What happens to resistivity when length is doubled?

The Resistivity of the wire will not change with the change in length. Resistivity is a property of the wire, it doesn’t depend upon it’s length or cross-sectional area.

What happens to the resistivity of a wire when it is stretched?

Answer: The Resistivity of the wire will not change with the change in length. Resistivity is a property of the wire, it doesn’t depend upon it’s length or cross-sectional area.

When a wire is stretched to double its length the longitudinal strain produced in it is?

Longitudinal Strain is ratio of change in length to original length. Wire is stretched to double it’s original length. Hence change in length = 2×L – L (where L is original length. ) Therefore change in length is L.

What happens to the resistance when the length of the wire increases?

The resistance increases by four times. The Resistivity remains the same. The resistance is directly proportional to the length of the wire and inversely proportional to the cross sectional area of the wire. In this case, the length doubles and the cross sectional area gets halved. So the resistance increases by four times.

What is the formula for the resistance of a stretched wire?

R ′ = ρ ′ l ′ 2 V ′ = ρ ( 2 l) 2 V, where V’ = V and ρ’ = ρ, because resistivity and the volume of wire remains the same. Thus, when a wire is stretched to double its length, its resistance becomes 4 times its original resistance and resistivity remains the same.

What is the resistance of a conductor when it is doubled?

Since the volume of conductor has not changed, doubling the length must also halve it’s cross-sectional area. This should result in twice the resistivity per unit length. If the resistivity doubles as well as doubling the length, then the total resistance would be 4 times the original.

What happens when you stretch a wire to make it longer?

1 Answer. As a wire gets longer its resistance increases, and as it gets thinner its resistance also increases because its cross sectional area decreases. Doubling the length will double the resistance, but the wire also must get thinner as it is stretched, because it will contain the same amount of metal in twice the length.