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Angle of deflection of PMMC Formula

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Deflection Angle in PMMC indicates the rotation of the coil in response to current, showing the magnitude of the current or voltage being measured. Check FAQs

θ d = \frac{N \cdot B \cdot l \cdot d \cdot i}{K}

θ_d - Deflection Angle in PMMC?N - Number of Magnetic Coil Turns?B - Flux Density in PMMC?l - Coil Length?d - Coil Width?i - Total Current in PMMC?K - Spring Constant in PMMC?

Angle of deflection of PMMC Example

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Here is how the Angle of deflection of PMMC equation looks like with Values.

Here is how the Angle of deflection of PMMC equation looks like with Units.

Here is how the Angle of deflection of PMMC equation looks like.

1.0937 = \frac{2 \cdot 5.58 \cdot 7 \cdot 2.1 \cdot 0.02}{3}

1.0937rad = \frac{2 \cdot 5.58Wb/m² \cdot 7m \cdot 2.1m \cdot 0.02A}{3Nm/rad}

1.0937 = \frac{2 \cdot 5.58 \cdot 7 \cdot 2.1 \cdot 0.02}{3}

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Angle of deflection of PMMC Solution

Follow our step by step solution on how to calculate Angle of deflection of PMMC?

FIRST Step Consider the formula

θ d = \frac{N \cdot B \cdot l \cdot d \cdot i}{K}

Next Step Substitute values of Variables

∴

θ d = \frac{2 \cdot 5.58Wb/m² \cdot 7m \cdot 2.1m \cdot 0.02A}{3Nm/rad}

Next Step Convert Units

∴

θ d = \frac{2 \cdot 5.58T \cdot 7m \cdot 2.1m \cdot 0.02A}{3Nm/rad}

Next Step Prepare to Evaluate

∴

θ d = \frac{2 \cdot 5.58 \cdot 7 \cdot 2.1 \cdot 0.02}{3}

Next Step Evaluate

∴

θ d = 1.09368rad

LAST Step Rounding Answer

∴

θ d = 1.0937rad

Angle of deflection of PMMC Formula Elements

Variables

Deflection Angle in PMMC

Deflection Angle in PMMC indicates the rotation of the coil in response to current, showing the magnitude of the current or voltage being measured.

Symbol: θ_d

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Number of Magnetic Coil Turns

Number of Magnetic Coil Turns specifies the number of turns of the coil of magnetic coil under testing.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Flux Density in PMMC

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.

Symbol: B

Measurement: Magnetic Flux DensityUnit: Wb/m²

Note: Value should be greater than 0.

Coil Length

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.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Coil Width

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.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Total Current in PMMC

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.

Symbol: i

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Spring Constant in PMMC

Spring Constant in PMMC represents the stiffness of a spring and determines the force required to stretch or compress it.

Symbol: K

Measurement: Torsion ConstantUnit: Nm/rad

Note: Value should be greater than 0.

Credits

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Formula and 100+ more formulas!

Verifier Image

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Formula and 1900+ more formulas!

Other formulas in Permanent Magnet Moving Coil (PMMC) category

Go Deflecting torque of PMMC instrument

T = N \cdot B \cdot l \cdot d \cdot i

How to Evaluate Angle of deflection of PMMC?

Angle of deflection of PMMC evaluator 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 evaluate 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 evaluate Angle of deflection of PMMC using this online evaluator? To use this online evaluator 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.

FAQs on Angle of deflection of PMMC

What is the formula to find Angle of deflection of PMMC?

The formula of Angle of deflection of PMMC is expressed as 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. Here is an example- 1.0416 = (2*5.58*7*2.1*0.02)/3.

How to calculate Angle of deflection of PMMC?

With 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) we can find Angle of deflection of PMMC using the 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.

Can the Angle of deflection of PMMC be negative?

No, the Angle of deflection of PMMC, measured in Angle cannot be negative.

Which unit is used to measure Angle of deflection of PMMC?

Angle of deflection of PMMC is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Angle of deflection of PMMC can be measured.

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