Question $2(35$ marks$)$

Given two Si samples A and B$.$ Sample A doped with $$boron atoms$/$cm; Sample B doped with $$arsenic atoms$/$cm$.$

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$($a$)$ State the type of semiconductor for sample A and sample B$.$ Justify your answer.

$[8$ marks$]$

$($b$)$ Find the majority and minority carrier concentration at $300$ K for sample A$.$

$[8$ marks$]$

$($c$)$ Find the majority and minority carrier concentration at $300$ K for sample B$.$

$[8$ marks$]$