Deflection Angle for AC operation in Electrodynamometer Calculator

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Electrodynamometer Type Induction Type Moving Iron Type Permanent Magnet Moving Coil (PMMC)

✖RMS Current 1 in 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 in Electrodynamometer [I_rms1]			+10% -10%
✖RMS Current 2 in 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 in Electrodynamometer [I_rms2]			+10% -10%
✖Spring Constant in Electrodynamometer measures the stiffness of a spring, indicating how much force is needed to stretch or compress it.ⓘ Spring Constant in Electrodynamometer [K_e]			+10% -10%
✖Phase Angle in Electrodynamometer measures the relative timing between two periodic waveforms, indicating the time difference between corresponding points of the waves.ⓘ Phase Angle in 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%

✖Deflection Angle AC Electrodynamometer shows the current or power level, caused by the interaction between magnetic fields of fixed and moving coils, increasing with current.ⓘ Deflection Angle for AC operation in Electrodynamometer [θ_ac]

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Deflection Angle for AC operation in Electrodynamometer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection Angle AC Electrodynamometer = ((RMS Current 1 in Electrodynamometer*RMS Current 2 in Electrodynamometer)/Spring Constant in Electrodynamometer)*cos(Phase Angle in Electrodynamometer)*Mutual Inductance with Angle
θ_ac = ((I_rms1*I_rms2)/K_e)*cos(ϕ)*dM|dθ
This formula uses 1 Functions, 6 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

Deflection Angle AC Electrodynamometer - (Measured in Radian) - Deflection Angle AC Electrodynamometer shows the current or power level, caused by the interaction between magnetic fields of fixed and moving coils, increasing with current.
RMS Current 1 in Electrodynamometer - (Measured in Ampere) - RMS Current 1 in 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 in Electrodynamometer - (Measured in Ampere) - RMS Current 2 in 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.
Spring Constant in Electrodynamometer - (Measured in Newton Meter per Radian) - Spring Constant in Electrodynamometer measures the stiffness of a spring, indicating how much force is needed to stretch or compress it.
Phase Angle in Electrodynamometer - (Measured in Radian) - Phase Angle in 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 in Electrodynamometer: 0.75 Ampere --> 0.75 Ampere No Conversion Required
RMS Current 2 in Electrodynamometer: 1.25 Ampere --> 1.25 Ampere No Conversion Required
Spring Constant in Electrodynamometer: 3.4 Newton Meter per Radian --> 3.4 Newton Meter per Radian No Conversion Required
Phase Angle in 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

θ_ac = ((I_rms1*I_rms2)/K_e)*cos(ϕ)*dM|dθ --> ((0.75*1.25)/3.4)*cos(0.39)*4

Evaluating ... ...

θ_ac = 1.02012028660733

STEP 3: Convert Result to Output's Unit

1.02012028660733 Radian --> No Conversion Required

FINAL ANSWER

1.02012028660733 ≈ 1.02012 Radian <-- Deflection Angle AC Electrodynamometer

(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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Shiv Nadar University (SNU), Greater Noida

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< Electrodynamometer Type Calculators

Deflection Angle for AC operation in Electrodynamometer

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

Deflecting Torque for AC operation in Electrodynamometer

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

Deflection Angle for DC operation in Electrodynamometer

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

Deflecting Torque for DC operation in Electrodynamometer

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

Deflection Angle for AC operation in Electrodynamometer Formula

LaTeX Go

How to calculate the deflecting angle?

Mechanical work done by the instrument is directly proportional to the change in the angle. The deflecting angle 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 spring constant.

How to Calculate Deflection Angle for AC operation in Electrodynamometer?

Deflection Angle for AC operation in Electrodynamometer calculator uses Deflection Angle AC Electrodynamometer = ((RMS Current 1 in Electrodynamometer*RMS Current 2 in Electrodynamometer)/Spring Constant in Electrodynamometer)*cos(Phase Angle in Electrodynamometer)*Mutual Inductance with Angle to calculate the Deflection Angle AC Electrodynamometer, The Deflection Angle for AC operation in Electrodynamometer formula refers to he deflection angle which is a measure of the angular displacement of the moving coil due to the deflecting torque generated by the interaction of magnetic fields from the fixed and moving coils. Deflection Angle AC Electrodynamometer is denoted by θ_ac symbol.

How to calculate Deflection Angle for AC operation in Electrodynamometer using this online calculator? To use this online calculator for Deflection Angle for AC operation in Electrodynamometer, enter RMS Current 1 in Electrodynamometer (I_rms1), RMS Current 2 in Electrodynamometer (I_rms2), Spring Constant in Electrodynamometer (K_e), Phase Angle in Electrodynamometer (ϕ) & Mutual Inductance with Angle (dM|dθ) and hit the calculate button. Here is how the Deflection Angle for AC operation in Electrodynamometer calculation can be explained with given input values -> 0.693682 = ((0.75*1.25)/3.4)*cos(0.39)*4.

FAQ

What is Deflection Angle for AC operation in Electrodynamometer?

The Deflection Angle for AC operation in Electrodynamometer formula refers to he deflection angle which is a measure of the angular displacement of the moving coil due to the deflecting torque generated by the interaction of magnetic fields from the fixed and moving coils and is represented as θ_ac = ((I_rms1*I_rms2)/K_e)*cos(ϕ)*dM|dθ or Deflection Angle AC Electrodynamometer = ((RMS Current 1 in Electrodynamometer*RMS Current 2 in Electrodynamometer)/Spring Constant in Electrodynamometer)*cos(Phase Angle in Electrodynamometer)*Mutual Inductance with Angle. RMS Current 1 in 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 in 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, Spring Constant in Electrodynamometer measures the stiffness of a spring, indicating how much force is needed to stretch or compress it, Phase Angle in 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 Deflection Angle for AC operation in Electrodynamometer?

The Deflection Angle for AC operation in Electrodynamometer formula refers to he deflection angle which is a measure of the angular displacement of the moving coil due to the deflecting torque generated by the interaction of magnetic fields from the fixed and moving coils is calculated using Deflection Angle AC Electrodynamometer = ((RMS Current 1 in Electrodynamometer*RMS Current 2 in Electrodynamometer)/Spring Constant in Electrodynamometer)*cos(Phase Angle in Electrodynamometer)*Mutual Inductance with Angle. To calculate Deflection Angle for AC operation in Electrodynamometer, you need RMS Current 1 in Electrodynamometer (I_rms1), RMS Current 2 in Electrodynamometer (I_rms2), Spring Constant in Electrodynamometer (K_e), Phase Angle in Electrodynamometer (ϕ) & Mutual Inductance with Angle (dM|dθ). With our tool, you need to enter the respective value for RMS Current 1 in Electrodynamometer, RMS Current 2 in Electrodynamometer, Spring Constant in Electrodynamometer, Phase Angle in 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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