We present a model describing the response in the microsecond timescale of a superconducting high
Tc thin
film connected to a voltage source. The model is based on the existence of a critical current density
j*(T), above which a highly dissipative state is observed in superconducting thin films. We use its
experimental temperature dependence to calculate the current as a function of time, flowing into a
Y Ba2Cu3O7
bridge deposited on a sapphire substrate. Unlike the usual hot spot picture, our model
accounts for the similarity of the descriptions found in various reports treating
the switching of fault current limiters based on superconducting thin films. In
particular, our calculation exhibits the main observed features: after the voltage is
turned on, the current density peaks in a few microseconds to a well defined value,
then it decreases rapidly and stabilizes to approximately half of this peak value.