Why resistance of a wire is directly proportional to its length?

As the length increases, the number of collisions by the moving free electrons with the fixed positive ions increases as more number of fixed positive ions are present in an increased length of the conductor. As a result, resistance increases.

Is length directly proportional to resistance?

Directly proportional ; as the length of the wire increases , its resistance increases. Why? Simply speaking,the longer the distance the electron has to travel ,the more collisions it will face with the atoms ; which means higher resistance.

How is resistance related to the length of the wire?

The longer the wire, the more resistance that there will be. There is a direct relationship between the amount of resistance encountered by charge and the length of wire it must traverse. Second, the cross-sectional area of the wires will affect the amount of resistance. Wider wires have a greater cross-sectional area.

On which factor resistance of a wire is directly proportional?

Electrical resistance is directly proportional to the length (L) of the conductor and inversely proportional to the cross-sectional area (A). It is given by the following relation.

Why is resistance directly proportional to length and inversely proportional to area?

ohms, where L is the length of the conductor, A is the area of cross-section, and ρ is the resistivity of the material. Since the resistivity of a material is constant for a specific material, then the resistance depends only on the length and the cross-section area of the conductor.

Is resistance directly proportional to length Square?

And l is length of wire and A is the cross sectional area of wire . Hence we have resistance of any substance directly proportional to length of wire and not to the square of length of wire.

Is resistance directly proportional to resistivity?

Is resistivity directly proportional to the resistance? Yes, for any object increase in resistivity will increase the resistance. Therefore, resistivity is equal to the resistance of the conductor with a unit cross-sectional area and unit length.

Which has more resistance a long wire or short wire?

The resistance of a long wire is greater than the resistance of a short wire because electrons collide with more ions as they pass through. The relationship between resistance and wire length is proportional .

How does the resistance of a wire depends on its radius?

We know that the resistance of a wire is inversely proportional to the cross-sectional area of the wire. This means that the resistance of the wire and radius of the wire is inversely proportional to each other. Therefore, as the radius increases, the resistance of wire decreases.

Is resistance inversely proportional to current?

Current is inversely proportional to the resistance. A threefold increase in the resistance would cause a threefold decrease in the current.