# Come up with your own scenario that shows a

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• apiccirello
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Come up with your own scenario that shows a relationship between multiple paths compared to one in order to explain series vs. parallel circuits.

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Page | 25 Resistivity The resistance of a wire is proportional to the length of the wire and inversely proportional to the thickness of the wire. The temperature and the material of the wire will also play a role in how fast or slow a current can flow. R = Resistance ρ = Resistivity l = length of wire A = Area of wire You can think of how resistance changes within a circuit, and relate it to how people travel through hallways. A Thick Wire (large cross-sectional area) is similar to a wide hallway, while a thin wire would be a smaller hallway. Humans would rather walk down the wide hallway because travel is easier, similar to how current travels down the path with least resistance. A Long Wire would be similar to a long hallway to walk down, while a short wire would be like a short hallway. Humans would rather walk down the shorter hallway because they are able to reach their destination quicker and easier. A Hot Wire would be similar to a hallway on a summer day with excited students moving about, while a cold hallway would be found in the winter time with students sitting bundled up and not moving around much. If a person walked down the hot hallway, they would have more people in their way to say “Hi” to, causing them to take longer to mak e it through the hallway. Critical Thinking Questions 1. Why are thick wires rather than thin wires usually used to carry large current? Thick wires have less resistance so you can have more current travel through the wire. The reason there is less resistance is because there is a lot of room for the current to travel through since there is a larger cross section. 2. Could the same length of a copper and aluminum wire have the same resistance? Explain. Yes, the same length of copper and aluminum could have the same resistance because you could vary the thickness of the wire to make the overall resistance come out to the same answer. 3. Compare the Resistances of the following: a. Thick Wire vs. Thin Wire The thin wire has more resistance because it has less room for the current to travel through. b. Long Wire vs. Short Wire The long wire has more resistance because it has more distance for the current to travel through. c. Hot Wire vs. Cool Wire The hot wire has more resistance because the particles inside are moving around more compared to the cold wire, causing more collisions. d. Series Circuit vs. Parallel Circuit The Resistance in a series circuit is higher than a parallel circuit that uses the same resistors. Note: This equation is just for background information and is not necessary for you to know. A l R
• Fall '12
• Beatty
• Charge, Current, Resistor, Electrical resistance, Series and parallel circuits, Bulb

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