2.4 A
Consider the circuit of resistors below.  Determine the equivalent resistance between points A and B. 
In the figure, consider the circuit sketched. The battery has emf ε = 80 volts and negligible internal resistance. The four resistors have resistances of R1 = 14 Ω, R2 = 21 Ω, R3 = 21 Ω, and R4 = 14 Ω. Find the voltage drop across R4. 
For the network of resistors shown in the figure, find the equivalent resistance between A and B.
Four resistors are connected as shown in the figure to a battery with emf ε = 12 V    and internal resistance r = 0.4Ω. What is (i) the current I flowing from the battery and (ii) the terminal voltage VAB  of the battery?
Four resistors are connected as shown in the figure to a battery with emf ε = 12 V   and internal resistance r = 0.4Ω. What is the equivalent resistance of the four resistors, i.e., not including the internal resistance of the battery?
Each of the resistors in the circuit shown in the figure below has a resistance of 160.0 Ω. What is the equivalent resistance of the circuit? A) 160.0 Ω B) 400.0 Ω C) 480.0 Ω D) 640.0 Ω
The resistors in the circuit shown in Figure 1 each have a resistance of 700 Ω.Find (a) the equivalent resistance of the circuit and (b) the current flowing through each resistor R if the input voltage is 24 volts.
The following diagram shows part of a closed electrical circuit. Find the electric resistance RXY of the part of the circuit shown between point X and Y. 1. RXY = 33 Ω 2. RXY = 35 Ω 3. RXY = 45 Ω 4. RXY = 25 Ω 5. RXY = 21 Ω 6. RXY = 31 Ω 7. RXY = 43 Ω 8. RXY = 23 Ω 9. RXY = 29 Ω 10. RXY = 7 Ω
Consider the circuit. What is the equivalent resistance between the points a and b ?