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In this paper, we prove a function field-analogue of Poonen-Rains heuristicson the average size of $p$-Selmer group. Let $E$ be an elliptic curve definedover $\mathbb{Z}[t]$. Then $E$ is also defined over $\mathbb{F}_q$ for any $q$of prime power. We show that for large enough $q$, the average size of the$p$-Selmer groups over the family of quadratic twists of $E$ over$\mathbb{F}_q[t]$ is equal to $p+1$ for all but finitely many primes $p$.Namely, if we twist the curve in $\mathbb{F}_q[t]$ by polynomials of fixeddegree $n$ and let both $n$ and $q$ approach to infinity, then the average rankof $p$-Selmer group converges to $p+1$.

Average size of Selmer group in large q limit