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Armature Torque of DC Motor Formula

Armature Torque Formula:

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

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amps
Wb
lb-ft

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1. What is Armature Torque in a DC Motor?

Definition: Armature torque is the rotational force produced by the interaction between the armature current and the magnetic field in a DC motor.

Purpose: This calculation helps engineers design and analyze DC motor performance, ensuring proper torque output for mechanical loads.

2. How Does the Formula Work?

The formula used is:

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

Where:

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

3. Importance of Armature Torque Calculation

Details: Proper torque calculation ensures the motor can handle the mechanical load, prevents overheating, and helps in selecting appropriate motor specifications.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

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

Q2: How does armature current affect torque?
A: Torque increases linearly with current - doubling the current doubles the torque (assuming constant flux).

Q3: What factors influence magnetic flux (Φ)?
A: Flux depends on field current, number of turns in field winding, and core material properties.

Q4: Can this formula be used for AC motors?
A: No, this applies only to DC motors. AC motor torque calculation is more complex due to alternating current.

Q5: How does temperature affect torque?
A: Higher temperatures can increase resistance (reducing current) and affect magnetic properties, potentially decreasing torque.

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