# Hacktivateed

## How does the resistance of a wire depend on it?

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 does resistance depend on length and radius?

Resistance is directly proportional to the length and inversely proportional to the square of radius.

How is resistance of a wire affected if its radius?

(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.

How does resistance depend on diameter?

Resistance is inversely proportional to cross sectional area. So if the diameter is halved the cross-sectional area is quartered and the resistance is quadrupled.

## On which three of the following does the resistance of a wire depend?

The resistance of a given piece of wire depends of three factors: the length of the wire, the cross-sectional area of the wire, and the resistivity of the material composing the wire.

### How does the resistance of a metallic wire depends on the following i the length of wire II the thickness of wire III the temperature of wire?

(i) The resistance of a wire increases with increases in the length of wire (R ∝ l). (ii) The resistance of a wire decreases with increase in its thickness (R ∝ l/a where a = πr2, the area of cross-section of the wire). (iii) The resistance of a metallic wire increases with increase in its temperature.

This is because resistance is inversely proportional to the radius of the blood vessel (one-half of the vessel’s diameter) raised to the fourth power (R = 1/r4). This means, for example, that if an artery or arteriole constricts to one-half of its original radius, the resistance to flow will increase 16 times.

What is the relationship between resistance and area?

The relationship between resistance and the area of the cross section of a wire is inversely proportional . When resistance is increased in a circuit , for example by adding more electrical components , the current decreases as a result.

## How is the resistance of wire affected if its temperature is increased?

With increasing temperature, the resistance of the wire increases as collisions within the wire increase and “slow” the flow of current. Since conductors typically display an increased resistivity with temperature increase, they have a positive temperature coefficient.

### What is the resistance of a wire if the length is doubled?

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.

Does resistance change diameter?

The resistance is inversely proportion to the area of the conductor. The area is proportional to the square of the diameter. Therefore, the resistance is inversely proportional to the square of the diameter of the conductor. The resistance gets decreased as the diameter is increased.

Does diameter affect resistance?

The greater the diameter of the cylinder, the more current it can carry (again similar to the flow of fluid through a pipe). In fact, R is inversely proportional to the cylinder’s cross-sectional area A. The larger its cross-sectional area A, the smaller its resistance.

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

Length

• Temperature
• Cross sectional area
• Material
• Magnetism
• ### How do you calculate the resistance of a wire?

The resistance of a wire is given by the equation: R = ρ x l/A. Where R is resistance, ρ (pronounced ‘rho’) is the resistivity of the wire, l is length and A is its cross-sectional area.

How does the length of a wire affect its resistance?

The length of wire can affect resistance because if the wire is long the electrons in the conductor have to travel more distance and more frequent collisions will happen. Therefore the resistance is directly proportional to the length. So if you increase the length the resistance to will increase.

What kind of wire has the most resistance?

Types. Nichrome, a non-magnetic 80/20 alloy of nickel and chromium, is the most common resistance wire for heating purposes because it has a high resistivity and resistance to oxidation at high temperatures. When used as a heating element, resistance wire is usually wound into coils.