Preheat the oven to 375°F (190°C) and line a baking sheet with parchment paper.
In a mixing bowl, beat the eggs and granulated sugar with an electric mixer on high speed for about 5 minutes until thick and pale.
Add the vanilla extract and mix until combined.
In a separate bowl, whisk together the sifted flour, baking powder, and salt.
Gradually fold the dry ingredients into the egg mixture, being careful not to deflate the batter.
Pour the batter onto the prepared baking sheet and spread it evenly.
Bake for 10-12 minutes, or until the cake is lightly golden and springs back when touched.
While the cake is baking, lay a clean kitchen towel on a flat surface and dust it with powdered sugar.
Once baked, carefully invert the cake onto the towel and peel off the parchment paper.
Roll the cake with the towel while it is still warm and let it cool completely.
Unroll the cooled cake and spread the strawberry jam evenly over the surface.
Roll the cake back up without the towel and place it seam-side down.
Dust the top with powdered sugar before serving.