Define Transition temperature for super-conductors. Give relation to show that the transitiontemperature is function of magnetic field.

The transition temperature for superconductors, often denoted as Tc, is the temperature below which a material exhibits zero electrical resistance, becoming a superconductor. Above this temperature, the material behaves as a normal conductor with resistance.

The transition temperature is a critical parameter in superconductivity. It is the temperature at which the superconducting phase transition occurs. This is the point where the material changes from its normal resistive state to the superconducting state.

The transition temperature is dependent on the magnetic field. The relation between the transition temperature (Tc) and the magnetic field (H) can be given by the equation:

Tc = Tc0(1 - (H/Hc2))

where:

• Tc0 is the transition temperature at zero magnetic field,
• H is the applied magnetic field, and
• Hc2 is the critical magnetic field at zero temperature.

This equation shows that the transition temperature decreases with increasing magnetic field. When the magnetic field reaches the critical field Hc2, the transition temperature becomes zero and the material no longer exhibits superconductivity. This is known as the upper critical field.