The ULN2003AIN can sink up to 500mA per output, but it's recommended to limit it to 350mA for reliable operation.
You can calculate the power dissipation using the formula: Pd = Σ(Io x Vo) + (Vin x Iin), where Io is the output current, Vo is the output voltage, Vin is the input voltage, and Iin is the input current.
The minimum input voltage required is 4.5V, but it's recommended to use a minimum of 5V for reliable operation.
Yes, the ULN2003AIN can be used as a relay driver, but you need to ensure that the relay coil current is within the output current rating of the ULN2003AIN.
You can use a flyback diode (e.g., 1N4007) in parallel with the inductive load to protect the ULN2003AIN from back-EMF.