Preheat and Prepare
Preheat your oven to 200°C/400°F/Gas 6. Melt the butter in a small pan and let it cool slightly. Brush a madeleine tray with melted butter and dust it with flour to prevent sticking.
Mix the Batter
Whisk the eggs and caster sugar together in a bowl until frothy using an electric whisk.
Fold in the self-raising flour, baking powder, grated lemon rind, and melted butter. The mixture should have a smooth batter consistency.
Bake the Madeleines
Spoon the batter into the madeleine tray, filling each shell shape about ¾ full.
Bake for 8-10 minutes until golden brown and slightly puffed in the middle.
Cool and Serve
Allow the madeleines to cool for a few minutes on a wire rack. These are best enjoyed fresh on the same day for their light and airy texture.