If the resistivity of a material is doubled, what happens to the resistance of a wire of constant length and cross-sectional area?
Practice Questions
1 question
Q1
If the resistivity of a material is doubled, what happens to the resistance of a wire of constant length and cross-sectional area?
It doubles
It halves
It remains the same
It quadruples
Resistance R is directly proportional to resistivity ρ, so if ρ is doubled, R also doubles.
Questions & Step-by-step Solutions
1 item
Q
Q: If the resistivity of a material is doubled, what happens to the resistance of a wire of constant length and cross-sectional area?
Solution: Resistance R is directly proportional to resistivity ρ, so if ρ is doubled, R also doubles.
Steps: 6
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.
