"乾く" is dry.　"渇く" is thirsty. "乾く" means only the state change from moist(wetty) to dry. But "渇く" means not only the state change from moist to thirsty , but also the desire to return to the original state. For example "乾燥" ⇒only the state change from moist(wetty) to dry. "渇望" ⇒I don't have something. So I want it very much.

You are right. 乾いて is dry. 渇いて is thirsty. You can't use 乾いて as thirsty.