What type of relationship exists between the length of a wire and the resistance, if all other factors remain the same? Resistance is directly related to length .
What relationship exists between length & area of the wire?
Consistent with the discussion above, this equation shows that the resistance of a wire is directly proportional to the length of the wire and inversely proportional to the cross-sectional area of the wire .
What is the relationship between length and resistance?
Resistance is directly proportional to the length . This means that any change in length of the material will change its value of resistance.
Is resistance inversely proportional to length of 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.
Why resistance is directly proportional to length of the wire?
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.
Does length of wire affect current?
Current flow will decrease . Wire has resistance. The longer the wire, the higher the resistance, the less current will flow.
Does resistivity depend on the length of a conductor?
Resistivity is material property. It depends only on the material of the conductor . It does not depend on the shape and size of the conductor.
What are the factors affecting the resistance?
Resistance is the property of the material that restricts the flow of electrons. There are four factors affecting resistance which are Temperature, Length of wire, Area of the cross-section of the wire, and nature of the material .
What is resistance when 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.
What happens to resistance if length is 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 .
How do you calculate the resistance of a wire?
Specific Resistance (”ρ”) is a property of any conductive material, a figure used to determine the end-to-end resistance of a conductor given length and area in this formula: R = ρl/A . Specific resistance for materials are given in units of Ω-cmil/ft or Ω-meters (metric).
What happens to the resistance of wire when its length is increased to twice its original 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. Option C is correct.
How temperature affects the resistance of a wire?
Heating a metal conductor makes it more difficult for electricity to flow through it. These collisions cause resistance and generate heat. ... Heating the metal conductor causes atoms to vibrate more, which in turn makes it more difficult for the electrons to flow, increasing resistance.
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.
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.
How can we prove that the resistance is directly proportional to the length of a conductor?
Aim : To verify that resistance of a conductor is proportional to the length of the conductor for constant cross-section area and temperature . ... From this, we conclude that the resistance of a conductor is directly proportional to its length (l) for constant cross-sectional area. Therefore, R∝L.
