m of Moving Iron Voltmeter Calculator

✖Meter Resistance is the internal resistance of the coil in PMMC instrument.ⓘ Meter Resistance [R'_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 the supplied frequency.ⓘ Angular Frequency [ω]			+10% -10%
✖Inductance is the value of the meter inductance.ⓘ Inductance [L]			+10% -10%

✖Multiplying Power is the multiplying power of the shunt.ⓘ m of Moving Iron Voltmeter [M_mi]

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Formula

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m of Moving Iron Voltmeter

Formula

`"M"_{"mi"} = sqrt((("R'"_{"m"}+"R"_{"s"})^2+("ω"*"L")^2)/(("R'"_{"m"})^2+("ω"*"L")^2))`

Example

`"1.000746"=sqrt((("13.13Ω"+"12.12Ω")^2+("10.15rad/s"*"55H")^2)/(("13.13Ω")^2+("10.15rad/s"*"55H")^2))`

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m of Moving Iron Voltmeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Multiplying Power = sqrt(((Meter Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)/((Meter Resistance)^2+(Angular Frequency*Inductance)^2))
M_mi = sqrt(((R'_m+R_s)^2+(ω*L)^2)/((R'_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 Power - Multiplying Power is the multiplying power of the shunt.
Meter Resistance - (Measured in Ohm) - Meter Resistance is the internal resistance of the coil in PMMC 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 the supplied frequency.
Inductance - (Measured in Henry) - Inductance is the value of the meter inductance.

STEP 1: Convert Input(s) to Base Unit

Meter Resistance: 13.13 Ohm --> 13.13 Ohm No Conversion Required
Series Resistance: 12.12 Ohm --> 12.12 Ohm No Conversion Required
Angular Frequency: 10.15 Radian per Second --> 10.15 Radian per Second No Conversion Required
Inductance: 55 Henry --> 55 Henry No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_mi = sqrt(((R'_m+R_s)^2+(ω*L)^2)/((R'_m)^2+(ω*L)^2)) --> sqrt(((13.13+12.12)^2+(10.15*55)^2)/((13.13)^2+(10.15*55)^2))

Evaluating ... ...

M_mi = 1.00074562089854

STEP 3: Convert Result to Output's Unit

1.00074562089854 --> No Conversion Required

FINAL ANSWER

1.00074562089854 ≈ 1.000746 <-- Multiplying Power

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics and Instrumentation » Measuring Instrument Circuits » Voltmeter » Voltmeter Specifications » m of Moving Iron Voltmeter

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< 12 Voltmeter Specifications Calculators

m of Moving Iron Voltmeter

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

Voltage of Moving Iron Voltmeter

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

Deflection Angle of ED Instrument (Voltmeter)

Go Angle of Deflection = (((Total Voltage)^2)*Change in Mutual Inductance*cos(Phase Difference))/(Kappa*(Impedance)^2)

Deflecting Torque of ED Instrument (Voltmeter)

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

Voltmeter Resistance

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

Range of Voltmeter

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

Voltmeter current

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

Self-Capacitance of Coil

Go Self-Capacitance of Coil = Additional Capacitance-Capacitance of Voltmeter

Additional Capacitance

Go Additional Capacitance = Self-Capacitance of Coil+Capacitance of Voltmeter

Volts per Division

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

Voltage Division Ratio

Go Voltage Division Ratio = Line Voltage/Potentiometer Voltage

Capacitance of Voltmeter

Go Capacitance of Voltmeter = Charge/Capacitance

m 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 m of Moving Iron Voltmeter?

m of Moving Iron Voltmeter calculator uses Multiplying Power = sqrt(((Meter Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)/((Meter Resistance)^2+(Angular Frequency*Inductance)^2)) to calculate the Multiplying Power, The m of Moving Iron Voltmeter gives the overall multiplying power of the voltmeter based on the moving iron instrument. Multiplying Power is denoted by M_mi symbol.

How to calculate m of Moving Iron Voltmeter using this online calculator? To use this online calculator for m of Moving Iron Voltmeter, enter Meter Resistance (R'_m), Series Resistance (R_s), Angular Frequency (ω) & Inductance (L) and hit the calculate button. Here is how the m of Moving Iron Voltmeter calculation can be explained with given input values -> 1.000736 = sqrt(((13.13+12.12)^2+(10.15*55)^2)/((13.13)^2+(10.15*55)^2)).

FAQ

What is m of Moving Iron Voltmeter?

The m of Moving Iron Voltmeter gives the overall multiplying power of the voltmeter based on the moving iron instrument and is represented as M_mi = sqrt(((R'_m+R_s)^2+(ω*L)^2)/((R'_m)^2+(ω*L)^2)) or Multiplying Power = sqrt(((Meter Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)/((Meter Resistance)^2+(Angular Frequency*Inductance)^2)). Meter Resistance is the internal resistance of the coil in PMMC instrument, Series Resistance is the value of series resistance attached to the pmmc-based voltmeter, Angular Frequency is the supplied frequency & Inductance is the value of the meter inductance.

How to calculate m of Moving Iron Voltmeter?

The m of Moving Iron Voltmeter gives the overall multiplying power of the voltmeter based on the moving iron instrument is calculated using Multiplying Power = sqrt(((Meter Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)/((Meter Resistance)^2+(Angular Frequency*Inductance)^2)). To calculate m of Moving Iron Voltmeter, you need Meter Resistance (R'_m), Series Resistance (R_s), Angular Frequency (ω) & Inductance (L). With our tool, you need to enter the respective value for Meter 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.

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