Step 1

Preheat oven to 350°F with rack in middle.

Step 2

Use a 9x3-inch springform pan or a 9-inch round cake pan (at least 2 inches tall).

Step 3

Grease the side and the bottom of the springform pan with butter or cooking spray. Line the bottom of a 9x3-inch springform pan (or 9-inch round cake pan) with parchment paper. Grease the parchment paper too.

Step 4

Core, peel, and slice apples into chunks. In a medium bowl, toss apple chunks with cinnamon, nutmeg, and brown sugar.

Step 5

In a separate, medium mixing bowl, combine together flour, baking powder, baking soda, and salt.

Step 6

In another, large bowl, whisk together 1 cup of white sugar, vegetable oil, yogurt, and vanilla until very smooth. Add eggs and whisk until smooth.

Step 7

Add dry ingredients (flour mixture) into wet ingredients and mix until just combined. Do not overmix.

Step 8

Pour half of the batter into the greased pan, top with two-thirds of the apple chunks, then pour the remaining half of the batter on top of the apple layer.

Step 9

Bake the cake for about 45 minutes or 1 hour total. Halfway through baking - after the first 20 minutes - remove the cake from the oven and top it with the remaining one-third of the apple chunks. Return the cake to the oven and continue baking until the cake is done, for about 25 minutes or longer (when the toothpick inserted in the center comes out clean).