Deflecting Torque for AC operation in Electrodynamometer Calculator

✖RMS Current 1 Electrodynamometer is the effective value of alternating current (AC), representing the equivalent direct current that delivers the same power to a coil 1 in electrodynamometer.ⓘ RMS Current 1 Electrodynamometer [I_rms1]			+10% -10%
✖RMS Current 2 Electrodynamometer is the effective value of alternating current (AC), representing the equivalent direct current that delivers the same power to a coil 2 in electrodynamometer.ⓘ RMS Current 2 Electrodynamometer [I_rms2]			+10% -10%
✖Phase Angle Electrodynamometer measures the relative timing between two periodic waveforms, indicating the time difference between corresponding points of the waves.ⓘ Phase Angle Electrodynamometer [ϕ]			+10% -10%
✖Mutual Inductance with Angle refers to how the interaction between coils varies as the angle alters, influencing sensitivity and torque measurement accuracy.ⓘ Mutual Inductance with Angle [dM\|dθ]			+10% -10%

✖AC Operation Torque is a measure of the rotational force applied to an object. It causes objects to rotate around an axis, following the principles of rotational motion.ⓘ Deflecting Torque for AC operation in Electrodynamometer [T_ac]

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Formula

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Deflecting Torque for AC operation in Electrodynamometer

Formula

`"T"_{"ac"} = "I"_{"rms1"}*"I"_{"rms2"}*cos("ϕ")*"dM|dθ"`

Example

`"3.468409N*m"="0.75A"*"1.25A"*cos("0.39rad")*"4H/rad"`

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Deflecting Torque for AC operation in Electrodynamometer Solution

STEP 0: Pre-Calculation Summary

Formula Used

AC Operation Torque = RMS Current 1 Electrodynamometer*RMS Current 2 Electrodynamometer*cos(Phase Angle Electrodynamometer)*Mutual Inductance with Angle
T_ac = I_rms1*I_rms2*cos(ϕ)*dM|dθ
This formula uses 1 Functions, 5 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

AC Operation Torque - (Measured in Newton Meter) - AC Operation Torque is a measure of the rotational force applied to an object. It causes objects to rotate around an axis, following the principles of rotational motion.
RMS Current 1 Electrodynamometer - (Measured in Ampere) - RMS Current 1 Electrodynamometer is the effective value of alternating current (AC), representing the equivalent direct current that delivers the same power to a coil 1 in electrodynamometer.
RMS Current 2 Electrodynamometer - (Measured in Ampere) - RMS Current 2 Electrodynamometer is the effective value of alternating current (AC), representing the equivalent direct current that delivers the same power to a coil 2 in electrodynamometer.
Phase Angle Electrodynamometer - (Measured in Radian) - Phase Angle Electrodynamometer measures the relative timing between two periodic waveforms, indicating the time difference between corresponding points of the waves.
Mutual Inductance with Angle - (Measured in Henry Per Radian) - Mutual Inductance with Angle refers to how the interaction between coils varies as the angle alters, influencing sensitivity and torque measurement accuracy.

STEP 1: Convert Input(s) to Base Unit

RMS Current 1 Electrodynamometer: 0.75 Ampere --> 0.75 Ampere No Conversion Required
RMS Current 2 Electrodynamometer: 1.25 Ampere --> 1.25 Ampere No Conversion Required
Phase Angle Electrodynamometer: 0.39 Radian --> 0.39 Radian No Conversion Required
Mutual Inductance with Angle: 4 Henry Per Radian --> 4 Henry Per Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_ac = I_rms1*I_rms2*cos(ϕ)*dM|dθ --> 0.75*1.25*cos(0.39)*4

Evaluating ... ...

T_ac = 3.46840897446492

STEP 3: Convert Result to Output's Unit

3.46840897446492 Newton Meter --> No Conversion Required

FINAL ANSWER

3.46840897446492 ≈ 3.468409 Newton Meter <-- AC Operation Torque

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics and Instrumentation » Electrical Instrumentation » Electrodynamometer Type » Deflecting Torque for AC operation in Electrodynamometer

Credits

Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Calculator and 100+ more calculators!

Verified by Devyaani Garg

Shiv Nadar University (SNU), Greater Noida

Devyaani Garg has verified this Calculator and 25+ more calculators!

< 4 Electrodynamometer Type Calculators

Deflection Angle for AC operation in Electrodynamometer

Go Deflection Angle AC Electrodynamometer = ((RMS Current 1 Electrodynamometer*RMS Current 2 Electrodynamometer)/Spring Constant Electrodynamometer)*cos(Phase Angle Electrodynamometer)*Mutual Inductance with Angle

Deflecting Torque for AC operation in Electrodynamometer

Go AC Operation Torque = RMS Current 1 Electrodynamometer*RMS Current 2 Electrodynamometer*cos(Phase Angle Electrodynamometer)*Mutual Inductance with Angle

Deflection Angle for DC operation in Electrodynamometer

Go Deflection Angle DC Electrodynamometer = ((Direct Current 1 Electrodynamometer*Direct Current 2 Electrodynamometer)/Spring Constant Electrodynamometer)*Mutual Inductance with Angle

Deflecting Torque for DC operation in Electrodynamometer

Go DC Operation Torque = Direct Current 1 Electrodynamometer*Direct Current 2 Electrodynamometer*Mutual Inductance with Angle

Deflecting Torque for AC operation in Electrodynamometer Formula

AC Operation Torque = RMS Current 1 Electrodynamometer*RMS Current 2 Electrodynamometer*cos(Phase Angle Electrodynamometer)*Mutual Inductance with Angle
T_ac = I_rms1*I_rms2*cos(ϕ)*dM|dθ

What is done in deflecting torque calculation?

Mechanical work done by the instrument is directly proportional to the deflecting torque. The deflecting torque is a function of the product of the instantaneous current flowing through both coils, fixed and moving, and the power factor of the instrument. It is inversely proportional to the change in the deflecting angle

How to Calculate Deflecting Torque for AC operation in Electrodynamometer?

Deflecting Torque for AC operation in Electrodynamometer calculator uses AC Operation Torque = RMS Current 1 Electrodynamometer*RMS Current 2 Electrodynamometer*cos(Phase Angle Electrodynamometer)*Mutual Inductance with Angle to calculate the AC Operation Torque, Deflecting Torque for AC operation in Electrodynamometer formula refers to the deflecting torque which is generated by the interaction between the magnetic fields of the fixed and moving coils. This torque is proportional to the product of the currents in these coils and the cosine of the phase angle between them, effectively measuring the average power in the circuit. AC Operation Torque is denoted by T_ac symbol.

How to calculate Deflecting Torque for AC operation in Electrodynamometer using this online calculator? To use this online calculator for Deflecting Torque for AC operation in Electrodynamometer, enter RMS Current 1 Electrodynamometer (I_rms1), RMS Current 2 Electrodynamometer (I_rms2), Phase Angle Electrodynamometer (ϕ) & Mutual Inductance with Angle (dM|dθ) and hit the calculate button. Here is how the Deflecting Torque for AC operation in Electrodynamometer calculation can be explained with given input values -> 3.468409 = 0.75*1.25*cos(0.39)*4.

FAQ

What is Deflecting Torque for AC operation in Electrodynamometer?

Deflecting Torque for AC operation in Electrodynamometer formula refers to the deflecting torque which is generated by the interaction between the magnetic fields of the fixed and moving coils. This torque is proportional to the product of the currents in these coils and the cosine of the phase angle between them, effectively measuring the average power in the circuit and is represented as T_ac = I_rms1*I_rms2*cos(ϕ)*dM|dθ or AC Operation Torque = RMS Current 1 Electrodynamometer*RMS Current 2 Electrodynamometer*cos(Phase Angle Electrodynamometer)*Mutual Inductance with Angle. RMS Current 1 Electrodynamometer is the effective value of alternating current (AC), representing the equivalent direct current that delivers the same power to a coil 1 in electrodynamometer, RMS Current 2 Electrodynamometer is the effective value of alternating current (AC), representing the equivalent direct current that delivers the same power to a coil 2 in electrodynamometer, Phase Angle Electrodynamometer measures the relative timing between two periodic waveforms, indicating the time difference between corresponding points of the waves & Mutual Inductance with Angle refers to how the interaction between coils varies as the angle alters, influencing sensitivity and torque measurement accuracy.

How to calculate Deflecting Torque for AC operation in Electrodynamometer?

Deflecting Torque for AC operation in Electrodynamometer formula refers to the deflecting torque which is generated by the interaction between the magnetic fields of the fixed and moving coils. This torque is proportional to the product of the currents in these coils and the cosine of the phase angle between them, effectively measuring the average power in the circuit is calculated using AC Operation Torque = RMS Current 1 Electrodynamometer*RMS Current 2 Electrodynamometer*cos(Phase Angle Electrodynamometer)*Mutual Inductance with Angle. To calculate Deflecting Torque for AC operation in Electrodynamometer, you need RMS Current 1 Electrodynamometer (I_rms1), RMS Current 2 Electrodynamometer (I_rms2), Phase Angle Electrodynamometer (ϕ) & Mutual Inductance with Angle (dM|dθ). With our tool, you need to enter the respective value for RMS Current 1 Electrodynamometer, RMS Current 2 Electrodynamometer, Phase Angle Electrodynamometer & Mutual Inductance with 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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