If the length of a wire is doubled while keeping the cross-sectional area consta

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Question: If the length of a wire is doubled while keeping the cross-sectional area constant, how does its resistance change?

Options:

Correct Answer: Doubles

Solution:

Resistance is directly proportional to length; doubling the length doubles the resistance.

If the length of a wire is doubled while keeping the cross-sectional area constant, how does its resistance change?

If the length of a wire is doubled while keeping the cross-sectional area constant, how does its resistance change?

Correct Answer: Resistance doubles.

Step 1: Understand that resistance is a property of a wire that affects how easily electricity can flow through it.
Step 2: Know that resistance (R) is directly related to the length (L) of the wire. 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 a wire that is twice as long as before.
Step 4: Since resistance is directly proportional to length, if you double the length of the wire, you also double the resistance.
Step 5: Therefore, if the original resistance was R, the new resistance after doubling the length will be 2R.

Ohm's Law – Resistance (R) is directly proportional to the length (L) of the wire, given by the formula R = ρ(L/A), where ρ is resistivity and A is cross-sectional area.