Common electrical units used in formulas and equations are:
- Volt- unit of electrical potential or motive force - potential is required
to send one ampere of current through one ohm of resistance
- Ohm - unit of resistance - one ohm is the resistance offered to the passage of one ampere when impelled by one volt
- Ampere - units of current - one ampere is the current which one volt can send through a resistance of one ohm
- Watt - unit of electrical energy or power - one watt is the
product of one ampere and one volt - one ampere of current flowing under
the force of one volt gives one watt of energy
- Volt Ampere - product of volts and amperes as shown by a
voltmeter and ammeter - in direct current systems the volt ampere is the
same as watts or the energy delivered - in alternating current systems -
the volts and amperes may or may not be 100% synchronous - when
synchronous the volt amperes equals the watts on a wattmeter - when not
synchronous volt amperes exceed watts -reactive power
- Kilovolt Ampere - one kilovolt ampere - KVA - is equal to 1,000 volt amperes
- Power Factor - ratio of watts to volt amperes
Electric Power Formulas
P = V I (1a)
P = R I2 (1b)
P = V2/ R (1c)
where
P = power (Watts)
V = voltage(Volts)
I = current (Amperes)
R = resistance (Ohms)
Electric Current Formulas
I = V / R (2a)
I = P / V (2b)
I = (P / R)1/2 (2c)
Electric Resistance Formulas
R = V / I (3a)
R = V2/ P (3b)
R = P / I2 (3c)
Electrical Potential Formulas - Ohms Law
Ohms law can be expressed as:
V = R I (4a)
V = P / I (4b)
V = (P R)1/2 (4c)
Example - Ohm's law
A 12 volt battery supplies power to a resistance of 18 ohms.
I = 12 (Volts) / 18 (ohms)
= 0.67 (Ampere)
Electrical Motor Formulas
Electrical Motor Efficiency
? = 746 Php / Pinput_w (5)
where
? = efficiency
Php = output horsepower (hp)
Pinput_w = input electrical power (Watts)
or alternatively
? = 746 Php / (1.732 V I PF) (5b)
Electrical Motor - Power
P3-phase = (V I PF 1.732) / 1,000 (6)
where
P3-phase = electrical power 3-phase motor (kW)
PF = power factor electrical motor
Electrical Motor - Amps
I3-phase = (746 Php) / (1.732 V ? PF) (7)
where
I3-phase = electrical current 3-phase motor (Amps)
PF = power factor electrical motor