Voltage Multiplying Power of Moving Iron Voltmeter Calculator

✖Meter Internal Resistance refers to the inherent resistance present within a measuring instrument.ⓘ Meter Internal Resistance [R_{i_m}]			+10% -10%
✖Series Resistance is the value of series resistance attached to the pmmc-based voltmeter.ⓘ Series Resistance [R_S]			+10% -10%
✖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.ⓘ Angular Frequency [ω]			+10% -10%
✖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.ⓘ Inductance [L]			+10% -10%

✖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.ⓘ Voltage Multiplying Power of Moving Iron Voltmeter [m]

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Formula

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Voltage Multiplying Power of Moving Iron Voltmeter

Formula

`"m" = sqrt((("R"_{"i_m"}+"R"_{"S"})^2+("ω"*"L")^2)/(("R"_{"i_m"})^2+("ω"*"L")^2))`

Example

`"4.004095"=sqrt((("5.5Ω"+"24Ω")^2+("1.12rad/s"*"4.52H")^2)/(("5.5Ω")^2+("1.12rad/s"*"4.52H")^2))`

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Voltage Multiplying Power of Moving Iron Voltmeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Multiplying Factor = sqrt(((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)/((Meter Internal Resistance)^2+(Angular Frequency*Inductance)^2))
m = sqrt(((R_{i_m}+R_S)^2+(ω*L)^2)/((R_{i_m})^2+(ω*L)^2))
This formula uses 1 Functions, 5 Variables

Functions Used

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., sqrt(Number)

Variables Used

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.
Meter Internal Resistance - (Measured in Ohm) - Meter Internal Resistance refers to the inherent resistance present within a measuring instrument.
Series Resistance - (Measured in Ohm) - Series Resistance is the value of series resistance attached to the pmmc-based voltmeter.
Angular Frequency - (Measured in Radian per Second) - 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.
Inductance - (Measured in Henry) - 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.

STEP 1: Convert Input(s) to Base Unit

Meter Internal Resistance: 5.5 Ohm --> 5.5 Ohm No Conversion Required
Series Resistance: 24 Ohm --> 24 Ohm No Conversion Required
Angular Frequency: 1.12 Radian per Second --> 1.12 Radian per Second No Conversion Required
Inductance: 4.52 Henry --> 4.52 Henry No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = sqrt(((R_{i_m}+R_S)^2+(ω*L)^2)/((R_{i_m})^2+(ω*L)^2)) --> sqrt(((5.5+24)^2+(1.12*4.52)^2)/((5.5)^2+(1.12*4.52)^2))

Evaluating ... ...

m = 4.0040952162833

STEP 3: Convert Result to Output's Unit

4.0040952162833 --> No Conversion Required

FINAL ANSWER

4.0040952162833 ≈ 4.004095 <-- Multiplying Factor

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics and Instrumentation » Measuring Instrument Circuits » Voltmeter » Voltmeter Specifications » Voltage Multiplying Power of Moving Iron Voltmeter

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Vellore Institute of Technology (VIT), Vellore

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< 17 Voltmeter Specifications Calculators

Voltage Multiplying Power of Moving Iron Voltmeter

Go Multiplying Factor = sqrt(((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)/((Meter Internal Resistance)^2+(Angular Frequency*Inductance)^2))

Deflection Angle of Electrodynamometer Voltmeter

Go Deflection Angle = (Total Voltage^2*Mutual Inductance Change with Angle*cos(Phase Difference))/(Spring Constant*Impedance^2)

Voltage of Moving Iron Voltmeter

Go Voltage = Meter Current*sqrt((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)

Deflecting Torque of Electrodynamometer Voltmeter

Go Deflecting Torque = (Total Voltage/Impedance)^2*Mutual Inductance Change with Angle*cos(Phase Difference)

Voltage across Capacitance while Charging

Go Voltage across Capacitance = Voltage*(1-exp(-Time/(Resistance*Capacitance)))

Voltage across Capacitance

Go Voltage across Capacitance = Voltage*exp(-Time/(Resistance*Capacitance))

Nth resistance in multi-range voltmeter

Go Nth Multiplier Resistance = (Nth Multiplying Factor-Penultimate Voltage Multiplying Factor)*Meter Internal Resistance

Voltmeter Resistance

Go Voltmeter Resistance = (Voltmeter Range-Current Magnitude*Resistance)/Current Magnitude

Multiplier Resistance of PMMC based Voltmeter

Go Multiplier Resistance = (Voltage/Full Scale Deflection Current)-Meter Internal Resistance

Range of Voltmeter

Go Voltmeter Range = Current Magnitude*(Voltmeter Resistance+Resistance)

Voltmeter current

Go Current Magnitude = (Voltmeter Range-Resistance)/Voltmeter Resistance

Multiplying Factor for Multiplier Voltmeter

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

Self-Capacitance of Coil

Go Coil Self Capacitance = Additional Capacitance-Voltmeter Capacitance

Capacitance of Voltmeter

Go Voltmeter Capacitance = Additional Capacitance-Coil Self Capacitance

Additional Capacitance

Go Additional Capacitance = Coil Self Capacitance+Voltmeter Capacitance

Volts per Division

Go Volt per Division = Peak Voltage/Vertical Peak to Peak Division

Voltmeter Sensitivity

Go Voltmeter Sensitivity = 1/Full Scale Deflection Current

Voltage Multiplying Power of Moving Iron Voltmeter Formula

What is Moving Iron Instrument?

A moving-iron instrument is generally used to measure alternating voltages and currents. The moving element is an iron vane/plate. This iron is moved in a magnetic field produced by a stationary coil, which is excited by the current. On excitement, the coil behaves as an electromagnet, and the vane moves in such a way that the flux increases. Force is produced in the direction which results in the increment of coil inductance

How to Calculate Voltage Multiplying Power of Moving Iron Voltmeter?

Voltage Multiplying Power of Moving Iron Voltmeter calculator uses Multiplying Factor = sqrt(((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)/((Meter Internal Resistance)^2+(Angular Frequency*Inductance)^2)) to calculate 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 calculate Voltage Multiplying Power of Moving Iron Voltmeter using this online calculator? To use this online calculator 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. Here is how the Voltage Multiplying Power of Moving Iron Voltmeter calculation can be explained with given input values -> 2.452501 = sqrt(((5.5+24)^2+(1.12*4.52)^2)/((5.5)^2+(1.12*4.52)^2)).

FAQ

What is Voltage Multiplying Power of Moving Iron Voltmeter?

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 and is represented as m = sqrt(((R_{i_m}+R_S)^2+(ω*L)^2)/((R_{i_m})^2+(ω*L)^2)) or Multiplying Factor = sqrt(((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)/((Meter Internal Resistance)^2+(Angular Frequency*Inductance)^2)). Meter Internal Resistance refers to the inherent resistance present within a measuring instrument, Series Resistance is the value of series resistance attached to the pmmc-based voltmeter, 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 & 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.

How to calculate Voltage Multiplying Power of Moving Iron Voltmeter?

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 is calculated using Multiplying Factor = sqrt(((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)/((Meter Internal Resistance)^2+(Angular Frequency*Inductance)^2)). To calculate Voltage Multiplying Power of Moving Iron Voltmeter, you need Meter Internal Resistance (R_{i_m}), Series Resistance (R_S), Angular Frequency (ω) & Inductance (L). With our tool, you need to enter the respective value for Meter Internal Resistance, Series Resistance, Angular Frequency & Inductance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Multiplying Factor?

In this formula, Multiplying Factor uses Meter Internal Resistance, Series Resistance, Angular Frequency & Inductance. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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