Why does Tc & Teff Differ for Different Types of Stars?

[heavystray]

I have a question regarding the results of my Physics investigation on Tc and Teff of stars. I found that the colour temperature that I calculated is significantly higher than the Teff for O and B stars. For mid temp stars, Tc is still more than Teff but the difference in small. But for cooler stars Tc is less than Teff. What i don't understand is, why would Tcolour be any different with Teff since they’re both calculated with an assumption that the stars are blackbodies? And why would the difference between Tc and Teff vary according to the temperature of stars? Thank you in advance. Your reply will be greatly appreciated

 

[stefan r]

I have a question regarding the results of my Physics investigation on Tc and Teff of stars. I found that the colour temperature that I calculated is significantly higher than the Teff for O and B stars. For mid temp stars, Tc is still more than Teff but the difference in small. But for cooler stars Tc is less than Teff. What i don't understand is, why would Tcolour be any different with Teff since they’re both calculated with an assumption that the stars are blackbodies? And why would the difference between Tc and Teff vary according to the temperature of stars? Thank you in advance. Your reply will be greatly appreciated

A black body emitter with the same area under the curve vs a black body with the same slope in visible (or other standard) wavelengths.

https://www.physicsforums.com/threads/color-temperature-and-effective-temperature-of-a-star.708815/

Wikipedia:

 

[heavystray]

A black body emitter with the same area under the curve vs a black body with the same slope in visible (or other standard) wavelengths.

https://www.physicsforums.com/threads/color-temperature-and-effective-temperature-of-a-star.708815/

Wikipedia:
View attachment 219353

Ok i understood. Thanks but is there any particular reason that Tc is significantly higher than Te for hot stars while lower for cooler stars?