A wire has a resistance of 12 Ω. If it is stretched to double its length, what w

A wire has a resistance of 12 Ω. If it is stretched to double its length, what will be the new resistance assuming uniform cross-section?

A wire has a resistance of 12 Ω. If it is stretched to double its length, what will be the new resistance assuming uniform cross-section?

Step 1: Understand that resistance (R) is related to the length (L) of the wire.
Step 2: Know that if the length of the wire doubles, the new length becomes 2L.
Step 3: Remember that resistance is directly proportional to length, meaning if length increases, resistance increases.
Step 4: Since the original resistance is 12 Ω, and the length is doubled, the new resistance will be 2 times the original resistance.
Step 5: Calculate the new resistance: 2 * 12 Ω = 24 Ω.

Resistance and Length Relationship – Resistance of a wire is directly proportional to its length when the material and cross-sectional area remain constant.
Cross-sectional Area Consideration – When a wire is stretched, its length increases, but its cross-sectional area decreases, affecting the overall resistance.