The relationship between temperature and wattage on induction cooktops is not linear. The temperature achieved on an induction cooktop depends on several factors, including the power setting (wattage), the type of cookware used, the size of the cookware, and the initial temperature of the food being cooked.
While it's true that higher wattage settings can generally lead to faster heating and higher temperatures, the actual temperature increase is not directly proportional to the wattage. The rate at which the cookware heats up and the final temperature reached can vary significantly based on the factors mentioned above.
Induction cooktops work by inducing an electromagnetic current in the cookware, which then generates heat due to the resistance of the cookware material. The temperature of the cookware is influenced by the efficiency of this energy transfer and the heat capacity of the cookware.
When you increase the wattage (power setting) on an induction cooktop, it means more power is being supplied to the cookware, leading to faster heating. However, as the cookware heats up, it may reach a point where the rate of temperature increase slows down due to factors like the cookware's material, thickness, and the amount of food in it.
To answer your specific question, you may not get twice the temperature differential at 200W compared to 100W. The actual temperature increase will depend on the factors mentioned earlier. Generally, a higher wattage will result in faster heating and higher temperatures, but the relationship is not linear and can be influenced by other variables.
When using an induction cooktop, it's best to follow the manufacturer's guidelines and recommendations for specific power settings and cooking times to achieve the desired results. If you need precise temperature control, using a thermometer or a cookware with temperature-indicating features can be helpful.