Angle of deflection of PMMC Calculator

✖Number of Magnetic Coil Turns specifies the number of turns of the coil of magnetic coil under testing.ⓘ Number of Magnetic Coil Turns [N]			+10% -10%
✖Flux Density in PMMC refers to the concentration of magnetic field lines within the coil's core, crucial for generating the deflecting torque that moves the coil in response to current.ⓘ Flux Density in PMMC [B]			+10% -10%
✖Coil Length determines the number of turns and the effective area within the magnetic field, crucial for generating a proportional deflection in response to current.ⓘ Coil Length [l]			+10% -10%
✖Coil Width affects the coil's mechanical stability and sensitivity to external influences, such as magnetic fields, ensuring accurate measurement of current by minimizing disturbances.ⓘ Coil Width [d]			+10% -10%
✖Total Current in PMMC causes the coil to rotate due to the interaction between the magnetic field of the permanent magnet and the current, indicating the magnitude of the current being measured.ⓘ Total Current in PMMC [i]			+10% -10%
✖Spring Constant in PMMC represents the stiffness of a spring and determines the force required to stretch or compress it.ⓘ Spring Constant in PMMC [K]			+10% -10%

✖Deflection Angle in PMMC indicates the rotation of the coil in response to current, showing the magnitude of the current or voltage being measured.ⓘ Angle of deflection of PMMC [θ_d]

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Formula

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Angle of deflection of PMMC

Formula

`"θ"_{"d"} = ("N"*"B"*"l"*"d"*"i")/"K"`

Example

`"1.09368rad"=("2"*"5.58Wb/m²"*"7m"*"2.1m"*"0.02A")/"3Nm/rad"`

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Angle of deflection of PMMC Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection Angle in PMMC = (Number of Magnetic Coil Turns*Flux Density in PMMC*Coil Length*Coil Width*Total Current in PMMC)/Spring Constant in PMMC
θ_d = (N*B*l*d*i)/K
This formula uses 7 Variables

Variables Used

Deflection Angle in PMMC - (Measured in Radian) - Deflection Angle in PMMC indicates the rotation of the coil in response to current, showing the magnitude of the current or voltage being measured.
Number of Magnetic Coil Turns - Number of Magnetic Coil Turns specifies the number of turns of the coil of magnetic coil under testing.
Flux Density in PMMC - (Measured in Tesla) - Flux Density in PMMC refers to the concentration of magnetic field lines within the coil's core, crucial for generating the deflecting torque that moves the coil in response to current.
Coil Length - (Measured in Meter) - Coil Length determines the number of turns and the effective area within the magnetic field, crucial for generating a proportional deflection in response to current.
Coil Width - (Measured in Meter) - Coil Width affects the coil's mechanical stability and sensitivity to external influences, such as magnetic fields, ensuring accurate measurement of current by minimizing disturbances.
Total Current in PMMC - (Measured in Ampere) - Total Current in PMMC causes the coil to rotate due to the interaction between the magnetic field of the permanent magnet and the current, indicating the magnitude of the current being measured.
Spring Constant in PMMC - (Measured in Newton Meter per Radian) - Spring Constant in PMMC represents the stiffness of a spring and determines the force required to stretch or compress it.

STEP 1: Convert Input(s) to Base Unit

Number of Magnetic Coil Turns: 2 --> No Conversion Required
Flux Density in PMMC: 5.58 Weber per Square Meter --> 5.58 Tesla (Check conversion here)
Coil Length: 7 Meter --> 7 Meter No Conversion Required
Coil Width: 2.1 Meter --> 2.1 Meter No Conversion Required
Total Current in PMMC: 0.02 Ampere --> 0.02 Ampere No Conversion Required
Spring Constant in PMMC: 3 Newton Meter per Radian --> 3 Newton Meter per Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_d = (N*B*l*d*i)/K --> (2*5.58*7*2.1*0.02)/3

Evaluating ... ...

θ_d = 1.09368

STEP 3: Convert Result to Output's Unit

1.09368 Radian --> No Conversion Required

FINAL ANSWER

1.09368 Radian <-- Deflection Angle in PMMC

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics and Instrumentation » Electrical Instrumentation » Permanent Magnet Moving Coil (PMMC) » Angle of deflection of PMMC

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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Birsa Institute of Technology (BIT), Sindri

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< 2 Permanent Magnet Moving Coil (PMMC) Calculators

Angle of deflection of PMMC

Go Deflection Angle in PMMC = (Number of Magnetic Coil Turns*Flux Density in PMMC*Coil Length*Coil Width*Total Current in PMMC)/Spring Constant in PMMC

Deflecting torque of PMMC instrument

Go Deflecting Torque in PMMC = Number of Magnetic Coil Turns*Flux Density in PMMC*Coil Length*Coil Width*Total Current in PMMC

Angle of deflection of PMMC Formula

Deflection Angle in PMMC = (Number of Magnetic Coil Turns*Flux Density in PMMC*Coil Length*Coil Width*Total Current in PMMC)/Spring Constant in PMMC
θ_d = (N*B*l*d*i)/K

What is PMMC?

PMMC stands for Permanent Magnet Moving Coil. The instruments which use a permanent magnet for creating the stationary magnetic field between which the coil moves are known as a permanent magnet moving coil or PMMC instruments.

How does PMMC work?

When a current flows through the coil, it generates a magnetic field that is proportional to the current in the case of an ammeter. The deflecting torque is produced by the electromagnetic action of the current in the coil and the magnetic field. When the torques are balanced, the moving coil will stop and its angular deflection represents the amount of electrical current to be measured against a fixed reference, called a scale.

How to Calculate Angle of deflection of PMMC?

Angle of deflection of PMMC calculator uses Deflection Angle in PMMC = (Number of Magnetic Coil Turns*Flux Density in PMMC*Coil Length*Coil Width*Total Current in PMMC)/Spring Constant in PMMC to calculate the Deflection Angle in PMMC, The Angle of deflection of PMMC gives the angle at which both torques are balanced. It is the indicating parameter. Deflection Angle in PMMC is denoted by θ_d symbol.

How to calculate Angle of deflection of PMMC using this online calculator? To use this online calculator for Angle of deflection of PMMC, enter Number of Magnetic Coil Turns (N), Flux Density in PMMC (B), Coil Length (l), Coil Width (d), Total Current in PMMC (i) & Spring Constant in PMMC (K) and hit the calculate button. Here is how the Angle of deflection of PMMC calculation can be explained with given input values -> 1.0416 = (2*5.58*7*2.1*0.02)/3.

FAQ

What is Angle of deflection of PMMC?

The Angle of deflection of PMMC gives the angle at which both torques are balanced. It is the indicating parameter and is represented as θ_d = (N*B*l*d*i)/K or Deflection Angle in PMMC = (Number of Magnetic Coil Turns*Flux Density in PMMC*Coil Length*Coil Width*Total Current in PMMC)/Spring Constant in PMMC. Number of Magnetic Coil Turns specifies the number of turns of the coil of magnetic coil under testing, Flux Density in PMMC refers to the concentration of magnetic field lines within the coil's core, crucial for generating the deflecting torque that moves the coil in response to current, Coil Length determines the number of turns and the effective area within the magnetic field, crucial for generating a proportional deflection in response to current, Coil Width affects the coil's mechanical stability and sensitivity to external influences, such as magnetic fields, ensuring accurate measurement of current by minimizing disturbances, Total Current in PMMC causes the coil to rotate due to the interaction between the magnetic field of the permanent magnet and the current, indicating the magnitude of the current being measured & Spring Constant in PMMC represents the stiffness of a spring and determines the force required to stretch or compress it.

How to calculate Angle of deflection of PMMC?

The Angle of deflection of PMMC gives the angle at which both torques are balanced. It is the indicating parameter is calculated using Deflection Angle in PMMC = (Number of Magnetic Coil Turns*Flux Density in PMMC*Coil Length*Coil Width*Total Current in PMMC)/Spring Constant in PMMC. To calculate Angle of deflection of PMMC, you need Number of Magnetic Coil Turns (N), Flux Density in PMMC (B), Coil Length (l), Coil Width (d), Total Current in PMMC (i) & Spring Constant in PMMC (K). With our tool, you need to enter the respective value for Number of Magnetic Coil Turns, Flux Density in PMMC, Coil Length, Coil Width, Total Current in PMMC & Spring Constant in PMMC 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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