Steam generator, cooking apparatus, method of operation, or for the production of a steam generator and method for cooling a heater

A steam generator for cooking devices comprises a container (112) and a heater (128). In a free volume of an inner space of the container (112) which forms a water guide portion, is added to water evaporating (118). This water (118) is heated by a heater (128) at least to the boiling point, whereby vapor is produced which to a steam guiding portion of the container (112) flows along. the heater (128) is advantageously on the outer surface (126) of the container (112) at the water guide portion applied Dickschichtheizvorrichtung (130). Both the water and around it flowing steam at the water level drops cool the heating device (128).