DC Series Motor Formula

Torque Formula:

\[ T = K_t \times I^2 \times \Phi \]

Torque (T):

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1. What is the DC Series Motor Torque Formula?

Definition: This formula calculates the torque produced by a DC series motor based on the torque constant, current squared, and magnetic flux.

Purpose: It helps electrical engineers and motor designers understand and predict the torque characteristics of DC series motors.

2. How Does the Formula Work?

The formula is:

\[ T = K_t \times I^2 \times \Phi \]

Where:

\( T \) — Torque (lb-ft)
\( K_t \) — Torque constant (lb-ft/A·Wb)
\( I \) — Current (amps)
\( \Phi \) — Magnetic flux (Weber)

Explanation: In a series motor, torque is proportional to the square of the current because both armature and field current are the same.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for motor selection, performance prediction, and system design in applications like electric vehicles and industrial machinery.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why is current squared in the formula?
A: Because in series motors, the same current flows through both armature and field windings, making torque proportional to I².

Q2: How do I find the torque constant (K_t)?
A: It's typically provided in motor specifications or can be determined experimentally.

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

Q4: Does this formula work for other DC motor types?
A: No, this specific form is for series motors. Shunt motors have a different torque-current relationship.

Q5: What are typical units for these parameters?
A: Torque in lb-ft, K_t in lb-ft/A·Wb, current in amps, and flux in Webers (Wb).