Swedish apple and cardamom cake

2 large eggs preferably free-range and organic

175g (6oz) caster sugar

110g (4oz) butter

150ml (5fl oz) creamy milk

185g (6 1½ oz) plain flour

1 tsp freshly ground cardamom

3 tsp baking powder

2-3 Bramley Seedling cooking apples (350-400g/12-14oz approx.)

25g (1oz) caster sugar

For the cardamom sugar:

20g (¾ oz) caster sugar mixed with 1/4 teaspoon freshly ground cardamom

Equipment: 

1 x 23cm (9 inch) round springform tin