1. What is the Torque Equation of a DC Motor?

Definition: The torque equation describes how torque is produced in a DC motor based on current and magnetic flux.

Purpose: This fundamental equation helps engineers design and analyze DC motor performance.

2. How Does the Torque Equation Work?

The equation is:

Where:

• \( T \) — Torque output (lb-ft)
• \( K_t \) — Motor torque constant (lb-ft/A·Wb)
• \( I \) — Armature current (amps)
• \( \Phi \) — Magnetic flux (Webers, Wb)

Explanation: Torque is directly proportional to both the current through the armature and the strength of the magnetic field.

3. Importance of the Torque Equation

Details: Understanding this relationship is crucial for motor selection, control system design, and performance optimization.

4. Using the Calculator

Tips: Enter the motor's torque constant (from specifications), operating current, and magnetic flux. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the torque constant (Kₜ)?
A: A motor-specific value relating current and flux to torque output, typically provided in manufacturer datasheets.

Q2: How does flux affect torque?
A: More flux means more torque for the same current, but flux is often constant in shunt-wound motors.

Q3: What units should I use?
A: Consistent units are critical. This calculator uses lb-ft for torque, amps for current, and Webers for flux.

Q4: Can I use this for AC motors?
A: No, this equation specifically applies to DC motors. AC motors have different torque equations.

Q5: Why does torque depend on current?
A: Current creates the armature magnetic field that interacts with the stator field to produce torque.