I have a doubt on relation between torque and speed in a DC motor. Please correct me wherever I am wrong. As we know that if we increase load the armature speed will decrease so that back emf also decrease or say armature current will increase and we know that torque depends on armature current Ia ( in a dc shunt motor so the flux could be constant) Torque proportional to flux × Ia Sience Flux =constant =Torque proportional to Ia So when armature current will increase torque will increase and thus speed should also increase. In these statements please suggest where I am wrong and why.

I have a doubt on relation between torque and speed in a DC motor. Please correct me wherever I am wrong. As we know that if we increase load the armature speed will decrease so that back emf also decrease or say armature current will increase and we know that torque depends on armature current Ia ( in a dc shunt motor so the flux could be constant) Torque proportional to flux × Ia Sience Flux =constant =Torque proportional to Ia So when armature current will increase torque will increase and thus speed should also increase. So my question is that if rotor slows down because armature is not producing enough torque for increased load then why does it not regain the same speed (on which it was rotating) after the armature produces sufficient torque (due to increase in current)