A cylindrical conductor has a length L and radius r. If the radius is doubled wh
Practice Questions
Q1
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?
Doubles
Halves
Remains the same
Increases four times
Questions & Step-by-Step Solutions
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?
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.
Resistivity – Resistivity is a material property that quantifies how strongly a given material opposes the flow of electric current, and it is independent of the shape and size of the conductor.
Geometry of Conductors – The geometry of a conductor, such as its length and radius, affects its resistance but not its resistivity.
