# What determines the maximum torque of a DC motor?

What determines the maximum torque of a DC motor? How is this related to the equations

$$E=k\omega$$ $$T=kI$$

where

• $E$ is electromagnetic force / voltage (V)
• $\omega$ is rotational speed (rad/s)
• $T$ is torque (Nm)
• $I$ is current (A)
• $\phi$ is flux (Wb)
• $k$ is the motor constant (V/(rad/s)=Nm/A) such that $k=K\phi$