Deflection Angle of ED Instrument (DC Operation) Calculator

✖I1 is the instantaneous value of current in the fixed coil.ⓘ I1 [I₁]			+10% -10%
✖I2 is the instantaneous value of current in moving coil.ⓘ I2 [I₂]			+10% -10%
✖K (spring) gives the spring constant of the spring.ⓘ K (spring) [K]			+10% -10%
✖Change in Mutual Inductance is the change in the inductance in both coil (mutual) with a change in deflecting angle.ⓘ Change in Mutual Inductance [dMdθ]			+10% -10%

✖Angle of Deflection DA DC gives the angle of deflection in coil.ⓘ Deflection Angle of ED Instrument (DC Operation) [θ_{DA_DC}]

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Formula

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Deflection Angle of ED Instrument (DC Operation)

Formula

`"θ"_{"DA_DC"} = (("I"_{"1"}*"I"_{"2"})/"K")*"dMdθ"`

Example

`"334.2254rad"=(("10A"*"20A")/"0.000012Nm/rad")*"0.35μH/degree"`

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Deflection Angle of ED Instrument (DC Operation) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Deflection DA DC = ((I1*I2)/K (spring))*Change in Mutual Inductance
θ_{DA_DC} = ((I₁*I₂)/K)*dMdθ
This formula uses 5 Variables

Variables Used

Angle of Deflection DA DC - (Measured in Radian) - Angle of Deflection DA DC gives the angle of deflection in coil.
I1 - (Measured in Ampere) - I1 is the instantaneous value of current in the fixed coil.
I2 - (Measured in Ampere) - I2 is the instantaneous value of current in moving coil.
K (spring) - (Measured in Newton Meter per Radian) - K (spring) gives the spring constant of the spring.
Change in Mutual Inductance - (Measured in Henry Per Radian) - Change in Mutual Inductance is the change in the inductance in both coil (mutual) with a change in deflecting angle.

STEP 1: Convert Input(s) to Base Unit

I1: 10 Ampere --> 10 Ampere No Conversion Required
I2: 20 Ampere --> 20 Ampere No Conversion Required
K (spring): 1.2E-05 Newton Meter per Radian --> 1.2E-05 Newton Meter per Radian No Conversion Required
Change in Mutual Inductance: 0.35 Microhenry per Degree --> 2.00535228295826E-05 Henry Per Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_{DA_DC} = ((I₁*I₂)/K)*dMdθ --> ((10*20)/1.2E-05)*2.00535228295826E-05

Evaluating ... ...

θ_{DA_DC} = 334.225380493043

STEP 3: Convert Result to Output's Unit

334.225380493043 Radian --> No Conversion Required

FINAL ANSWER

334.225380493043 ≈ 334.2254 Radian <-- Angle of Deflection DA DC

(Calculation completed in 00.004 seconds)

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Vellore Institute of Technology (VIT), Vellore

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< 8 Electromechanical Indicating Circuits Calculators

Angle of Deflection of ED Wattmeter

Go Angle of Deflection 1 = (Current (total)*Current (P.C)*cos(Phi)*Change in Mutual Inductance)/(Resistance (P.C)*K (spring))

Deflecting Torque of ED Wattmeter

Go Torque 1 = (Voltage (total)*Current (total)*cos(Phi)*Change in Mutual Inductance)/Resistance (P.C)

Deflection Angle of ED Instrument (AC Operation)

Go Angle of Deflection DA AC = ((I1*I2)/K (spring))*cos(Phi)*Change in Mutual Inductance

Braking Torque in Energy Meter

Go Braking Torque = Spring Constant*Voltage (torque)*Current (total)*cos(Angle)

Deflecting Torque of ED Instrument (AC Operation)

Go Torque DT AC = I1*I2*cos(Phi)*Change in Mutual Inductance

Deflection Angle of ED Instrument (DC Operation)

Go Angle of Deflection DA DC = ((I1*I2)/K (spring))*Change in Mutual Inductance

Deflecting Torque of ED Instrument (DC Operation)

Go Torque DT DC = I1*I2*Change in Mutual Inductance

Driving Torque in Energy Meter

Go Driving Torque = K (spring)*Speed

Deflection Angle of ED Instrument (DC Operation) Formula

Angle of Deflection DA DC = ((I1*I2)/K (spring))*Change in Mutual Inductance
θ_{DA_DC} = ((I₁*I₂)/K)*dMdθ

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 DA DC = ((I1*I2)/K (spring))*Change in Mutual Inductance to calculate the Angle of Deflection DA DC, 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 DA DC is denoted by θ_{DA_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 I1 (I₁), I2 (I₂), K (spring) (K) & Change in Mutual Inductance (dMdθ) and hit the calculate button. Here is how the Deflection Angle of ED Instrument (DC Operation) calculation can be explained with given input values -> 334.2254 = ((10*20)/1.2E-05)*2.00535228295826E-05.

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_{DA_DC} = ((I₁*I₂)/K)*dMdθ or Angle of Deflection DA DC = ((I1*I2)/K (spring))*Change in Mutual Inductance. I1 is the instantaneous value of current in the fixed coil, I2 is the instantaneous value of current in moving coil, K (spring) gives the spring constant of the spring & Change in Mutual Inductance is the change in the inductance in both coil (mutual) with a change in deflecting angle.

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 DA DC = ((I1*I2)/K (spring))*Change in Mutual Inductance. To calculate Deflection Angle of ED Instrument (DC Operation), you need I1 (I₁), I2 (I₂), K (spring) (K) & Change in Mutual Inductance (dMdθ). With our tool, you need to enter the respective value for I1, I2, K (spring) & Change in Mutual Inductance 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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