Preheat oven to 380ºF. Grease and flour a cake pan.
Beat eggs and sugar with mixer until slightly thickened.
Add melted butter and mix well.
Stir in the flour and baking powder.
Add the cranberries and stir gently.
Pour batter into the prepared pan. Bake for 40-50 minutes or until a toothpick inserted in the center comes out clean.
Remove the cake from the oven and allow it to cool. If desired, dust with confectioners sugar.