If the resistivity of a material is doubled, what happens to the resistance of a

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Question: If the resistivity of a material is doubled, what happens to the resistance of a wire of constant length and cross-sectional area?

Options:

Correct Answer: It doubles

Solution:

Resistance R is directly proportional to resistivity ρ, so if ρ is doubled, R also doubles.

If the resistivity of a material is doubled, what happens to the resistance of a wire of constant length and cross-sectional area?

If the resistivity of a material is doubled, what happens to the resistance of a wire of constant length and cross-sectional area?

Step 1: Understand that resistivity (ρ) is a property of a material that affects how easily electricity can flow through it.
Step 2: Know that resistance (R) is how much a material opposes the flow of electricity.
Step 3: Remember the relationship: Resistance (R) is directly proportional to resistivity (ρ). This means if you change resistivity, resistance changes in the same way.
Step 4: If the resistivity (ρ) is doubled, it means you have 2ρ instead of ρ.
Step 5: Since resistance (R) is directly proportional to resistivity (ρ), if you double ρ, you also double R.
Step 6: Therefore, if the resistivity of the material is doubled, the resistance of the wire also doubles.

Ohm's Law – Resistance is directly proportional to resistivity, length, and inversely proportional to cross-sectional area.
Resistivity – Resistivity is a material property that affects how much resistance a wire will have.