Unit of Resistivity isa)meter ×Ampere/Voltb)Volt ×Ampere/meterc)Volt ×...
Unit of Resistivity isa)meter ×Ampere/Voltb)Volt ×Ampere/meterc)Volt ×...
Resistivity is a fundamental property of a material that determines how strongly it resists the flow of electric current. It is denoted by the Greek letter rho (ρ) and is measured in units of ohm meter (Ω·m). The resistivity of a material is an intrinsic property, meaning it does not depend on the dimensions or shape of the material.
The resistivity of a material can be calculated using the formula:
Resistivity (ρ) = Resistance (R) × Cross-sectional area (A) / Length (L)
Where R is the resistance of the material, A is the cross-sectional area through which the current is flowing, and L is the length of the material.
Explanation of the options:
a) meter × Ampere/Volt: This unit represents the dimensions of length multiplied by current divided by voltage, which is not the correct unit for resistivity.
b) Volt × Ampere/meter: This unit represents the dimensions of voltage multiplied by current divided by length, which is also not the correct unit for resistivity.
c) Volt × Ampere: This unit represents the dimensions of voltage multiplied by current, which is the unit for electrical power, not resistivity.
d) Volt meter/Ampere: This unit represents the dimensions of voltage multiplied by length divided by current, which is the correct unit for resistivity.
In summary, the correct unit of resistivity is Volt meter/Ampere, which represents the dimensions of voltage multiplied by length divided by current. This unit is derived from the formula for resistivity and reflects the intrinsic property of a material to resist the flow of electric current.