Electrical Angle Calculator

✖Number of Poles is defined as the total number of poles present in any electrical machine.ⓘ Number of Poles [N_p]			+10% -10%
✖Mechanical Angle is the angle of physical or mechanical rotation a single conductor in an alternator.ⓘ Mechanical Angle [θ_m]			+10% -10%

✖Electrical Angle the angle or the cycle of emf induced in a single conductor in an alternator.ⓘ Electrical Angle [θ_e]

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Formula

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Electrical Angle

Formula

`"θ"_{"e"} = ("N"_{"p"}/2)*"θ"_{"m"}`

Example

`"160°"=("4"/2)*"80°"`

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Electrical Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electrical Angle = (Number of Poles/2)*Mechanical Angle
θ_e = (N_p/2)*θ_m
This formula uses 3 Variables

Variables Used

Electrical Angle - (Measured in Radian) - Electrical Angle the angle or the cycle of emf induced in a single conductor in an alternator.
Number of Poles - Number of Poles is defined as the total number of poles present in any electrical machine.
Mechanical Angle - (Measured in Radian) - Mechanical Angle is the angle of physical or mechanical rotation a single conductor in an alternator.

STEP 1: Convert Input(s) to Base Unit

Number of Poles: 4 --> No Conversion Required
Mechanical Angle: 80 Degree --> 1.3962634015952 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_e = (N_p/2)*θ_m --> (4/2)*1.3962634015952

Evaluating ... ...

θ_e = 2.7925268031904

STEP 3: Convert Result to Output's Unit

2.7925268031904 Radian -->160 Degree (Check conversion here)

FINAL ANSWER

160 Degree <-- Electrical Angle

(Calculation completed in 00.004 seconds)

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Credits

Created by Vishal maurya

M.J.P Rohilkhand University Bareilly (MJPRU), Bareilly

Vishal maurya has created this Calculator and 2 more calculators!

Verified by Jaffer Ahmad Khan

College Of Engineering, Pune (COEP), Pune

Jaffer Ahmad Khan has verified this Calculator and 2 more calculators!

< 3 Time Constant Calculators

Electrical Angle

Go Electrical Angle = (Number of Poles/2)*Mechanical Angle

Time Constant for RC Circuit

Go Time Constant = Resistance*Capacitance

Time Constant for RL Circuit

Go Time Constant = Inductance/Resistance

< 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)

Electrical Angle Formula

Electrical Angle = (Number of Poles/2)*Mechanical Angle
θ_e = (N_p/2)*θ_m

What is the relation between electrical angle & mechanical angle?

The relation between electrical and mechanical angle is as follows:

Electrical angle =P\2 (mechanical angle).

How to Calculate Electrical Angle?

Electrical Angle calculator uses Electrical Angle = (Number of Poles/2)*Mechanical Angle to calculate the Electrical Angle, Electrical angle =P\2 (mechanical angle).The mechanical angle is angle of rotor shaft vs stator, while the electrical angle is the angle between poles (rotor vs stator). If you have one pole pair only, then electric = mechanical. Electrical Angle is denoted by θ_e symbol.

How to calculate Electrical Angle using this online calculator? To use this online calculator for Electrical Angle, enter Number of Poles (N_p) & Mechanical Angle (θ_m) and hit the calculate button. Here is how the Electrical Angle calculation can be explained with given input values -> 9167.325 = (4/2)*1.3962634015952.

FAQ

What is Electrical Angle?

Electrical angle =P\2 (mechanical angle).The mechanical angle is angle of rotor shaft vs stator, while the electrical angle is the angle between poles (rotor vs stator). If you have one pole pair only, then electric = mechanical and is represented as θ_e = (N_p/2)*θ_m or Electrical Angle = (Number of Poles/2)*Mechanical Angle. Number of Poles is defined as the total number of poles present in any electrical machine & Mechanical Angle is the angle of physical or mechanical rotation a single conductor in an alternator.

How to calculate Electrical Angle?

Electrical angle =P\2 (mechanical angle).The mechanical angle is angle of rotor shaft vs stator, while the electrical angle is the angle between poles (rotor vs stator). If you have one pole pair only, then electric = mechanical is calculated using Electrical Angle = (Number of Poles/2)*Mechanical Angle. To calculate Electrical Angle, you need Number of Poles (N_p) & Mechanical Angle (θ_m). With our tool, you need to enter the respective value for Number of Poles & Mechanical Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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