Current through the coil is proportional to the time that the voltage has been applied, and inversely proportional to the inductance:
\( I = \frac{V \cdot T}{L} \)
Time is given by:
\( T = \frac{I \cdot L}{V} \)
For one step, the current must go from 0 to \( I_{\text{max}} \) and back to 0, or alternatively from \(-I_{\text{max}}\) to \(+I_{\text{max}}\):
\( I = 2 \cdot I_{\text{max}} \)
The time for a single step is:
\( T = \frac{L \cdot I_{\text{max}} \cdot 2}{V} \)
To compute maximum revolutions per second, divide seconds per step by steps per revolution:
\( \text{Rev/sec} = \frac{V}{L \cdot 2 \cdot I_{\text{max}}} \div \frac{\text{steps}}{\text{rev}} \)
Maximum power is given by:
\( P_{\text{max}} = 2 \cdot I_{\text{max}} \cdot V \)