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I am struggling to work out out whether the conductance will increase or decrease with an increase in temperature. This I know sounds so basic yet i can't grasp something. I know that resistance increases with temperature so I would assume that conductivity will decrease. However a formula I have doesn't show this trend. below is the equation in question;
[tex] \sigma ^' = \frac {\sigma} {1+ \alpha \delta T} [/tex]
{my latex command wouldn't work so deleted the tex command to show the equation}
where
[tex] \delta{T}=T-T^{'}[/tex]
[tex] \sigma^{'}= [/tex] conductivity at common temperature = 293K
[tex] \sigma= [/tex] the conductivity at the measured temperature
T^{'}= the common temperature
T=Measured Temperature
which will then mean that;
[tex] \sigma= \sigma^{'}\beta [/tex]
where
[tex] \beta =1+\alpha \delta{T} [/tex]
which says that the conductivity will increase with temperature, from what I understand this doesn't make sense to me!
Please Help
Thanks
n
[tex] \sigma ^' = \frac {\sigma} {1+ \alpha \delta T} [/tex]
{my latex command wouldn't work so deleted the tex command to show the equation}
where
[tex] \delta{T}=T-T^{'}[/tex]
[tex] \sigma^{'}= [/tex] conductivity at common temperature = 293K
[tex] \sigma= [/tex] the conductivity at the measured temperature
T^{'}= the common temperature
T=Measured Temperature
which will then mean that;
[tex] \sigma= \sigma^{'}\beta [/tex]
where
[tex] \beta =1+\alpha \delta{T} [/tex]
which says that the conductivity will increase with temperature, from what I understand this doesn't make sense to me!
Please Help
Thanks
n
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