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Deflection Angle for AC operation in Electrodynamometer Formula

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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. Check FAQs

θ ac = (\frac{I rms1 \cdot I rms2}{K e}) \cdot \cos (ϕ) \cdot dM|dθ

θ_ac - Deflection Angle AC Electrodynamometer?I_rms1 - RMS Current 1 in Electrodynamometer?I_rms2 - RMS Current 2 in Electrodynamometer?K_e - Spring Constant in Electrodynamometer?ϕ - Phase Angle in Electrodynamometer?dM|dθ - Mutual Inductance with Angle?

Deflection Angle for AC operation in Electrodynamometer Example

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Here is how the Deflection Angle for AC operation in Electrodynamometer equation looks like with Values.

Here is how the Deflection Angle for AC operation in Electrodynamometer equation looks like with Units.

Here is how the Deflection Angle for AC operation in Electrodynamometer equation looks like.

1.0201 = (\frac{0.75 \cdot 1.25}{3.4}) \cdot \cos (0.39) \cdot 4

1.0201rad = (\frac{0.75A \cdot 1.25A}{3.4Nm/rad}) \cdot \cos (0.39rad) \cdot 4H/rad

1.0201 = (\frac{0.75 \cdot 1.25}{3.4}) \cdot \cos (0.39) \cdot 4

Tip: Use pencil () icon above to edit Input Values and Units.

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Deflection Angle for AC operation in Electrodynamometer Solution

Follow our step by step solution on how to calculate Deflection Angle for AC operation in Electrodynamometer?

FIRST Step Consider the formula

θ ac = (\frac{I rms1 \cdot I rms2}{K e}) \cdot \cos (ϕ) \cdot dM|dθ

Next Step Substitute values of Variables

∴

θ ac = (\frac{0.75A \cdot 1.25A}{3.4Nm/rad}) \cdot \cos (0.39rad) \cdot 4H/rad

Next Step Prepare to Evaluate

∴

θ ac = (\frac{0.75 \cdot 1.25}{3.4}) \cdot \cos (0.39) \cdot 4

Next Step Evaluate

∴

θ ac = 1.02012028660733rad

LAST Step Rounding Answer

∴

θ ac = 1.0201rad

Deflection Angle for AC operation in Electrodynamometer Formula Elements

Variables

Functions

Deflection Angle AC Electrodynamometer

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.

Symbol: θ_ac

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

RMS Current 1 in Electrodynamometer

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.

Symbol: I_rms1

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

RMS Current 2 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.

Symbol: I_rms2

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Spring Constant in Electrodynamometer

Spring Constant in Electrodynamometer measures the stiffness of a spring, indicating how much force is needed to stretch or compress it.

Symbol: K_e

Measurement: Torsion ConstantUnit: Nm/rad

Note: Value should be greater than 0.

Phase Angle in Electrodynamometer

Phase Angle in Electrodynamometer measures the relative timing between two periodic waveforms, indicating the time difference between corresponding points of the waves.

Symbol: ϕ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Mutual Inductance with Angle

Mutual Inductance with Angle refers to how the interaction between coils varies as the angle alters, influencing sensitivity and torque measurement accuracy.

Symbol: dM|dθ

Measurement: Change in Inductance with Change in AngleUnit: H/rad

Note: Value should be greater than 0.

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Credits

Creator Image

Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Formula and 100+ more formulas!

Verifier Image

Verified by Devyaani Garg

Shiv Nadar University (SNU), Greater Noida

Devyaani Garg has verified this Formula and 25+ more formulas!

Other formulas in Electrodynamometer Type category

Go Deflecting Torque for DC operation in Electrodynamometer

T dc = I 1 \cdot I 2 \cdot dM|dθ

Go Deflection Angle for DC operation in Electrodynamometer

θ dc = (\frac{I 1 \cdot I 2}{K e}) \cdot dM|dθ

Go Deflecting Torque for AC operation in Electrodynamometer

T ac = I rms1 \cdot I rms2 \cdot \cos (ϕ) \cdot dM|dθ

How to Evaluate Deflection Angle for AC operation in Electrodynamometer?

Deflection Angle for AC operation in Electrodynamometer evaluator 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 evaluate 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 evaluate Deflection Angle for AC operation in Electrodynamometer using this online evaluator? To use this online evaluator 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.

FAQs on Deflection Angle for AC operation in Electrodynamometer

What is the formula to find Deflection Angle for AC operation in Electrodynamometer?

The formula of Deflection Angle for AC operation in Electrodynamometer is expressed as 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. Here is an example- 0.693682 = ((0.75*1.25)/3.4)*cos(0.39)*4.

How to calculate Deflection Angle for AC operation in Electrodynamometer?

With 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) we can find Deflection Angle for AC operation in Electrodynamometer using the formula - 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. This formula also uses Cosine (cos) function(s).

Can the Deflection Angle for AC operation in Electrodynamometer be negative?

No, the Deflection Angle for AC operation in Electrodynamometer, measured in Angle cannot be negative.

Which unit is used to measure Deflection Angle for AC operation in Electrodynamometer?

Deflection Angle for AC operation in Electrodynamometer is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Deflection Angle for AC operation in Electrodynamometer can be measured.

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