Deflection Angle of ED Instrument (AC Operation) 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%
✖Spring Constant Electrodynamometer measures the stiffness of a spring, indicating how much force is needed to stretch or compress it.ⓘ Spring Constant Electrodynamometer [K_e]			+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 Electrodynamometer refers to how the interaction between coils varies as the angle alters, influencing sensitivity and torque measurement accuracy.ⓘ Mutual Inductance with Angle Electrodynamometer [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 of ED Instrument (AC Operation) [θ_ac]

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Formula

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Deflection Angle of ED Instrument (AC Operation)

Formula

`"θ"_{"ac"} = (("I"_{"rms1"}*"I"_{"rms2"})/"K"_{"e"})*cos("ϕ")*"dM|dθ"`

Example

`"0.693682rad"=(("0.75A"*"1.25A")/"5Nm/rad")*cos("0.39rad")*"4H/rad"`

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Deflection Angle of ED Instrument (AC Operation) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection Angle AC Electrodynamometer = ((RMS Current 1 Electrodynamometer*RMS Current 2 Electrodynamometer)/Spring Constant Electrodynamometer)*cos(Phase Angle Electrodynamometer)*Mutual Inductance with Angle Electrodynamometer
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 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.
Spring Constant Electrodynamometer - (Measured in Newton Meter per Radian) - Spring Constant Electrodynamometer measures the stiffness of a spring, indicating how much force is needed to stretch or compress it.
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 Electrodynamometer - (Measured in Henry Per Radian) - Mutual Inductance with Angle Electrodynamometer 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
Spring Constant Electrodynamometer: 5 Newton Meter per Radian --> 5 Newton Meter per Radian No Conversion Required
Phase Angle Electrodynamometer: 0.39 Radian --> 0.39 Radian No Conversion Required
Mutual Inductance with Angle Electrodynamometer: 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)/5)*cos(0.39)*4

Evaluating ... ...

θ_ac = 0.693681794892985

STEP 3: Convert Result to Output's Unit

0.693681794892985 Radian --> No Conversion Required

FINAL ANSWER

0.693681794892985 ≈ 0.693682 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

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

Verified by Devyaani Garg

Shiv Nadar University (SNU), Greater Noida

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< 4 Electrodynamometer Type Calculators

Deflection Angle of ED Instrument (AC Operation)

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

Deflecting Torque of ED Instrument (AC Operation)

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

Deflection Angle of ED Instrument (DC Operation)

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

Deflecting Torque of ED Instrument (DC Operation)

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

Deflection Angle of ED Instrument (AC Operation) Formula

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 of ED Instrument (AC Operation)?

Deflection Angle of ED Instrument (AC Operation) calculator uses Deflection Angle AC Electrodynamometer = ((RMS Current 1 Electrodynamometer*RMS Current 2 Electrodynamometer)/Spring Constant Electrodynamometer)*cos(Phase Angle Electrodynamometer)*Mutual Inductance with Angle Electrodynamometer to calculate the Deflection Angle AC Electrodynamometer, The Deflection Angle of ED Instrument (AC Operation) gives the angle by which the pointer deflects so that both torques are balanced. Deflection Angle AC Electrodynamometer is denoted by θ_ac symbol.

How to calculate Deflection Angle of ED Instrument (AC Operation) using this online calculator? To use this online calculator for Deflection Angle of ED Instrument (AC Operation), enter RMS Current 1 Electrodynamometer (I_rms1), RMS Current 2 Electrodynamometer (I_rms2), Spring Constant Electrodynamometer (K_e), Phase Angle Electrodynamometer (ϕ) & Mutual Inductance with Angle Electrodynamometer (dM|dθ) and hit the calculate button. Here is how the Deflection Angle of ED Instrument (AC Operation) calculation can be explained with given input values -> -0.654978 = ((0.75*1.25)/5)*cos(0.39)*4.

FAQ

What is Deflection Angle of ED Instrument (AC Operation)?

The Deflection Angle of ED Instrument (AC Operation) gives the angle by which the pointer deflects so that both torques are balanced and is represented as θ_ac = ((I_rms1*I_rms2)/K_e)*cos(ϕ)*dM|dθ or Deflection Angle AC Electrodynamometer = ((RMS Current 1 Electrodynamometer*RMS Current 2 Electrodynamometer)/Spring Constant Electrodynamometer)*cos(Phase Angle Electrodynamometer)*Mutual Inductance with Angle Electrodynamometer. 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, Spring Constant Electrodynamometer measures the stiffness of a spring, indicating how much force is needed to stretch or compress it, 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 Electrodynamometer refers to how the interaction between coils varies as the angle alters, influencing sensitivity and torque measurement accuracy.

How to calculate Deflection Angle of ED Instrument (AC Operation)?

The Deflection Angle of ED Instrument (AC Operation) gives the angle by which the pointer deflects so that both torques are balanced is calculated using Deflection Angle AC Electrodynamometer = ((RMS Current 1 Electrodynamometer*RMS Current 2 Electrodynamometer)/Spring Constant Electrodynamometer)*cos(Phase Angle Electrodynamometer)*Mutual Inductance with Angle Electrodynamometer. To calculate Deflection Angle of ED Instrument (AC Operation), you need RMS Current 1 Electrodynamometer (I_rms1), RMS Current 2 Electrodynamometer (I_rms2), Spring Constant Electrodynamometer (K_e), Phase Angle Electrodynamometer (ϕ) & Mutual Inductance with Angle Electrodynamometer (dM|dθ). With our tool, you need to enter the respective value for RMS Current 1 Electrodynamometer, RMS Current 2 Electrodynamometer, Spring Constant Electrodynamometer, Phase Angle Electrodynamometer & Mutual Inductance with Angle Electrodynamometer 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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