Fermi Level Problem, help plssss

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The discussion centers on determining the Fermi level (Ef) in relation to the intrinsic energy level (Ei) in semiconductor physics. The user concludes that Ef equals Ei, based on the condition that the probability of a state being filled at the conduction band edge matches the probability of a state being empty at the valence band edge. This conclusion aligns with established principles in semiconductor theory.

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Fermi Level Problem, help plssss !

Find the location of the fermi level with respect to intrinsic level if the probability that a state filled at the conduction band edge is equal to the probability that a state is empty at valence band edge.

I am looking forward to your help.
 
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I think I figured out, the answer should be Ef=Ei.
But i am open to your suggestions.
 

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