Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

This is an AMP page - Open full page! for all features.

• the most efficient way to navigate the Engineering ToolBox!

# Single Phase Power Equations

Single phase power equations:

### Real Power

Wapplied = U I PF / 1000                             (1)

where

Wapplied = real power (kilowatts, kW)

U = voltage (volts, V)

I = current (amps, A)

PF = power factor - 0.7 - 1

### Total Power

W = U I / 1000                                     (2)

### Brake Horsepower

• Brake horsepower is the actual power delivered to or by a shaft.

WBHP = U I PF μ / 746                          (3)

where

WBHP = brake horsepower (hp)

μ = device efficiency

#### Example - Horsepower vs. Current and Voltage

An AC motor consumes 8 amps of current. The voltage supplied is 12 V, the efficiency of the system is 96% (0.96) and the power factor is 1. The horsepower can then be calculated as

WBHP = (12 V) (8 A) (1) (0.97) / 746

= 0.125 HP

≈ 1/8 HP

## Related Topics

### • Electrical

Electrical units, amps and electrical wiring, wire gauge and AWG, electrical formulas and motors.

## Related Documents

### AC - Active, Reactive and Apparent Power

Real, imaginary and apparent power in AC circuits.

### Aluminum Conductor Characteristics

Characteristics of all-aluminum conductors (AAC).

### Electric Current vs. Power - Single and Three Phase AC

Convert between single phase (120, 240 and 480 Voltage) and three phase (240 and 480 Voltage).

### Electric Motor Calculator

Calculate amps, hp and kVA for electrical motors.

### Electric Motors - Efficiency

Calculate electric motor efficiency.

### Electrical Formulas

Commonly used electrical formulas like Ohms Law and more.

### Electrical Motors - Shaft Power vs. Voltage and Current

Calculate electric motors shaft power.

### Electrical Vehicle Charging - Power vs. Voltage and Amps

EV Charging - AC vs. DC, single phase vs. three phase and power vs. voltage and amps.

### Power

Power is the rate at which work is done or energy converted.

### Power Wiring - Color Codes

Color codes used in power wiring.

### Three-Phase Electrical Motors - Power vs. Amps and Voltage

Full load amps, wire and conduit sizes for three phase electrical motors.

### Three-Phase Electrtical Motors - Power Factor vs. Inductive Load

Inductive loads and power factors with electrical three-phase motors.

### Three-Phase Power Equations

Electrical 3-phase equations.

## Search Engineering ToolBox

• the most efficient way to navigate the Engineering ToolBox!

## SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!