Formulas

There's almost nothing as annoying as not having those important electrical formulas when you need them. As a service to you, below are some of the more common electrical formulas. Feel free to print this page out for your convenience.

TO FIND

SINGLE-PHASE

THREE-PHASE

DIRECT CURRENT
Kilowatts

I x E x PF
1000

I x E x 1.732 x PF
1000

  I x E  
1000
KVA

I x E
1000

I x E x 1.732
1000

---------------
Horsepower (Output)

I x E x %EFF x PF
746

I x E x 1.732 x %EFF x PF
746

I x E x %EFF
746
Amperes when Horsepower is known

      HP x 746      
E x %EFF x PF

           HP x 746           
1.732 x E x %EFF x PF

  HP x 746  
E x %EFF
Amperes when Kilowatts is known

  KW x 1000  
E x PF

    KW x 1000    
1.732 x E x PF

  KW x 1000  
E
Amperes when KVA is known

KVA x 1000
E

KVA x 1000
1.732 x E

---------------

E = Volts I = Amperes %EFF = Percent Efficiency PF = Power Factor


OTHER USEFUL FORMULAS

  • BTUs x 777.5 = foot pounds
  • BTUs x 3.93 ÷ 10,000 = horsepower hours
  • BTUs x 2.93 ÷ 10,000 = Kilowatt hours
  • BTUs per minute x 13.0 = foot pounds per second
  • BTUs per minute x 1.76 ÷ 100 = Kilowatts
  • BTUs per hour x 2.93 ÷ 10,000 = Kilowatts
  • BTUs per hour x 2.98 ÷ 1,000,000 = Boiler horsepower
  • (Celsius x 9 ÷ 5) + 32 = Fahrenheit
  • Circular mils x 0.7854 = Square mils
  • (Fahrenheit - 32) x 5 ÷ 9 = Celsius
  • Foot pounds x 2.29 ÷ 1,000 = BTUs
  • Foot pounds x 5.05 ÷ 10,000,000 = Horsepower hours
  • Foot pounds x 3.77 ÷ 10,000,000 = Kilowatt hours
  • Foot pounds per minute x 1.29 ÷ 1,000 = BTUs per minute
  • Foot pounds per minute x 3.03 ÷ 100,000 = Horsepower
  • Foot pounds per second x 1.82 ÷ 1,000 = Horsepower
  • Horsepower x 42.4 = BTUs per minute
  • Horsepower x 33,000 = Foot pounds per minute
  • Horsepower x 550 = Foot pounds per second
  • Horsepower x 0.746 = Kilowatts
  • Horsepower boiler x 33520 = BTUs per hour
  • Horsepower boiler x 9.80 = Kilowatts
  • Horsepower hours x 2550 = BTUs
  • Horsepower hours x 1,980,000 = Foot pounds
  • Kilowatts x 56.9 = BTUs per minute
  • Kilowatts x 3412 = BTUs per hour
  • Kilowatts x 1.341 = Horsepower
  • Kilowatt hours x 3412 = BTUs
  • Kilowatt hours x 1.34 = Horsepower hours
  • Square inch x 1,273,239.545 = Circular mils



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