When the length of wire is increased to 4 times and its diameter is doubled its resistance?

Area of the conductor becomes 4 times the area of the conductor without doubling the diameter. Thus, we can say that new resistance will decrease four times.

When the diameter of a wire increases 4 times does the resistance become?

Resistance is inversely proportional to the cross-sectional area. If, the diameter becomes double, the area increases by the square of diameter i.e. 4 times; Therefore, resistance becomes 1/4 times.

When a wire is stretched the length of wire becomes four times the ratio of resistance is?

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

What will be the resistance of the wire when the length of the wire increases two times?

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. Note: We must not get confused as to why the area of the cross section of the wire is taken to be constant.

What happens to the resistance of a wire as its length increases?

If we increase the length of the wire, conduction electrons will have to experience correspondingly more collisions along the length of the wire and hence increased resistance.

What happens to the resistance of a piece of wire if you double its length and halve its radius?

but also on its physical dimensions. The resistance of a conductor is directly proportional to its length (L) as R ∝ L. Thus doubling its length will double its resistance, while halving its length would halve its resistance.

How does the resistance change if the diameter is doubled?

Hence, if diameter doubles, resistance becomes 1/4 times.

When the diameter of a wire doubles what will happen to its resistance?

The resistance of the wire becomes one-fourth, when the diameter of the wire is doubled.

How would resistance of wire will be affected when its length becomes 1/4th and area of cross-section increases by 4 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 will be the resistance of the wire if it is stretched?

When a wire is stretched, its volume will remain the same. Since Volume = Area x length, given that length has increased two times, the area will be halved. Resistance is proportional to Length/Area. Thus resistance increases by 4.

What determines the resistance of a wire?

The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area. Resistance also depends on the material of the conductor. The resistance of a conductor, or circuit element, generally increases with increasing temperature.

How is the resistance of a wire affected if?

(a) Resistance of a wire is directly proportional to the length of a wire; so if the length is doubled, resistance is also doubled. Thus, if radius is doubled, area increases four times and hence the resistance becomes one-fourth.

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