Resistance And Resistivity

Step 1: Defining resistance.
Resistance is the opposition offered by a material to the flow of electric current. It depends on the material, temperature, length, and cross-sectional area of the conductor. The resistance is given by the formula: where is the resistivity of the material, is the length of the conductor, and is the cross-sectional area of the conductor.
Step 2: SI unit of resistance.
The SI unit of resistance is the ohm ( ). One ohm is defined as the resistance between two points of a conductor when a current of one ampere flows through the conductor with a potential difference of one volt.
Step 3: Conclusion.
Thus, resistance is the opposition to the flow of electric current, and its SI unit is the ohm .

Step 1: Using the formula for resistance.
The resistance of a conductor is related to the resistivity by the formula: where , , and .
Step 2: Rearranging to find resistivity.
Rearranging the formula to solve for resistivity : Substituting the known values: Step 3: Conclusion.
Thus, the resistivity of the material is .