Deflection Angle of ED Instrument (DC Operation) Calculator

✖Direct Current 1 Electrodynamometer is a type of electrical flow where electrons flow in one direction in coil 1 of electrodynamometer.ⓘ Direct Current 1 Electrodynamometer [I₁]			+10% -10%
✖Direct Current 2 Electrodynamometer is a type of electrical flow where electrons flow in one direction in coil 2 of electrodynamometer.ⓘ Direct Current 2 Electrodynamometer [I₂]			+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]			+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%

✖Angle of Deflection for DC Electrodynamometer shows current or power levels. It results from magnetic interactions between fixed and moving coils, increasing with higher current.ⓘ Deflection Angle of ED Instrument (DC Operation) [θ_dc]

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Formula

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Deflection Angle of ED Instrument (DC Operation)

Formula

`"θ"_{"dc"} = (("I"_{"1"}*"I"_{"2"})/"K")*"dM|dθ"`

Example

`"3rad"=(("2.5A"*"1.5A")/"5Nm/rad")*"4H/rad"`

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Deflection Angle of ED Instrument (DC Operation) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Deflection for DC Electrodynamometer = ((Direct Current 1 Electrodynamometer*Direct Current 2 Electrodynamometer)/Spring Constant Electrodynamometer)*Mutual Inductance with Angle Electrodynamometer
θ_dc = ((I₁*I₂)/K)*dM|dθ
This formula uses 5 Variables

Variables Used

Angle of Deflection for DC Electrodynamometer - (Measured in Radian) - Angle of Deflection for DC Electrodynamometer shows current or power levels. It results from magnetic interactions between fixed and moving coils, increasing with higher current.
Direct Current 1 Electrodynamometer - (Measured in Ampere) - Direct Current 1 Electrodynamometer is a type of electrical flow where electrons flow in one direction in coil 1 of electrodynamometer.
Direct Current 2 Electrodynamometer - (Measured in Ampere) - Direct Current 2 Electrodynamometer is a type of electrical flow where electrons flow in one direction in coil 2 of 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.
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

Direct Current 1 Electrodynamometer: 2.5 Ampere --> 2.5 Ampere No Conversion Required
Direct Current 2 Electrodynamometer: 1.5 Ampere --> 1.5 Ampere No Conversion Required
Spring Constant Electrodynamometer: 5 Newton Meter per Radian --> 5 Newton Meter per 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_dc = ((I₁*I₂)/K)*dM|dθ --> ((2.5*1.5)/5)*4

Evaluating ... ...

θ_dc = 3

STEP 3: Convert Result to Output's Unit

3 Radian --> No Conversion Required

FINAL ANSWER

3 Radian <-- Angle of Deflection for DC 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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< 4 Electrodynamometer Type Calculators

Deflection Angle of ED Instrument (AC Operation)

Go Angle of Deflection for 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 Torque for AC Operation 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 Angle of Deflection for 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 Torque for DC Operation Electrodynamometer = Direct Current 1 Electrodynamometer*Direct Current 2 Electrodynamometer*Mutual Inductance with Angle Electrodynamometer

Deflection Angle of ED Instrument (DC 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. It is inversely proportional to the spring constant.

How to Calculate Deflection Angle of ED Instrument (DC Operation)?

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

How to calculate Deflection Angle of ED Instrument (DC Operation) using this online calculator? To use this online calculator for Deflection Angle of ED Instrument (DC Operation), enter Direct Current 1 Electrodynamometer (I₁), Direct Current 2 Electrodynamometer (I₂), Spring Constant Electrodynamometer (K) & Mutual Inductance with Angle Electrodynamometer (dM|dθ) and hit the calculate button. Here is how the Deflection Angle of ED Instrument (DC Operation) calculation can be explained with given input values -> 3 = ((2.5*1.5)/5)*4.

FAQ

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

The Deflection Angle of ED Instrument (DC Operation) gives the angle by which the pointer deflects so that both torques are balanced and is represented as θ_dc = ((I₁*I₂)/K)*dM|dθ or Angle of Deflection for DC Electrodynamometer = ((Direct Current 1 Electrodynamometer*Direct Current 2 Electrodynamometer)/Spring Constant Electrodynamometer)*Mutual Inductance with Angle Electrodynamometer. Direct Current 1 Electrodynamometer is a type of electrical flow where electrons flow in one direction in coil 1 of electrodynamometer, Direct Current 2 Electrodynamometer is a type of electrical flow where electrons flow in one direction in coil 2 of electrodynamometer, Spring Constant Electrodynamometer measures the stiffness of a spring, indicating how much force is needed to stretch or compress it & 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 (DC Operation)?

The Deflection Angle of ED Instrument (DC Operation) gives the angle by which the pointer deflects so that both torques are balanced is calculated using Angle of Deflection for DC Electrodynamometer = ((Direct Current 1 Electrodynamometer*Direct Current 2 Electrodynamometer)/Spring Constant Electrodynamometer)*Mutual Inductance with Angle Electrodynamometer. To calculate Deflection Angle of ED Instrument (DC Operation), you need Direct Current 1 Electrodynamometer (I₁), Direct Current 2 Electrodynamometer (I₂), Spring Constant Electrodynamometer (K) & Mutual Inductance with Angle Electrodynamometer (dM|dθ). With our tool, you need to enter the respective value for Direct Current 1 Electrodynamometer, Direct Current 2 Electrodynamometer, Spring Constant 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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