Relationship between effect size and statistical significance

In most of the times when effect size is reported, it seems to me that there is a clear inverse proportionality with p-value. I know that effect sizes bring information that is independent from significance, which is obvious when one considers the extreme cases of a very small and very large sample size - when large effects are difficult to found significant, and small effects can be found significant respectively. What would help is to see a plot of effect size as a function of p-value, with N as a curve parameter, but I haven't been able to find such a plot. Can anyone suggest where to find / how to create such a plot, or otherwise shed light on the problem?