Which statements are true for the resistivity of a metal conductor:
It depends on the temperature of the material.
It becomes smaller as the cross-sectional area of the material becomes smaller.
It is positive for copper but negative for carbon.
It has units of ohms/meter.
It depends on the electronic structure of the material.
It is an intrinsic property of the conductor and is independent of the voltage applied to it.
I know that the first is true and the 2nd and 4th are false but i cant figure out the rest...
To determine the truth of the remaining statements regarding the resistivity of a metal conductor, we can apply some knowledge about electrical conductivity and the nature of metals as conductors.
Statement 3: It is positive for copper but negative for carbon.
This statement is false. Resistivity is a positive quantity and it does not depend on the specific type of material. Copper and carbon are both conductors, so the resistivity values for both would be positive.
Statement 5: It depends on the electronic structure of the material.
This statement is true. The resistivity of a material is determined by its electronic structure. The way electrons move and interact within a material affects how freely electric current can flow, directly influencing the resistivity.
Statement 6: It is an intrinsic property of the conductor and is independent of the voltage applied to it.
This statement is true. Resistivity is an intrinsic property of the conductor, meaning it remains constant regardless of the voltage applied to it. It is different from resistance, which is dependent on both resistivity and the geometry of the conductor.
So, to summarize:
- The resistivity of a metal conductor does depend on the temperature of the material.
- The resistivity does not change as the cross-sectional area of the material becomes smaller.
- It does not depend on the specific type of material (such as copper or carbon); resistivity is positive for all conductors.
- The units of resistivity are ohms/meter.
- It depends on the electronic structure of the material.
- It is an intrinsic property of the conductor and is independent of the voltage applied to it.
However, it's always a good practice to verify this information from reliable sources to ensure accuracy.