Question

A given length of a wire is doubled on itself and this process is repeated once again, by what factor does the resistance of the wire change?

Answer 1

Answer:

resistance of a wire is directly proportional to length of the wire ..as its length increases its resistance increases....

let X be the resistance of a wire of length L

if length of a wire is doubled to 2L its resistance is doubled to 2X

if it is doubled again the length of the wire becomes 4L and its resistance becomes 4x...

thus if a given length of a wire is doubled on itself and this process is repeated once again its resistance increases by a factor of 4

Explanation:

Answer 2

Answer:

The length of wire is doubled on itself and so the area get reduced to half.

The resultant resitance will be 4 times.

The process is repeated and therefore the resistance will increase by 4 times. The total resistance will be increased to 16 times.