Preheat the oven to 350 degrees F. Grease a 9x5 inch loaf pan (I use baking spray with flour).
In a medium bowl, combine the flour, sugar, baking powder, dill, salt and cheddar cheese.
Add the beer to the dry ingredients and stir until just combined. Pour the mixture into the prepared loaf pan. Drizzle the melted butter evenly over the top of the batter and bake until golden brown on top, about 50 minutes.
Allow to cool on a cooling rack for 15 minutes before slicing.