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.
Does length increase resistance?
First, the total length of the wires will affect the amount of resistance . The longer the wire, the more resistance that there will be. ... More collisions mean more resistance. Second, the cross-sectional area of the wires will affect the amount of resistance.
Is resistivity dependent on length?
The resistivity of a material depends on its nature and the temperature of the conductor , but not on its shape and size.
What is the dependency of resistance?
The resistance of the material depends upon the length, cross-section, and the area whereas the resistivity depends on the material’s temperature and nature.
How does length affect resistance?
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 .
Is length directly proportional to resistance?
For a given material, resistance and length formula clearly speaks that the resistance is directly proportional to its length . When the length of the material is increased, its value of resistance also increases. When the length of the material decreases, its value of resistance will also decrease.
What happens to resistance if 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.
Is resistance dependent on area?
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 .
Is resistivity dependent on temperature?
Resistivity depends on the temperature of the material . ... In metal conductors, when the temperature increases, the ion cores in the metal vibrate with a larger amplitude. This hinders the flow of electrons, and the resistivity increases.
Is resistivity dependent on shape?
The larger its cross-sectional area A, the smaller its resistance. For a given shape, the resistance depends on the material of which the object is composed . ... Resistivity ρ is an intrinsic property of a material, independent of its shape or size.
Why resistance is directly proportional to 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.
Does resistance increase with 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.
What happens to the resistance if we increase the length of conductor?
the resistance of a conductor is directly proportional to its length. so if length is increased then resistivity increases ande vice versa . so if length is doubled resistance will also get doubled i.e resistance is 4 times that of original resistance.
What is resistance explain with dependency of resistance?
Resistance is the property of the conductor which opposes the free flow of electric current or electron. ... Relation between Resistivity and Resistance is: R=ρlA , where ρ is the resistivity, l is the length of the conductor and A is the cross sectional area.
Is temperature directly proportional to resistance?
The resistance increases as the temperature of a metallic conductor increase, so the resistance is directly proportional to the temperature.
What is the relation between temperature and resistance?
As temperature rises, the number of phonons increases and with it the likelihood that the electrons and phonons will collide. Thus when temperature goes up, resistance goes up . For some materials, resistivity is a linear function of temperature. The resistivity of a conductor increases with temperature.
