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Motors and Motor Circuits Calculator

Motor Current Formula:

\[ I = \frac{P}{\sqrt{3} \times V \times PF \times \eta} \]

watts
volts
(0-1)
(0-1)

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1. What is the Motor Current Formula?

The motor current formula calculates the current drawn by a three-phase motor given its power rating, operating voltage, power factor, and efficiency. This is essential for proper circuit design and protection.

2. How Does the Calculator Work?

The calculator uses the motor current formula:

\[ I = \frac{P}{\sqrt{3} \times V \times PF \times \eta} \]

Where:

Explanation: The formula accounts for three-phase power (√3 factor) and the motor's power factor and efficiency which affect the actual current draw.

3. Importance of Current Calculation

Details: Accurate current calculation is crucial for selecting proper wire sizes, circuit breakers, overload protection, and ensuring safe operation of motor circuits.

4. Using the Calculator

Tips: Enter power in watts, voltage in volts, power factor (typically 0.8-0.95 for motors), and efficiency (typically 0.85-0.95). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical power factor for motors?
A: Induction motors typically have power factors between 0.8-0.9 at full load, lower at partial loads.

Q2: How does voltage affect current?
A: Current is inversely proportional to voltage - doubling the voltage halves the current for the same power.

Q3: What if I have horsepower instead of watts?
A: Convert horsepower to watts by multiplying by 746 (1 HP = 746 watts).

Q4: Why include efficiency in the calculation?
A: Efficiency accounts for power losses in the motor - a less efficient motor draws more current for the same output power.

Q5: Is this formula for single-phase or three-phase?
A: This is for three-phase motors. For single-phase, remove the √3 factor from the denominator.

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