I am working on designing a high frequency power transformer for a half bridge inverter supply, and i am confused

The transformer cores i purchased(EE80 ferrite) state a saturation flux density of 5000 gauss, but from the research i have been doing, and if i understand correctly the max flux density at 40khz should be less than 2000 gauss, why is this? and what happens if i run the transformer at 4500 gauss at the same frequency?

I did some calculations on a high frequency transformer using the same exact core (also running at 40khz) and i have and found that it is being run at about 4500 gauss

The transformer cores i purchased(EE80 ferrite) state a saturation flux density of 5000 gauss, but from the research i have been doing, and if i understand correctly the max flux density at 40khz should be less than 2000 gauss, why is this? and what happens if i run the transformer at 4500 gauss at the same frequency?

I did some calculations on a high frequency transformer using the same exact core (also running at 40khz) and i have and found that it is being run at about 4500 gauss

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