Angle of deflection of PMMC Calculator

✖Number of Turns of Magnetic Coil specifies the number of turns of the coil of magnetic coil under testing.ⓘ Number of Turns of Magnetic Coil [N]			+10% -10%
✖Flux Density of Coil gives the flux density in the air gap.ⓘ Flux Density of Coil [B]			+10% -10%
✖Length of scale gives the length of vertical scale.ⓘ Length [l]			+10% -10%
✖Width of scale gives the width of the horizontal scale.ⓘ Width [d]			+10% -10%
✖Current in Coil gives the current through moving coil.ⓘ Current in Coil [i]			+10% -10%
✖Spring Constant, denoted as k, represents the stiffness of a spring and determines the force required to stretch or compress it.ⓘ Spring Constant [K]			+10% -10%

✖Angle of Deflection in Magnetic Coil gives the angular displacement by which the coil is deflected.ⓘ Angle of deflection of PMMC [θ]

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Formula

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Angle of deflection of PMMC

Formula

`"θ" = ("N"*"B"*"l"*"d"*"i")/"K"`

Example

`"0.009rad"=("100"*"0.450Wb/m²"*"0.04m"*"0.03m"*"0.02A")/"0.12Nm/rad"`

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Angle of deflection of PMMC Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Angle of Deflection in Magnetic Coil - (Measured in Radian) - Angle of Deflection in Magnetic Coil gives the angular displacement by which the coil is deflected.
Number of Turns of Magnetic Coil - Number of Turns of Magnetic Coil specifies the number of turns of the coil of magnetic coil under testing.
Flux Density of Coil - (Measured in Tesla) - Flux Density of Coil gives the flux density in the air gap.
Length - (Measured in Meter) - Length of scale gives the length of vertical scale.
Width - (Measured in Meter) - Width of scale gives the width of the horizontal scale.
Current in Coil - (Measured in Ampere) - Current in Coil gives the current through moving coil.
Spring Constant - (Measured in Newton Meter per Radian) - Spring Constant, denoted as k, 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 Turns of Magnetic Coil: 100 --> No Conversion Required
Flux Density of Coil: 0.45 Weber per Square Meter --> 0.45 Tesla (Check conversion here)
Length: 0.04 Meter --> 0.04 Meter No Conversion Required
Width: 0.03 Meter --> 0.03 Meter No Conversion Required
Current in Coil: 0.02 Ampere --> 0.02 Ampere No Conversion Required
Spring Constant: 0.12 Newton Meter per Radian --> 0.12 Newton Meter per Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = (N*B*l*d*i)/K --> (100*0.45*0.04*0.03*0.02)/0.12

Evaluating ... ...

θ = 0.009

STEP 3: Convert Result to Output's Unit

0.009 Radian --> No Conversion Required

FINAL ANSWER

0.009 Radian <-- Angle of Deflection in Magnetic Coil

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electronics and Instrumentation » Measuring Instrument Circuits » Permanent Magnet Moving Coil » Angle of deflection of PMMC

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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< 9 Permanent Magnet Moving Coil Calculators

Angle of deflection of PMMC

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

Deflecting torque of PMMC instrument

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

Rsh of PMMC based Ammeter

Go Resistance of Shunt = (Full Scale Deflection Current*Internal Resistance of Meter Movement)/(Current-Full Scale Deflection Current)

Resistance at switch position 'n' for multi range Ammeter

Go Resistance at nth Switch Position = (Resistance at Switch Position 1+Internal Resistance of Meter Movement)/Nth Multiplying Factor

Nth resistance in multi-range voltmeter

Go Nth Multiplier Resistance = (Nth Multiplying Factor-(n-1)th Multiplying Factor)*Internal Resistance of Meter Movement

Rs of PMMC based voltmeter

Go Multiplier Resistance = (Voltage/Full Scale Deflection Current)-Internal Resistance of Meter Movement

Nth resistance in multi-range Ammeter

Go Nth Multiplier Resistance = Internal Resistance of Meter Movement/(Nth Multiplying Factor-1)

m of PMMC based voltmeter

Go Multiplying Power = 1+(Multiplier Resistance/Internal Resistance of Meter Movement)

m of PMMC based Ammeter

Go Multiplying Power = (1+Internal Resistance of Meter Movement)/Resistance of Shunt

Angle of deflection of PMMC Formula

Angle of Deflection in Magnetic Coil = (Number of Turns of Magnetic Coil*Flux Density of Coil*Length*Width*Current in Coil)/Spring Constant
θ = (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 Angle of Deflection in Magnetic Coil = (Number of Turns of Magnetic Coil*Flux Density of Coil*Length*Width*Current in Coil)/Spring Constant to calculate the Angle of Deflection in Magnetic Coil, The Angle of deflection of PMMC gives the angle at which both torques are balanced. It is the indicating parameter. Angle of Deflection in Magnetic Coil is denoted by θ 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 Turns of Magnetic Coil (N), Flux Density of Coil (B), Length (l), Width (d), Current in Coil (i) & Spring Constant (K) and hit the calculate button. Here is how the Angle of deflection of PMMC calculation can be explained with given input values -> 90 = (100*0.45*0.04*0.03*0.02)/0.12.

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 = (N*B*l*d*i)/K or Angle of Deflection in Magnetic Coil = (Number of Turns of Magnetic Coil*Flux Density of Coil*Length*Width*Current in Coil)/Spring Constant. Number of Turns of Magnetic Coil specifies the number of turns of the coil of magnetic coil under testing, Flux Density of Coil gives the flux density in the air gap, Length of scale gives the length of vertical scale, Width of scale gives the width of the horizontal scale, Current in Coil gives the current through moving coil & Spring Constant, denoted as k, 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 Angle of Deflection in Magnetic Coil = (Number of Turns of Magnetic Coil*Flux Density of Coil*Length*Width*Current in Coil)/Spring Constant. To calculate Angle of deflection of PMMC, you need Number of Turns of Magnetic Coil (N), Flux Density of Coil (B), Length (l), Width (d), Current in Coil (i) & Spring Constant (K). With our tool, you need to enter the respective value for Number of Turns of Magnetic Coil, Flux Density of Coil, Length, Width, Current in Coil & Spring Constant 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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