A given length of a wire is doubled of itself and this process is repeated once again. By what factor does the resistance of the wire changes?

Given: The length of a wire is doubled on itself and this process is repeated once again

To find: The factor by which the resistance of the wire changes.

Solution:

The resistance of a wire is directly proportional to the length of the wire. 

If the length of the wire is made 'n' times, resistance also becomes 'n' times.

If the length L of a wire is doubled, it will become 2L

If it is doubled again, the length of the wire becomes 4L

So, the resistance also increases by 4 times.

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Updated on: 10-Oct-2022

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