Angle of deflection of PMMC Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angle of Deflection In Magnetic Coil = (Number of Turns*Flux Density of Coil*Length*Width*Current in Coil)/K (spring)
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 angle of deflection in coil.
Number of Turns - Number of Turns specifies the number of turns of the 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.
K (spring) - (Measured in Newton Meter per Radian) - K (spring) gives the spring constant of the spring.
STEP 1: Convert Input(s) to Base Unit
Number of Turns: 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: 0.002 Ampere --> 0.002 Ampere No Conversion Required
K (spring): 1.2E-05 Newton Meter per Radian --> 1.2E-05 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*0.002)/1.2E-05
Evaluating ... ...
θ = 9
STEP 3: Convert Result to Output's Unit
9 Radian --> No Conversion Required
FINAL ANSWER
9 Radian <-- Angle of Deflection In Magnetic Coil
(Calculation completed in 00.020 seconds)

Credits

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*Flux Density of Coil*Length*Width*Current in Coil)/K (spring)
Deflecting torque of PMMC instrument
Go Torque Permanent Magnet = Number of Turns*Flux Density of Coil*Length*Width*Current in Coil
Rsh of PMMC based Ammeter
Go Rsh PMMC = (Im*RM_PERMANENT_MAGNET)/(Current (measured)-Im)
Rs of PMMC based voltmeter
Go RS PMMC = (Voltage (full range)/Im)-RM_PERMANENT_MAGNET
Resistance at switch position 'n' for multi range Ammeter
Go Nth Resistance At Switch Position = (Rsh1+Rm)/Nth m
Nth resistance in multi-range voltmeter
Go Nth resistance = (Nth m-(n-1)th m)*Rm
m of PMMC based Ammeter
Go Multiplying Power 1 = (1+RM_PERMANENT_MAGNET)/Rsh
m of PMMC based voltmeter
Go Multiplying Power 2 = 1+(RS/RM_PERMANENT_MAGNET)
Nth resistance in multi-range Ammeter
Go Nth resistance = Rm/(Nth m-1)

Angle of deflection of PMMC Formula

Angle of Deflection In Magnetic Coil = (Number of Turns*Flux Density of Coil*Length*Width*Current in Coil)/K (spring)
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*Flux Density of Coil*Length*Width*Current in Coil)/K (spring) 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 (N), Flux Density of Coil (B), Length (l), Width (d), Current in Coil (i) & K (spring) (K) and hit the calculate button. Here is how the Angle of deflection of PMMC calculation can be explained with given input values -> 9 = (100*0.45*0.04*0.03*0.002)/1.2E-05.

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*Flux Density of Coil*Length*Width*Current in Coil)/K (spring). Number of Turns specifies the number of turns of the 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 & K (spring) gives the spring constant of the spring.
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*Flux Density of Coil*Length*Width*Current in Coil)/K (spring). To calculate Angle of deflection of PMMC, you need Number of Turns (N), Flux Density of Coil (B), Length (l), Width (d), Current in Coil (i) & K (spring) (K). With our tool, you need to enter the respective value for Number of Turns, Flux Density of Coil, Length, Width, Current in Coil & K (spring) 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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