How Does Stretching A Wire Affect Resistance? (Solution)

Answer: The resistance of a wire is inversely proportional to its area and directly proportional to its length. When the length is tripled then resistance will also become three times. If The wire is stretched 3 times the original length, the cross-section of the wire is cut to 1/3rd it’s the original cross-section.

How does the resistance of a stretched wire increase?

  • The piezo-electric effect yet further increases the resistance. Thus, there are three ways resistance in the stretched wire increases: (1) Doubling the length, (2) Reducing the cross sectional area according to Poisson’s Ratio, and (3) The piezo-electric effect. Not the answer you’re looking for?


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What happens when a wire is stretched?

When the wire is stretched to double the length, the area of cross section gets reduced to half. So when the wire is stretched, the resistance multiplies by four times.

What happens to resistivity of a wire if 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.

How does increased length of the wire affect resistance?

The resistance is directly proportional to the length of the wire, the longer the wire the greater the resistance. Well the longer the wire the more collisions the electrons will have with the atoms in the way from one end of the wire to the other. Therefore the resistance will increase as the length increases.

How will the resistance change if a given wire is stretched to double its length?

As the length of wire gets doubled, the cross-sectional area will become half of its previous value because volume of wire remains constant. Hence, we can see that the new resistance is four times the previous resistance.

What happens to the resistance and resistivity of a wire in the following cases?

In case 1, resistivity is constant and resistance is half. In case 2, resistance is constant and resistivity is half.

What occurs to resistance when the conductor diameter is increased?

Increased conductor length equals increased resistance in direct proportion. The thinner or smaller the diameter (cross sectional area), the greater the resistance. A wire with a 3mm diameter would have four times the resistance of a 6mm diameter wire.

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How does resistance of a wire change?

The resistance of a wire is directly proportional to its length and inversely proportional to its area (or square of inverse of diameter).

What does the resistivity of a wire depends on?

The resistivity is the property of the material which depends on the nature and the composition of the material and the composition is affected by the temperature. And the length and area of the cross-section is affected by the resistance, not the resistivity. Hence, the resistivity depends on the temperature.

What can be said about the resistivity of a wire?

Resistivity, commonly symbolized by the Greek letter rho, ρ, is quantitatively equal to the resistance R of a specimen such as a wire, multiplied by its cross-sectional area A, and divided by its length l; ρ = RA/l. If lengths are measured in centimetres, resistivity may be expressed in units of ohm-centimetre.

What are the four things that affect the resistance of a wire?

There are 4 different factors which affect resistance:

  • The type of material of which the resistor is made.
  • The length of the resistor.
  • The thickness of the resistor.
  • The temperature of the conductor.

Which of these will increase the resistance of a wire?

1. Decreasing the resistivity of the material the wire is composed of will increase the resistance of the wire. 2. Increasing the length of the wire will increase the resistance of the wire.

Does resistance of a wire increase with diameter?

As we know that resistance of a wire is inversely proportional to the square of its diameter. Thus when the diameter of a wire is doubled (made 2 times), its resistance becomes one-fourth (1/4), and if the diameter of a wire is halved (made 1/2), then its resistance becomes four times (4 times).

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What is the new resistance of the wire wrt the original wire if it is stretched to twice its original length?

If the original length of the wire is l and its cross-sectional area is A, then its resistance, R=ρl/A. When the length becomes 2l, cross-sectional area reduces to A/2 because volume of the wire does not change. Changes resistance, R′=ρ(2l)(A/2)=4ρlA=4R.

When a wire of resistance 10 Ohm is stretched double to its length then its resistivity becomes?

So assuming it were possible to stretch a wire to double it’s length without crystallizing the metal to drastically alter its resistance or resistivity the resulting wire would be half as thick.

What will be the resistivity of a wire if it is stretched to double of its original length without loss of mass?

The resistivity of the wire will remain same as it depends on the resistance of wire of unit length & unit cross-sectional area.

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