Deflecting Torque of ED Instrument (AC Operation) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Torque DT AC = I1*I2*cos(Phi)*Change in Mutual Inductance
Tdt_ac = I1*I2*cos(ϕ)*dMdθ
This formula uses 1 Functions, 5 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
Torque DT AC - (Measured in Newton Meter) - Torque DT AC gives the deflecting torque of the pmmc instrument.
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.
Phi - (Measured in Radian) - Phi is used to calculate cos(phi), which is the power factor.
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
Phi: 1.04 Radian --> 1.04 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
Tdt_ac = I1*I2*cos(ϕ)*dMdθ --> 10*20*cos(1.04)*2.00535228295826E-05
Evaluating ... ...
Tdt_ac = 0.00203029989704294
STEP 3: Convert Result to Output's Unit
0.00203029989704294 Newton Meter --> No Conversion Required
FINAL ANSWER
0.00203029989704294 0.00203 Newton Meter <-- Torque DT AC
(Calculation completed in 00.004 seconds)

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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

Deflecting Torque of ED Instrument (AC Operation) Formula

Torque DT AC = I1*I2*cos(Phi)*Change in Mutual Inductance
Tdt_ac = I1*I2*cos(ϕ)*dMdθ

What is done in Td Calculation?

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

How to Calculate Deflecting Torque of ED Instrument (AC Operation)?

Deflecting Torque of ED Instrument (AC Operation) calculator uses Torque DT AC = I1*I2*cos(Phi)*Change in Mutual Inductance to calculate the Torque DT AC, The Deflecting Torque of ED Instrument (AC Operation) gives the deflecting torque for when the electrodynamometer is operating in AC mode. Torque DT AC is denoted by Tdt_ac symbol.

How to calculate Deflecting Torque of ED Instrument (AC Operation) using this online calculator? To use this online calculator for Deflecting Torque of ED Instrument (AC Operation), enter I1 (I1), I2 (I2), Phi (ϕ) & Change in Mutual Inductance (dMdθ) and hit the calculate button. Here is how the Deflecting Torque of ED Instrument (AC Operation) calculation can be explained with given input values -> 0.00203 = 10*20*cos(1.04)*2.00535228295826E-05.

FAQ

What is Deflecting Torque of ED Instrument (AC Operation)?
The Deflecting Torque of ED Instrument (AC Operation) gives the deflecting torque for when the electrodynamometer is operating in AC mode and is represented as Tdt_ac = I1*I2*cos(ϕ)*dMdθ or Torque DT AC = I1*I2*cos(Phi)*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, Phi is used to calculate cos(phi), which is the power factor & Change in Mutual Inductance is the change in the inductance in both coil (mutual) with a change in deflecting angle.
How to calculate Deflecting Torque of ED Instrument (AC Operation)?
The Deflecting Torque of ED Instrument (AC Operation) gives the deflecting torque for when the electrodynamometer is operating in AC mode is calculated using Torque DT AC = I1*I2*cos(Phi)*Change in Mutual Inductance. To calculate Deflecting Torque of ED Instrument (AC Operation), you need I1 (I1), I2 (I2), Phi (ϕ) & Change in Mutual Inductance (dMdθ). With our tool, you need to enter the respective value for I1, I2, Phi & 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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