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Preheat the oven to 350 F and adjust the oven rack to the center of the oven. Cut out a circle of parchment to fit the bottom of a 9-inch springform pan; then cut out a strip to line the inside rim of the pan. Lightly grease the pan to encourage the parchment to stick, and then generously butter the parchment. This cake can definitely stick--at my in laws' I did not use the parchment strip to line the side, and parts of the cake did not remove nicely.
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In a small bowl, whisk together the flour, baking powder, and salt. Set aside.
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Peel and core the apples, then cut them into 1-inch (3cm) chunks. Toss them with a teaspoon or two of apple cider vinegar to prevent browning. Set aside.
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In a large bowl, beat the eggs (a hand whisk is fine) until foamy and then whisk in the sugar. Then whisk in the apple brandy and vanilla.
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Gently stir in half of the flour followed by half of the melted butter. Repeat. Do not overmix.
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Fold in the apple chunks until they’re well-coated with the batter and scrape them into the prepared cake pan. Smooth the top a bit.
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Bake the cake for 50-60 minutes, or until a knife inserted into the center comes out clean (it may be a little juicy looking from hitting an apple). Let the cake cool for 5 minutes, then carefully remove the sides of the cake pan, leaving behind the parchment paper. Then carefully peel away the parchment paper, making sure no apples are stuck to it.
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Let cake cool before serving. You can serve with whipped cream or crème fraîche (or even ice cream--although maybe that is more American?), or just plain (if you are, ahem, eating it for breakfast).