Question

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

Answer 1

Resistance of a wire is directly proportional to the length of the wire. As its length increases it's resistance increases.

Let x be the resistance of a wire of length L

If length of a wires is doubled to 2L its resistance is doubled to 2x

If it is doubled again, the length of the wire becomes 4L and it's resistance becomes 4x.

Thus if a given length of a wire is doubled on itself and this process is repeated once again it's resistance increases by a factor of 4

Answer 2

Resistance of a wire is directly proportional to the length of the wire. As its length increases it's resistance increases.

Let x be the resistance of a wire of length L

If length of a wires is doubled to 2L its resistance is doubled to 2x

If it is doubled again, the length of the wire becomes 4L and it's resistance becomes 4x.

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