If the length of a wire is doubled while keeping the diameter constant, what hap

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Question: If the length of a wire is doubled while keeping the diameter constant, what happens to its resistance? (2019)

Options:

Correct Answer: It doubles

Exam Year: 2019

Solution:

Resistance (R) is directly proportional to length (L). If length is doubled, resistance also doubles.

If the length of a wire is doubled while keeping the diameter constant, what happens to its resistance? (2019)

If the length of a wire is doubled while keeping the diameter constant, what happens to its resistance? (2019)

Step 1: Understand that resistance (R) is a property of a wire that affects how easily electricity can flow through it.
Step 2: Know that resistance is directly proportional to the length of the wire (L). This means that if you increase the length, the resistance increases.
Step 3: If the length of the wire is doubled, it means you have two times the original length.
Step 4: Since resistance is directly proportional to length, if the length is doubled, the resistance will also double.
Step 5: Therefore, if the original resistance was R, after doubling the length, the new resistance will be 2R.

Ohm's Law – Resistance is directly proportional to the length of the conductor, given constant cross-sectional area and material.
Material Properties – Understanding how resistance is affected by physical dimensions of a conductor.