Correct option is B
The Correct Answer Is: (B) tripled
Explanation:
The resistance RRR of a conductor is directly proportional to its length LLL, according to the formula:
The resistance RRR of a conductor is directly proportional to its length LLL, according to the formula:
where ρ\rhoρ is the resistivity of the material, and AAA is the cross-sectional area of the conductor.
When the length of the conductor is tripled, while keeping the resistivity and cross-sectional area constant, the resistance will also triple. This is because the resistance is directly proportional to the length of the conductor.
Information Booster:
- If the length of the conductor is increased, the electrons face more resistance as they travel through the longer material, leading to an increase in resistance.
- The relationship between resistance and length is linear, meaning if the length is doubled, the resistance doubles; if the length is tripled, the resistance triples.
- The formula for resistance shows that resistance is independent of factors like the shape or dimensions of the conductor unless those affect length or area.
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