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Voltage Multiplying Power of Moving Iron Voltmeter Formula

GoMultiplying Factor for Multiplier Voltmeter Formula

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Multiplying Factor refers to the mechanism by which shunt resistors are used to divert most of the current, allowing the meter to measure higher currents accurately. Check FAQs

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

m - Multiplying Factor?R_{i_m} - Meter Internal Resistance?R_S - Series Resistance?ω - Angular Frequency?L - Inductance?

Voltage Multiplying Power of Moving Iron Voltmeter Example

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Here is how the Voltage Multiplying Power of Moving Iron Voltmeter equation looks like with Values.

Here is how the Voltage Multiplying Power of Moving Iron Voltmeter equation looks like with Units.

Here is how the Voltage Multiplying Power of Moving Iron Voltmeter equation looks like.

4.0041 = \sqrt{\frac{{(5.5 + 24)}^{2} + {(1.12 \cdot 4.52)}^{2}}{{(5.5)}^{2} + {(1.12 \cdot 4.52)}^{2}}}

4.0041 = \sqrt{\frac{{(5.5Ω + 24Ω)}^{2} + {(1.12rad/s \cdot 4.52H)}^{2}}{{(5.5Ω)}^{2} + {(1.12rad/s \cdot 4.52H)}^{2}}}

4.0041 = \sqrt{\frac{{(5.5 + 24)}^{2} + {(1.12 \cdot 4.52)}^{2}}{{(5.5)}^{2} + {(1.12 \cdot 4.52)}^{2}}}

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Voltage Multiplying Power of Moving Iron Voltmeter Solution

Follow our step by step solution on how to calculate Voltage Multiplying Power of Moving Iron Voltmeter?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

m = \sqrt{\frac{{(5.5Ω + 24Ω)}^{2} + {(1.12rad/s \cdot 4.52H)}^{2}}{{(5.5Ω)}^{2} + {(1.12rad/s \cdot 4.52H)}^{2}}}

Next Step Prepare to Evaluate

∴

m = \sqrt{\frac{{(5.5 + 24)}^{2} + {(1.12 \cdot 4.52)}^{2}}{{(5.5)}^{2} + {(1.12 \cdot 4.52)}^{2}}}

Next Step Evaluate

∴

m = 4.0040952162833

LAST Step Rounding Answer

∴

m = 4.0041

Voltage Multiplying Power of Moving Iron Voltmeter Formula Elements

Variables

Functions

Multiplying Factor

Multiplying Factor refers to the mechanism by which shunt resistors are used to divert most of the current, allowing the meter to measure higher currents accurately.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Multiplying Factor

Meter Internal Resistance

Meter Internal Resistance refers to the inherent resistance present within a measuring instrument.

Symbol: R_{i_m}

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Meter Internal Resistance

Series Resistance

Series Resistance is the value of series resistance attached to the pmmc-based voltmeter.

Symbol: R_S

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Series Resistance

Angular Frequency

Angular frequency is a measure of how quickly an object rotates or oscillates. It indicates the rate of change of the phase of a sinusoidal waveform.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency

Inductance

Inductance is defined as the ability of a circuit element to store energy in the form of a magnetic field when current flows through it.

Symbol: L

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Inductance

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Multiplying Factor

Go Multiplying Factor for Multiplier Voltmeter

m = 1 + (\frac{R s}{R i_m})

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 Deflecting Torque of Electrodynamometer Voltmeter

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

Go Deflection Angle of Electrodynamometer Voltmeter

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

Go Additional Capacitance

C a = C self + C v

How to Evaluate Voltage Multiplying Power of Moving Iron Voltmeter?

Voltage Multiplying Power of Moving Iron Voltmeter evaluator uses Multiplying Factor = sqrt(((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)/((Meter Internal Resistance)^2+(Angular Frequency*Inductance)^2)) to evaluate the Multiplying Factor, The Voltage Multiplying Power of Moving Iron Voltmeter formula is defined as its ability to measure a wide range of voltages due to the nonlinear relationship between the voltage applied and the resulting torque on the moving iron element. Multiplying Factor is denoted by m symbol.

How to evaluate Voltage Multiplying Power of Moving Iron Voltmeter using this online evaluator? To use this online evaluator for Voltage Multiplying Power of Moving Iron Voltmeter, enter Meter Internal Resistance (R_{i_m}), Series Resistance (R_S), Angular Frequency (ω) & Inductance (L) and hit the calculate button.

FAQs on Voltage Multiplying Power of Moving Iron Voltmeter

What is the formula to find Voltage Multiplying Power of Moving Iron Voltmeter?

The formula of Voltage Multiplying Power of Moving Iron Voltmeter is expressed as Multiplying Factor = sqrt(((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)/((Meter Internal Resistance)^2+(Angular Frequency*Inductance)^2)). Here is an example- 2.452501 = sqrt(((5.5+24)^2+(1.12*4.52)^2)/((5.5)^2+(1.12*4.52)^2)).

How to calculate Voltage Multiplying Power of Moving Iron Voltmeter?

With Meter Internal Resistance (R_{i_m}), Series Resistance (R_S), Angular Frequency (ω) & Inductance (L) we can find Voltage Multiplying Power of Moving Iron Voltmeter using the formula - Multiplying Factor = sqrt(((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)/((Meter Internal Resistance)^2+(Angular Frequency*Inductance)^2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Multiplying Factor?

Here are the different ways to Calculate Multiplying Factor-

Multiplying Factor=1+(Multiplier Resistance/Meter Internal Resistance)

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Voltage Multiplying Power of Moving Iron Voltmeter Formula

​GoMultiplying Factor for Multiplier Voltmeter Formula

Voltage Multiplying Power of Moving Iron Voltmeter Example

Voltage Multiplying Power of Moving Iron Voltmeter Solution

Voltage Multiplying Power of Moving Iron Voltmeter Formula Elements

Other Formulas to find Multiplying Factor

Other formulas in Voltmeter Specifications category

How to Evaluate Voltage Multiplying Power of Moving Iron Voltmeter?

FAQs on Voltage Multiplying Power of Moving Iron Voltmeter

Variable Name

GoMultiplying Factor for Multiplier Voltmeter Formula