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Deflection Angle of Electrodynamometer Voltmeter Formula

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Deflection Angle gives the angle which the pointer moves while measuring any quantity in the coil. Check FAQs

θ = \frac{{V t}^{2} \cdot dM|dθ \cdot \cos (ϕ)}{k \cdot Z^{2}}

θ - Deflection Angle?V_t - Total Voltage?dM|dθ - Mutual Inductance Change with Angle?ϕ - Phase Difference?k - Spring Constant?Z - Impedance?

Deflection Angle of Electrodynamometer Voltmeter Example

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Here is how the Deflection Angle of Electrodynamometer Voltmeter equation looks like with Values.

Here is how the Deflection Angle of Electrodynamometer Voltmeter equation looks like with Units.

Here is how the Deflection Angle of Electrodynamometer Voltmeter equation looks like.

1.0271 = \frac{100^{2} \cdot 0.35 \cdot \cos (1.04)}{0.69 \cdot 50^{2}}

1.0271rad = \frac{{100V}^{2} \cdot 0.35H/rad \cdot \cos (1.04rad)}{0.69Nm/rad \cdot {50Ω}^{2}}

1.0271 = \frac{100^{2} \cdot 0.35 \cdot \cos (1.04)}{0.69 \cdot 50^{2}}

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Deflection Angle of Electrodynamometer Voltmeter Solution

Follow our step by step solution on how to calculate Deflection Angle of Electrodynamometer Voltmeter?

FIRST Step Consider the formula

θ = \frac{{V t}^{2} \cdot dM|dθ \cdot \cos (ϕ)}{k \cdot Z^{2}}

Next Step Substitute values of Variables

∴

θ = \frac{{100V}^{2} \cdot 0.35H/rad \cdot \cos (1.04rad)}{0.69Nm/rad \cdot {50Ω}^{2}}

Next Step Prepare to Evaluate

∴

θ = \frac{100^{2} \cdot 0.35 \cdot \cos (1.04)}{0.69 \cdot 50^{2}}

Next Step Evaluate

∴

θ = 1.02711356539984rad

LAST Step Rounding Answer

∴

θ = 1.0271rad

Deflection Angle of Electrodynamometer Voltmeter Formula Elements

Variables

Functions

Deflection Angle

Deflection Angle gives the angle which the pointer moves while measuring any quantity in the coil.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Deflection Angle

Total Voltage

Total Voltage is the amount of total potential difference across the voltmeter.

Symbol: V_t

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Total Voltage

Mutual Inductance Change with Angle

Mutual Inductance Change with Angle describes how the mutual inductance between two coils changes as the relative orientation or angle between them varies.

Symbol: dM|dθ

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

Note: Value should be greater than 0.

Formulas to find Mutual Inductance Change with Angle

Phase Difference

Phase Difference refers to the angular difference in degrees or radians between the corresponding points of two periodic waveforms that have the same frequency.

Symbol: ϕ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Phase Difference

Spring Constant

spring constant represents the stiffness or rigidity of a spring. It quantifies 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

Impedance

Impedance is a measure of the opposition that a circuit presents to the flow of alternating current consisting of both resistance and reactance.

Symbol: Z

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Impedance

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 Voltmeter Specifications category

Go Voltage of Moving Iron Voltmeter

V = I m \cdot \sqrt{{(R i_m + R S)}^{2} + {(ω \cdot L)}^{2}}

Go Voltage Multiplying Power of Moving Iron Voltmeter

m = \sqrt{\frac{{(R i_m + R S)}^{2} + {(ω \cdot L)}^{2}}{{(R i_m)}^{2} + {(ω \cdot L)}^{2}}}

Go Deflecting Torque of Electrodynamometer Voltmeter

T = {(\frac{V t}{Z})}^{2} \cdot dM|dθ \cdot \cos (ϕ)

Go Additional Capacitance

C a = C self + C v

How to Evaluate Deflection Angle of Electrodynamometer Voltmeter?

Deflection Angle of Electrodynamometer Voltmeter evaluator uses Deflection Angle = (Total Voltage^2*Mutual Inductance Change with Angle*cos(Phase Difference))/(Spring Constant*Impedance^2) to evaluate the Deflection Angle, The Deflection Angle of Electrodynamometer Voltmeter formula is defined as the angular displacement of the pointer from its zero position on the scale, proportional to the voltage being measured. Deflection Angle is denoted by θ symbol.

How to evaluate Deflection Angle of Electrodynamometer Voltmeter using this online evaluator? To use this online evaluator for Deflection Angle of Electrodynamometer Voltmeter, enter Total Voltage (V_t), Mutual Inductance Change with Angle (dM|dθ), Phase Difference (ϕ), Spring Constant (k) & Impedance (Z) and hit the calculate button.

FAQs on Deflection Angle of Electrodynamometer Voltmeter

What is the formula to find Deflection Angle of Electrodynamometer Voltmeter?

The formula of Deflection Angle of Electrodynamometer Voltmeter is expressed as Deflection Angle = (Total Voltage^2*Mutual Inductance Change with Angle*cos(Phase Difference))/(Spring Constant*Impedance^2). Here is an example- 5.905903 = (100^2*0.35*cos(1.04))/(0.69*50^2).

How to calculate Deflection Angle of Electrodynamometer Voltmeter?

With Total Voltage (V_t), Mutual Inductance Change with Angle (dM|dθ), Phase Difference (ϕ), Spring Constant (k) & Impedance (Z) we can find Deflection Angle of Electrodynamometer Voltmeter using the formula - Deflection Angle = (Total Voltage^2*Mutual Inductance Change with Angle*cos(Phase Difference))/(Spring Constant*Impedance^2). This formula also uses Cosine function(s).

Can the Deflection Angle of Electrodynamometer Voltmeter be negative?

No, the Deflection Angle of Electrodynamometer Voltmeter, measured in Angle cannot be negative.

Which unit is used to measure Deflection Angle of Electrodynamometer Voltmeter?

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

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Deflection Angle of Electrodynamometer Voltmeter Formula

Deflection Angle of Electrodynamometer Voltmeter Example

Deflection Angle of Electrodynamometer Voltmeter Solution

Deflection Angle of Electrodynamometer Voltmeter Formula Elements

Other formulas in Voltmeter Specifications category

How to Evaluate Deflection Angle of Electrodynamometer Voltmeter?

FAQs on Deflection Angle of Electrodynamometer Voltmeter

Variable Name