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Electrical Current Formulas, Study notes of Electrical Engineering

Electrical Current Formulas and Solved examples step by step Procedure

Typology: Study notes

2020/2021

Available from 11/09/2021

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Electrical Current Formulas
Electrical Current Formulas in DC Circuit
I = V/R
I = P/V
I = √P/R
Electrical Current Formulas in Single Phase AC Circuit
I = P / (V x Cosθ)
I = (V/Z)
Electrical Current Formulas in Three Phase AC Circuit
I = P / √3 x V x Cosθ
Voltage or Electrical Potential Formulas
Electrical Potential or Voltage Formula in DC Circuits
V = I x R
V = P / I
V = √ (P x R)
Voltage or Electrical Potential Formulas in Single Phase AC Circuits
V = P/(I x Cosθ)
V = I x Z
Voltage Formulas in Three Phase AC Circuits
V L= √3 VPHor VL= √3 EPH  …  [Star Connection]
V L= VPH  …  [Delta Connection]
Electric Power Formulas
Power Formulas in DC Circuits
P = V x I
P = I2
x R
P = V2
/R
Power Formulas in Single Phase AC Circuits
P = V x I Cosθ
P = I2
x R Cosθ
P = (V2
/R) Cosθ
Power Formulas in Three Phase AC Circuits
P = √3 x VLx ILCosθ
P = 3 x VPx IPCosθ
Electrical Resistance Formulas
Electrical Resistance & Impedance Formulas in DC Circuits
R = V/I
R = P/I2
R = V2
/P
Electrical Resistance & Impedance Formulas in AC Circuits
In AC Circuits (capacitive or inductive load), Resistance = Impedance i.e., R = Z
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Electrical Current Formulas

Electrical Current Formulas in DC Circuit  I = V/R  I = P/V  I = √P/R Electrical Current Formulas in Single Phase AC Circuit  I = P / (V x Cosθ)  I = (V/Z) Electrical Current Formulas in Three Phase AC Circuit  I = P / √3 x V x Cosθ

Voltage or Electrical Potential Formulas

Electrical Potential or Voltage Formula in DC Circuits  V = I x R  V = P / I  V = √ (P x R) Voltage or Electrical Potential Formulas in Single Phase AC Circuits  V = P/(I x Cosθ)  V = I x Z Voltage Formulas in Three Phase AC Circuits  VL = √3 VPH or VL = √3 EPH … [Star Connection]  VL = VPH … [Delta Connection]

Electric Power Formulas

Power Formulas in DC Circuits  P = V x I  P = I^2 x R  P = V^2 /R Power Formulas in Single Phase AC Circuits  P = V x I Cosθ  P = I^2 x R Cosθ  P = (V^2 /R) Cosθ Power Formulas in Three Phase AC Circuits  P = √3 x VL x IL Cosθ  P = 3 x VP x IP Cosθ

Electrical Resistance Formulas

Electrical Resistance & Impedance Formulas in DC Circuits  R = V/I  R = P/I^2  R = V^2 /P Electrical Resistance & Impedance Formulas in AC Circuits In AC Circuits (capacitive or inductive load), Resistance = Impedance i.e., R = Z

 Z^2 = R^2 + X^2 … In case of resistance and reactance  Z = √(R^2 + XL^2 ) … In case of Inductive load  Z = √(R^2 + XC^2 ) … In case of Capacitive load  Z = √(R^2 + (XL– XC)^2 … In case of both inductive and capacitive loads. Impedance is the resistance of AC circuits i.e. resistive, captative and inductive circuit (already mentioned above). Where “Z” is the impedance in ohms, “R” is resistance in Ohms and “X” is the reactances in Ohms. Good to know:  I = Current in Amperes (A)  V = Voltage in Volts (V)  P = Power in Watts (W)  R = Resistance in Ohm (Ω)  Z = impedance = Resistance of AC Circuits in Ohms  Cosθ = Power factor = Phase difference between voltage and current in AC circuits  VPH = Phase Voltage  VL = Line Voltage Also, XL = Inductive reactance XL = 2π f L…Where L = Inductance in Henry And; XC = Capacitive reactance XC = 1/2π f C… Where C = Capacitance in Farads. Also, ω = 2 π f [/box] The following table shows the current, voltage, power and resistance equations and formulas in DC and 1-Φ & 3-Φ AC circuits. Quantity DC Single Phase AC Three Phase AC Current (I)

 I = V/R

 I = P/V

 I = √P/R

 I = P / (V x Cosθ)  I = (V/Z)  I = P / √3 x V x Cosθ

Where “Q” is the charge in coulombs, “C” is the capacitance in farads and “V” is the voltage in Volts. Frequency: f = 1 / T Time Period T = 1 / f Where “ f ” is frequency in Hertz (Hz) and “T” is the time periods in seconds.