Electric Current

Electric Current Formula
\( I \;=\; \dfrac{ V }{ R }\) (Electric Current) \( V \;=\; I \cdot R \) \( R \;=\; \dfrac{ V }{ I }\)
Symbol	English	Metric
\(\ I \) = Current	\(I\)	\(C \;/\; s\)
\( V \) = Voltage	\(V\)	\(kg-m^2 \;/\; s^3-A\)
\( R \) = Resistance	\(\Omega\)	\(kg-m^2 \;/\; s^3-A^2\)

Electric current, abbreviated as I, is the flow of electric charge in a circuit or a conductor. The current flow is caused by the movement of electrons, which are negatively charged particles, through a conductor such as a wire. The rate of flow of electric charge (current) is typically determined by the voltage (potential difference) applied across the conductor and the resistance of the conductor. The relationship between voltage, current, and resistance is described by Ohm's Law, which states that the current through a conductor is directly proportional to the voltage applied across it and inversely proportional to its resistance.

Electric Current Formula
\( I \;=\; \dfrac{ P }{ V }\) (Electric Current) \( P \;=\; I \cdot V \) \( V \;=\; \dfrac{ P }{ I }\)
Symbol	English	Metric
\( I \) = Current	\(I\)	\(C \;/\; s\)
\( P \) = Power	\(P\)	\(kg-m^2 \;/\; s^3\)
\( V \) = Voltage	\(V\)	\(kg-m^2 \;/\; s^3-A\)

Electric Current Formula
\( I \;=\; \sqrt{ \dfrac{ P }{ R } }\) (Electric Current) \( P \;=\; I^2 \cdot R \) \( R \;=\; \dfrac{ P }{ I^2 }\)
Symbol	English	Metric
\( I \) = Current	\(I\)	\(C \;/\; s\)
\( P \) = Power	\(P\)	\(kg-m^2 \;/\; s^3\)
\( R \) = Resistance	\(\Omega\)	\(kg-m^2 \;/\; s^3-A^2\)

Motor Current Formulas \(V\) = Voltage - \(I\) = Amps - \(PF\) = Power Factor - \(\eta\) = Efficiency - \(P\) = Power
To Find	Direct Current	Alternating Current
		Single Phase	Two Phase Four Wire	Three Phase
Curremt	\(\large{\frac{ P }{ V \; \eta } }\)	\(\large{\frac{ P }{ V \; \eta \; PF } }\)	-	\(\large{\frac{ P }{ 1.732 \; V \; \eta \; PF } }\)

Amps to Horsepower Formula
\( HP \;=\; \dfrac{ I \cdot V \cdot \eta \cdot PF }{ 746 }\) (Amps to Horsepower) \( I \;=\; \dfrac{ HP \cdot 746 }{ V \cdot \eta \cdot PF }\) \( V \;=\; \dfrac{ HP \cdot 746 }{ I \cdot \eta \cdot PF } \) \( \eta \;=\; \dfrac{ HP \cdot 746 }{ I \cdot V \cdot PF }\) \( PF \;=\; \dfrac{ HP \cdot 746 }{ I \cdot V \cdot \eta }\)
Symbol	English	Metric
\( HP \) = Horsepower	\(lbf-ft\;/\;sec\)	\(C\;/\;s\)
\( I \) = Amps	\(I\)	\(kg-m^2\;/\;s^2\)
\( V \) = Voltage	\(V\)	\(kg-m^2 \;/\; s^3-A\)
\( \eta \) (Greek symbol eta) = Efficiency	\(dimensionless\)	\(dimensionless\)
\( PF \) = Power Factor	\(dimensionless\)	\(dimensionless\)

Conversion Formulas

kVA (kilovolt-amps) = 1000 volt-amps

KVA to Amps Formulas

\( I \;=\; \dfrac{ kVA }{ V} \cdot 1000 \) (Single Phase)

\( I \;=\; \dfrac{ kVA \cdot 1000 }{ \sqrt{3} \cdot V }\) (Three Phase - Line to Line)

\( I \;=\; \dfrac{ kVA \cdot 1000 }{ 3 \cdot V }\) (Three Phase - Line to Neutral)

AMPS to KVA Formulas

\( kVA \;=\; \dfrac{ V \cdot I }{ 1000 }\) (Single Phase)

\( kVA \;=\; \sqrt{3} \cdot V \cdot I \) (cdotThree Phase - Line to Line)

\( kVA \;=\; 3 \cdot V \cdot I \) (Three Phase - Line to Neutral)

Kilowatt-hours to Amp-hours Formula

\( Ah \;=\; \dfrac{ kWh \cdot 1000 }{ V }\)

Electric Current