A cylindrical conductor has a length L and radius r. If the radius is doubled while keeping the length constant, how does the resistivity change?

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Q: A cylindrical conductor has a length L and radius r. If the radius is doubled while keeping the length constant, how does the resistivity change?

Solution: Resistivity is an intrinsic property of the material and does not change with geometry.

Steps: 4

Step 1: Understand what resistivity is. Resistivity is a property of a material that measures how strongly it resists the flow of electric current.
Step 2: Recognize that resistivity depends on the material itself, not on its shape or size.
Step 3: Note that when the radius of the cylindrical conductor is doubled, the shape changes, but the material remains the same.
Step 4: Conclude that since resistivity is an intrinsic property, it does not change when the radius is altered while keeping the length constant.