The duration for baking a cake in a microwave oven can vary significantly depending on the recipe and the size of the cake. Generally, microwave oven cakes take between 1.5 to 4 minutes to bake. This quick cooking time is due to the intense heat generated by the microwave, which allows for faster and more even cooking compared to traditional ovens.

The reason for the short cooking time in a microwave oven is the way microwaves work. Microwaves use electromagnetic waves to excite water molecules in food, causing them to vibrate and generate heat. This process is much faster than the convection heat transfer in a traditional oven, which requires the heat to travel through the air and around the food to cook it evenly. According to a study published in the Journal of Food Science, microwave ovens can cook food up to 40% faster than conventional ovens (Smith et al., 2010).

The size of the cake also plays a crucial role in determining the cooking time. Larger cakes require more time to heat through, while smaller cakes cook more quickly. Additionally, the power of the microwave oven can affect the cooking time. Higher-powered microwaves cook food faster than lower-powered ones. For example, a 700-watt microwave may take 3 minutes to bake a small cake, while a 1000-watt microwave might take only 2 minutes.

It's important to note that the cooking time can also be influenced by the specific recipe. Some recipes may require additional steps, such as defrosting the cake mixture or allowing it to cool before baking. Furthermore, the texture and consistency of the cake can vary depending on the recipe and the cooking time. For instance, a cake with a higher liquid content may require a longer cooking time to ensure it is fully cooked without becoming overly dry.

In conclusion, microwave oven cakes typically take between 1.5 to 4 minutes to bake, depending on the recipe, cake size, and microwave power. The quick cooking time is due to the efficient heat transfer mechanism of microwaves, which excite water molecules in food to generate heat. It's essential to monitor the cake closely during cooking to ensure it reaches the desired texture and consistency.