Example of infinite perfect field with char $p$

Question

All finite fields (they have char $p$ for some $p$ prime) are perfect. A well known field which is not finite and not perfect with char $p$ is $\mathbb{F}_p(t)$, the field of rational functions with values in $\mathbb{F}_p$ with an unknown $t$.

Can someone show me an example of perfect, infinite field with char $p$?

Answer 1

A trivial example is the algebraic closure of $\Bbb F_p(t)$.