Torque from Current Equation:
From: | To: |
The torque from current equation calculates the torque produced by an electric motor based on its torque constant and the current flowing through it. This relationship is fundamental in motor control and electromechanical systems.
The calculator uses the torque equation:
Where:
Explanation: The torque produced by a motor is directly proportional to the current flowing through it, with the torque constant being the proportionality factor.
Details: Accurate torque calculation is essential for motor selection, performance prediction, and control system design in various applications from robotics to industrial machinery.
Tips: Enter the torque constant in N·m/A and current in amperes. Both values must be positive numbers.
Q1: What is a typical torque constant value?
A: Torque constants vary by motor type and size. Small DC motors might have kₜ values around 0.01-0.1 N·m/A, while larger industrial motors can have values >1 N·m/A.
Q2: Does this equation work for all motor types?
A: This linear relationship holds best for permanent magnet DC motors and brushless DC motors under steady-state conditions.
Q3: How does temperature affect the calculation?
A: High temperatures can reduce the torque constant slightly due to magnet strength changes in permanent magnet motors.
Q4: What if my motor's datasheet gives kₜ in different units?
A: Convert to N·m/A for this calculation. Common alternatives include oz·in/A (1 oz·in/A ≈ 0.00706 N·m/A) or lb·ft/A (1 lb·ft/A ≈ 1.3558 N·m/A).
Q5: Is this the same as back-EMF constant?
A: In SI units, the torque constant (N·m/A) is numerically equal to the back-EMF constant (V/rad/s) for ideal permanent magnet motors.