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Deflection Angle in Electrodynamic Wattmeter Formula

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Deflection Angle is the angle at which a pointer or needle in a device stops moving when deflection torque is balanced by restoring torque. Check FAQs

θ = \frac{I \cdot I p \cdot \cos (Φ) \cdot dM|dθ}{K}

θ - Deflection Angle?I - Total Current?I_p - Pressure Coil Current?Φ - Phase Angle?dM|dθ - Inductance Change with Deflection Angle?K - Spring Constant?

Deflection Angle in Electrodynamic Wattmeter Example

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Here is how the Deflection Angle in Electrodynamic Wattmeter equation looks like with Values.

Here is how the Deflection Angle in Electrodynamic Wattmeter equation looks like with Units.

Here is how the Deflection Angle in Electrodynamic Wattmeter equation looks like.

0.7825 = \frac{0.5 \cdot 1.06 \cdot \cos (1.04) \cdot 0.35}{0.12}

0.7825rad = \frac{0.5A \cdot 1.06A \cdot \cos (1.04rad) \cdot 0.35H/rad}{0.12Nm/rad}

0.7825 = \frac{0.5 \cdot 1.06 \cdot \cos (1.04) \cdot 0.35}{0.12}

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Deflection Angle in Electrodynamic Wattmeter Solution

Follow our step by step solution on how to calculate Deflection Angle in Electrodynamic Wattmeter?

FIRST Step Consider the formula

θ = \frac{I \cdot I p \cdot \cos (Φ) \cdot dM|dθ}{K}

Next Step Substitute values of Variables

∴

θ = \frac{0.5A \cdot 1.06A \cdot \cos (1.04rad) \cdot 0.35H/rad}{0.12Nm/rad}

Next Step Prepare to Evaluate

∴

θ = \frac{0.5 \cdot 1.06 \cdot \cos (1.04) \cdot 0.35}{0.12}

Next Step Evaluate

∴

θ = 0.782532147639003rad

LAST Step Rounding Answer

∴

θ = 0.7825rad

Deflection Angle in Electrodynamic Wattmeter Formula Elements

Variables

Functions

Deflection Angle

Deflection Angle is the angle at which a pointer or needle in a device stops moving when deflection torque is balanced by restoring torque.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Deflection Angle

Total Current

Total Current is the sum of the current flowing through the load and pressure coil in a wattmeter circuit.

Symbol: I

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Total Current

Pressure Coil Current

Pressure Coil Current is the current flowing through the pressure coil of the wattmeter.

Symbol: I_p

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Pressure Coil Current

Phase Angle

Phase Angle is the measure of the difference in phase between two periodic signals. It indicates how much one signal is leading or lagging behind another.

Symbol: Φ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Phase Angle

Inductance Change with Deflection Angle

Inductance Change with Deflection Angle refers to the variation in the inductance of a coil or inductor as a result of changes in the angle of deflection.

Symbol: dM|dθ

Measurement: Change in Inductance with Change in AngleUnit: H/rad

Note: Value should be greater than 0.

Formulas to find Inductance Change with Deflection Angle

Spring Constant

Spring Constant defines the amount of force required to stretch or compress a spring by a certain distance.

Symbol: K

Measurement: Torsion ConstantUnit: Nm/rad

Note: Value should be greater than 0.

Formulas to find Spring Constant

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Wattmeter Circuit category

Go Power using Two Wattmeter Method

P t = \sqrt{3} \cdot V ph \cdot I 1 \cdot \cos (Φ)

Go Total Power using phi Angle

P t = 3 \cdot V ph \cdot I ph \cdot \cos (Φ)

Go DC Power (in Voltage Terms)

P t = V t \cdot I - (\frac{{V t}^{2}}{R vm})

Go DC Power (in Current Terms)

P t = V t \cdot I - I^{2} \cdot R a

How to Evaluate Deflection Angle in Electrodynamic Wattmeter?

Deflection Angle in Electrodynamic Wattmeter evaluator uses Deflection Angle = (Total Current*Pressure Coil Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/(Spring Constant) to evaluate the Deflection Angle, The Deflection Angle in Electrodynamic Wattmeter formula is used to calculate the angle at which the deflecting and restoring torque are balanced in an electrodynamic Wattmeter. Deflection Angle is denoted by θ symbol.

How to evaluate Deflection Angle in Electrodynamic Wattmeter using this online evaluator? To use this online evaluator for Deflection Angle in Electrodynamic Wattmeter, enter Total Current (I), Pressure Coil Current (I_p), Phase Angle (Φ), Inductance Change with Deflection Angle (dM|dθ) & Spring Constant (K) and hit the calculate button.

FAQs on Deflection Angle in Electrodynamic Wattmeter

What is the formula to find Deflection Angle in Electrodynamic Wattmeter?

The formula of Deflection Angle in Electrodynamic Wattmeter is expressed as Deflection Angle = (Total Current*Pressure Coil Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/(Spring Constant). Here is an example- 8.120617 = (0.5*1.06*cos(1.04)*0.35)/(0.12).

How to calculate Deflection Angle in Electrodynamic Wattmeter?

With Total Current (I), Pressure Coil Current (I_p), Phase Angle (Φ), Inductance Change with Deflection Angle (dM|dθ) & Spring Constant (K) we can find Deflection Angle in Electrodynamic Wattmeter using the formula - Deflection Angle = (Total Current*Pressure Coil Current*cos(Phase Angle)*Inductance Change with Deflection Angle)/(Spring Constant). This formula also uses Cosine (cos) function(s).

Can the Deflection Angle in Electrodynamic Wattmeter be negative?

No, the Deflection Angle in Electrodynamic Wattmeter, measured in Angle cannot be negative.

Which unit is used to measure Deflection Angle in Electrodynamic Wattmeter?

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

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Deflection Angle in Electrodynamic Wattmeter Formula

Deflection Angle in Electrodynamic Wattmeter Example

Deflection Angle in Electrodynamic Wattmeter Solution

Deflection Angle in Electrodynamic Wattmeter Formula Elements

Other formulas in Wattmeter Circuit category

How to Evaluate Deflection Angle in Electrodynamic Wattmeter?

FAQs on Deflection Angle in Electrodynamic Wattmeter

Variable Name