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Torque Equation of DC Motor Derivation

Torque Formula:

\[ T = K_t \times I \times \Phi \]

lb-ft/A·Wb
amps
Wb
lb-ft

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

Definition: The torque equation describes how torque in a DC motor is proportional to the current and magnetic flux.

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

2. How Does the Torque Equation Work?

The equation is expressed as:

\[ T = K_t \times I \times \Phi \]

Where:

Explanation: The torque is directly proportional to both the current flowing through the armature and the magnetic flux in the motor.

3. Importance of the Torque Equation

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

4. Using the Calculator

Tips: Enter the torque constant (specific to each motor), armature current, and magnetic flux values. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the torque constant (Kₜ)?
A: It's a motor-specific constant that relates current and flux to torque output, determined by motor design.

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's a typical torque constant value?
A: This varies widely by motor design but is typically in the range of 0.1-10 lb-ft/A·Wb.

Q4: Does this equation apply to AC motors?
A: No, AC motors have different torque equations due to their alternating current nature.

Q5: How can I increase motor torque?
A: Either increase current (up to motor limits) or increase magnetic flux (if motor design allows).

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