Voltage using Real Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Voltage = Real Power/(Current*cos(Phase Difference))
V = P/(I*cos(Φ))
This formula uses 1 Functions, 4 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Voltage - (Measured in Volt) - Voltage is used to determine the value of the potential difference between terminals where alternating current flows.
Real Power - (Measured in Watt) - The real power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load.
Current - (Measured in Ampere) - Current or AC is an electric current which periodically reverses direction and changes its magnitude continuously with time in contrast to direct current which flows only in one direction.
Phase Difference - (Measured in Radian) - Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.
STEP 1: Convert Input(s) to Base Unit
Real Power: 235 Watt --> 235 Watt No Conversion Required
Current: 2.1 Ampere --> 2.1 Ampere No Conversion Required
Phase Difference: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = P/(I*cos(Φ)) --> 235/(2.1*cos(0.5235987755982))
Evaluating ... ...
V = 129.216488818631
STEP 3: Convert Result to Output's Unit
129.216488818631 Volt --> No Conversion Required
FINAL ANSWER
129.216488818631 129.2165 Volt <-- Voltage
(Calculation completed in 00.004 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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8 Voltage Calculators

Line to Neutral Voltage using Reactive Power
Go Line to Neutral Voltage = Reactive Power/(3*sin(Phase Difference)*Line to Neutral Current)
RMS Voltage using Reactive Power
Go Root Mean Square Voltage = Reactive Power/(Root Mean Square Current*sin(Phase Difference))
Line to Neutral Voltage using Real Power
Go Line to Neutral Voltage = Real Power/(3*cos(Phase Difference)*Line to Neutral Current)
RMS Voltage using Real Power
Go Root Mean Square Voltage = Real Power/(Root Mean Square Current*cos(Phase Difference))
Voltage using Reactive Power
Go Voltage = Reactive Power/(Current*sin(Phase Difference))
Voltage using Real Power
Go Voltage = Real Power/(Current*cos(Phase Difference))
Voltage using Power Factor
Go Voltage = Real Power/(Power Factor*Current)
Voltage using Complex Power
Go Voltage = sqrt(Complex Power*Impedance)

25 AC Circuit Design Calculators

Resistance for Series RLC Circuit given Q Factor
Go Resistance = sqrt(Inductance)/(Series RLC Quality Factor*sqrt(Capacitance))
Line to Neutral Current using Reactive Power
Go Line to Neutral Current = Reactive Power/(3*Line to Neutral Voltage*sin(Phase Difference))
RMS Current using Reactive Power
Go Root Mean Square Current = Reactive Power/(Root Mean Square Voltage*sin(Phase Difference))
Line to Neutral Current using Real Power
Go Line to Neutral Current = Real Power/(3*cos(Phase Difference)*Line to Neutral Voltage)
RMS Current using Real Power
Go Root Mean Square Current = Real Power/(Root Mean Square Voltage*cos(Phase Difference))
Resistance for Parallel RLC Circuit using Q Factor
Go Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance))
Resonant Frequency for RLC circuit
Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
Electric Current using Reactive Power
Go Current = Reactive Power/(Voltage*sin(Phase Difference))
Electric Current using Real Power
Go Current = Real Power/(Voltage*cos(Phase Difference))
Power in Single-Phase AC Circuits
Go Real Power = Voltage*Current*cos(Phase Difference)
Inductance for Parallel RLC Circuit using Q Factor
Go Inductance = (Capacitance*Resistance^2)/(Parallel RLC Quality Factor^2)
Capacitance for Parallel RLC Circuit using Q Factor
Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
Capacitance for Series RLC Circuit given Q Factor
Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)
Inductance for Series RLC Circuit given Q Factor
Go Inductance = Capacitance*Series RLC Quality Factor^2*Resistance^2
Capacitance given Cut off Frequency
Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)
Cut Off Frequency for RC circuit
Go Cut-off Frequency = 1/(2*pi*Capacitance*Resistance)
Complex Power
Go Complex Power = sqrt(Real Power^2+Reactive Power^2)
Complex Power given Power Factor
Go Complex Power = Real Power/cos(Phase Difference)
Current using Power Factor
Go Current = Real Power/(Power Factor*Voltage)
Current using Complex Power
Go Current = sqrt(Complex Power/Impedance)
Frequency using Time Period
Go Natural Frequency = 1/(2*pi*Time Period)
Capacitance using Time Constant
Go Capacitance = Time Constant/Resistance
Resistance using Time Constant
Go Resistance = Time Constant/Capacitance
Impedance given Complex Power and Voltage
Go Impedance = (Voltage^2)/Complex Power
Impedance given Complex Power and Current
Go Impedance = Complex Power/(Current^2)

Voltage using Real Power Formula

Voltage = Real Power/(Current*cos(Phase Difference))
V = P/(I*cos(Φ))

What is the difference between real power and reactive power?

​​Real Power is equal to the Reactive Power i.e. there is no VAr in DC Circuits. Only Real Power exists. There is no Reactive Power in DC circuits due to the zero phase angle (Φ) between current and voltage. Real power is important to produce heat and utilize the electric and magnetic field generated by Reactive Power.

How to Calculate Voltage using Real Power?

Voltage using Real Power calculator uses Voltage = Real Power/(Current*cos(Phase Difference)) to calculate the Voltage, Voltage using Real Power is the difference in electric potential between two points, which (in a static electric field) is defined as the work needed per unit of charge to move a test charge between the two points. Voltage is denoted by V symbol.

How to calculate Voltage using Real Power using this online calculator? To use this online calculator for Voltage using Real Power, enter Real Power (P), Current (I) & Phase Difference (Φ) and hit the calculate button. Here is how the Voltage using Real Power calculation can be explained with given input values -> 129.2165 = 235/(2.1*cos(0.5235987755982)).

FAQ

What is Voltage using Real Power?
Voltage using Real Power is the difference in electric potential between two points, which (in a static electric field) is defined as the work needed per unit of charge to move a test charge between the two points and is represented as V = P/(I*cos(Φ)) or Voltage = Real Power/(Current*cos(Phase Difference)). The real power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load, Current or AC is an electric current which periodically reverses direction and changes its magnitude continuously with time in contrast to direct current which flows only in one direction & Phase Difference is defined as the difference between the phasor of apparent and real power (in degrees) or between voltage and current in an ac circuit.
How to calculate Voltage using Real Power?
Voltage using Real Power is the difference in electric potential between two points, which (in a static electric field) is defined as the work needed per unit of charge to move a test charge between the two points is calculated using Voltage = Real Power/(Current*cos(Phase Difference)). To calculate Voltage using Real Power, you need Real Power (P), Current (I) & Phase Difference (Φ). With our tool, you need to enter the respective value for Real Power, Current & Phase Difference and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Voltage?
In this formula, Voltage uses Real Power, Current & Phase Difference. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Voltage = Reactive Power/(Current*sin(Phase Difference))
  • Voltage = sqrt(Complex Power*Impedance)
  • Voltage = Real Power/(Power Factor*Current)
  • Voltage = sqrt(Complex Power*Impedance)
  • Voltage = Real Power/(Power Factor*Current)
  • Voltage = Reactive Power/(Current*sin(Phase Difference))
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