As temperature of a conductor increases why does the ratio of

In summary, the ratio of conductivity to resistivity in a conductor increases as the temperature increases, and this ratio varies as the square of the conductivity. This relationship has been verified experimentally and is important in understanding conductors. However, it may also vary depending on the specific properties of the conductor, such as relaxation time and density. To calculate the resistivity of a conductor, one must use the appropriate equations and consider factors such as relaxation time, density, and molar mass.
  • #1
phymatter
131
0
as temperature of a conductor increases why does the ratio of conductivity to resistivity increase ?
 
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  • #2


1. How are the two quantities related?
2. Are you sure this applies to ALL conductors?
 
  • #3


This is a really tough question! I suggest you post it in the Solid State forum.
 
  • #4


This ratio varies as the square of the conductivity.

On the other hand the product is constant. I know a person who has verified this experimentally. The data was very impressive - a straight line went exactly through all the experimental points in the R against 1/C plot - you don't often see data like that and he was very proud of this. Science is all about experiment after all. (It wasn't conductivity actually but something similar.)
 
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  • #5


Isn't it just a matter of definition? Conductance is the inverse of resistance and there is a whole 'upside down' set of all the quantities we are more familiar with. Some problems are much easier to solve by choosing the appropriate set to use.
 
  • #6
Resistivity from relaxation time

Given the following data on copper, how do i calculate the resistivity?

Relaxation time: 2.50e10-14s
Density: 8940Kgm-3
molar mass: 63.5g

is there an equation for it.
 

FAQ: As temperature of a conductor increases why does the ratio of

What is the ratio of temperature and conductor?

The ratio of temperature and conductor refers to the relationship between the temperature of a conductor and its electrical resistance. As the temperature of a conductor increases, its electrical resistance also increases.

Why does the ratio of temperature and conductor change with increasing temperature?

This change is due to the atomic structure of the conductor. As the temperature increases, the atoms in the conductor vibrate more, causing more collisions and obstacles for the electrons to flow through, resulting in an increase in resistance.

Is there a specific equation for the ratio of temperature and conductor?

Yes, there is an equation known as the temperature coefficient of resistance (TCR) that quantifies the change in resistance with temperature. It is represented by the symbol alpha (α) and is different for each type of conductor.

How does the ratio of temperature and conductor affect the performance of electronic devices?

The change in resistance with temperature can impact the performance of electronic devices. Higher resistance can lead to higher power consumption, decreased efficiency, and even damage to the device if not properly managed.

Can the ratio of temperature and conductor be controlled?

While the change in resistance with temperature is a natural phenomenon, it can be controlled to some extent through the use of materials with low TCR or by implementing cooling systems to maintain a lower temperature of the conductor.

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