1. In a large pot, combine chicken, broth, carrots, celery, onion, garlic, salt, and pepper. Bring to a boil, then reduce heat and simmer for 30 minutes.
2. In a mixing bowl, combine flour, baking powder, and salt. Stir in milk and melted butter until just combined.
3. Drop spoonfuls of dumpling batter into the simmering pot. Cover and cook for 10 minutes, until dumplings are cooked through.
Notes:
For extra flavor, add a bay leaf or some fresh herbs to the broth.