What happens to resistance if wire is stretched n times?

If a wire is stretched to n times of its original length, its new resistance will be. Substitute length and area after extension again to get the new resistance.

What happens to wire resistance when we double the length of the wire?

So, the new resistance, after doubling the length of the wire, becomes twice of the original resistance. Hence, if the length of a wire is doubled, then its resistance becomes doubled.

What happens to resistance when length is doubled?

From the equation, we understand that resistance is directly proportional to the length of the conductor and inversely proportional to the crossectional area of the conductor. Doubling the length doubles the resistance.

What is the resistance of the wire affected if its length is made four times?

(b) Resistance of a wire is inversely proportional to the area of cross-section the wire. Thus, if radius is doubled, area increases four times and hence the resistance becomes one-fourth.

What happens to the resistance if the length is doubled and the cross-sectional area is halved?

Also the resistance of a conductor is inversely proportional to its cross-sectional area (A) as R ∝ 1/A. Thus doubling its cross-sectional area would halve its resistance, while halving its cross-sectional area would double its resistance.

How will the resistance and resistivity of a wire change if its length is doubled?

(d) Resistivity of wire remains constant. 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.

How is the resistance of a wire affected if its length is doubled and its radius is doubled?

(b) The resistance of a wire is inversely proportional to the area of cross-section the wire. Thus, if the radius is doubled, the area increases four times and hence the resistance becomes one-fourth.

How do you calculate the resistance of a wire?

Repeat the previous steps reducing the length of the wire by 10 cm each time down to a minimum length of 10 cm. Use the results to calculate the resistance of each length of wire by using R = V/I, where R is resistance, V is voltage and I is current. Plot a graph of resistance against length for the resistance wire.

What happens when you increase the length of a wire?

For a wire whose length is increased by n times the resistance will also increase by n times provided the cross section area of the wire remains same. If the Cross section area is increased, then the resistance increased will be lower than ‘n’ times as in earlier.

What is the relation between resistance and length in a circuit?

Resistance is directly proportional to length as the graph gives a straight line through the origin. Do not touch the resistance wire whilst the circuit is connected. Allow the wire time to cool.

Do all conductors have the same resistance?

Conductors have resistance, but some are worse than others. The free electrons keep bumping into atoms. A wire’s resistance depends on four main factors: I will investigate how the length of the wire affects the resistance. I have done a preliminary experiment to help me decide the best way to do my investigation.