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BLDC Motor Back-EMF & Torque Constant Calculator

Brushless DC (BLDC) motors feature an inverse relationship between speed rating (Kv) and torque production per ampere (Kt).

Manufacturer speed constant in revolutions per minute per volt.

Operating DC supply rail voltage.

Current drawn when motor runs uncoupled at full speed.

Line-to-line phase electrical resistance in ohms.

Calculated Result
0.0104 N·m/A

Torque Constant (K_t)

Back-EMF Constant (K_e)

0.0104 V/(rad/s)

Stall Torque

3.10 N·m

Max Output Mechanical Power

1785.6 W

Calculation Breakdown

  1. K_t = K_e = 60 / (2π · K_v)0.0104 N·m/A
  2. T_stall = K_t · (V/R - I₀)3.10 N·m
  3. P_max = (T_stall · ω₀) / 41785.6 W

What Is the BLDC Motor Back-EMF & Torque Constant Calculator?

Kv and Kt are reciprocal fundamental constants governing electric motor performance.

A motor with higher Kv spins faster per volt but produces less torque per ampere of winding current.

How Does the BLDC Motor Back-EMF & Torque Constant Calculator Work?

Converts Kv in RPM/V into torque constant Kt in Newton-meters per Ampere.

Computes stall current based on terminal winding resistance and bus voltage.

Determines maximum theoretical mechanical power output at half stall speed.

BLDC Motor Back-EMF & Torque Constant Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

K_t = 60 / (2\pi K_v) \approx 9.5493 / K_v, \quad K_e = K_t, \quad I_{stall} = V / R, \quad \tau_{stall} = K_t I_{stall}, \quad P_{max} = V^2 / (4R)

Electromechanical conservation of energy linking voltage back-EMF and torque constant in SI units.

How to Use the BLDC Motor Back-EMF & Torque Constant Calculator

  1. Enter the Kv rating in RPM/V from the motor datasheet.
  2. Input the DC voltage supply and no-load current.
  3. Enter terminal phase-to-phase winding resistance in ohms.

Step-by-Step Example Calculation

Drone Propulsion Motor

Input Values:

speedConstantKvRpmV:920
nominalVoltageV:24
noLoadCurrentA:1.2
windingResistanceOhm:0.08
Worked Steps: Outrunner brushless motor on 6S LiPo power bus.

Understanding Your Result

Kt in N*m/A indicates electromagnetic torque production capability.

Max power indicates theoretical peak wattage at peak torque loading before thermal throttling.

Factors That Affect the Result

  • Permanent magnet flux density (NdFeB grade) and stator slot geometry.
  • Temperature: Rare-earth magnet remanence drops with heat, reducing Kt and raising effective Kv.

When Should You Use This Calculator?

  • Sizing electric actuators, drone multirotor powertrains, and EV traction drivetrains.
  • Selecting electronic speed controller (ESC) current ratings.

Assumptions & Limitations

  • Assumes sinusoidal or trapezoidal back-EMF with ideal electronic commutation.
  • Neglects core iron eddy current and hysteresis losses at high rotational speeds.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Electromechanical conversion Kt = 9.5493 / Kv is exact in SI metric units.

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