Robotics & Control
Intermediate

Microstepping Resolution

Finer step angle from microstepping a stepper motor.

Formula

θm=θm\theta_m = \frac{\theta}{m}

Variables

θ_mMicrostep angle
θFull step angle
mMicrosteps per step

Example

1.8° at 16 microsteps: θ_m ≈ 0.1125°

How it works

Microstepping divides a motor’s normal full-step motion into smaller electrical increments, so each command moves the shaft through only a fraction of the usual angle. The formula theta_m = theta / m works because the full step angle is shared evenly across m microsteps, making the commanded angular increment smaller while preserving the motor’s overall step structure.

When to use it

Use this when you need to know how finely a stepper motor can be commanded in a motion-control system, such as in 3D printers, CNC machines, or robotic positioning stages. It is also useful when converting controller pulse counts into expected shaft motion.

Worked example, step by step

Given a stepper motor with a full step angle of 0.900b0 and a microstepping setting of 8 microsteps per step: theta_m = theta / m theta_m = 0.900b0 / 8 theta_m = 0.112500b0 Final answer: each microstep moves the motor by 0.112500b0.

Common mistakes to avoid

  • Using the number of microsteps as a multiplier instead of dividing the full-step angle
  • Confusing microstep angle with the motor’s physical accuracy or torque performance
  • Forgetting that the full-step angle must be in consistent units before dividing

Did You Know?

Microstepping smooths motion and boosts resolution but reduces the motor's holding torque per step.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026