Table of Contents
- 1 Why does resistance depend on length?
- 2 What is resistivity write a relation between resistance and resistivity in terms of materials length cross-sectional area diameter why resistivity is called a material property?
- 3 How does resistance depend upon the length of the conductor?
- 4 How does length affect resistance and resistivity?
- 5 How does wire length affect resistance?
Why does resistance depend on length?
Resistance is directly proportional to the length of the conductor. So, as the length increases, the magnitude of resistance increases. Resistance is inversely proportional to the cross-sectional area of the conductor. Thus, the resistance of the conductor decreased with the decrease in cross-sectional area.
What is the relation between resistivity and resistance length of the conductor and area of cross section of the conductor?
For a conductor material, the resistance of the material is inversely proportional to the area of cross-section and directly proportional to the length of the conductor. 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.
What is resistivity write a relation between resistance and resistivity in terms of materials length cross-sectional area diameter why resistivity is called a material property?
The resistance of an object depends on its shape and the material of which it is composed. Figure 1. A uniform cylinder of length L and cross-sectional area A. Its resistance to the flow of current is similar to the resistance posed by a pipe to fluid flow. The longer the cylinder, the greater its resistance.
Is resistance inversely proportional to resistivity?
Resistance is proportional to resistivity and length, and inversely proportional to cross sectional area.
How does resistance depend upon the length of the conductor?
What is resistivity and what is the relation between resistance and resistivity?
The resistance is the ratio of the length and cross-section area of the conductor, whereas the resistivity of the material is the ratio of the product of the resistance and area to the length of the conductor. The resistance is represented by the symbol R whereas the resistivity is represented by the symbol ρ.
How does length affect resistance and resistivity?
Length, on the other hand, is the physical dimensional measurement of extension between two points. The relation between length and resistivity is given by the resistivity formula. 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 directly proportional to length?
(131), the resistance of a wire is proportional to its length, and inversely proportional to its cross-sectional area. The constant of proportionality is called the resistivity of the material making up the wire. The units of resistivity are ohm-meters ( ).
How does wire length affect resistance?
There are four factors that affect the resistance of a wire: Resistance is proportional to length. If you take a wire of different lengths and give each a particular potential difference across its ends. The longer the wire the less volts each centimetre of it will get.
What happens to resistance if length is increased?
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 .