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?
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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
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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.
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