m of Moving Iron Ammeter Calculator

✖Meter Resistance refers to the inherent electrical resistance present within a measuring instrument. It is the resistance that the instrument itself presents to the flow of electric current.ⓘ Meter Resistance [R_m]			+10% -10%
✖Shunt Resistance refers to a low-resistance pathway connected in parallel with a measuring instrument to divert most of the current and enable accurate measurement.ⓘ Shunt Resistance [R_sh]			+10% -10%
✖Angular Frequency is a measure of how quickly a sinusoidal waveform oscillates or completes a full cycle over time.ⓘ Angular Frequency [ω]			+10% -10%
✖Inductance is a fundamental property of electrical circuits and components, measures the ability of a component to store energy in the form of a magnetic field.ⓘ Inductance [L]			+10% -10%
✖Shunt Inductance refers to an inductor connected in parallel with a component or circuit to affect the flow of electrical current.ⓘ Shunt Inductance [L_sh]			+10% -10%

✖Multiplying Power refers to the mechanism by which shunt resistors are used to divert most of the current, allowing the meter to measure higher currents accurately.ⓘ m of Moving Iron Ammeter [m]

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m of Moving Iron Ammeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Multiplying Power = (Meter Resistance/Shunt Resistance)*sqrt((1+((Angular Frequency*Inductance)/Meter Resistance)^2)/(1+((Angular Frequency*Shunt Inductance)/Shunt Resistance)^2))
m = (R_m/R_sh)*sqrt((1+((ω*L)/R_m)^2)/(1+((ω*L_sh)/R_sh)^2))
This formula uses 1 Functions, 6 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 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 Resistance - (Measured in Ohm) - Meter Resistance refers to the inherent electrical resistance present within a measuring instrument. It is the resistance that the instrument itself presents to the flow of electric current.
Shunt Resistance - (Measured in Ohm) - Shunt Resistance refers to a low-resistance pathway connected in parallel with a measuring instrument to divert most of the current and enable accurate measurement.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency is a measure of how quickly a sinusoidal waveform oscillates or completes a full cycle over time.
Inductance - (Measured in Henry) - Inductance is a fundamental property of electrical circuits and components, measures the ability of a component to store energy in the form of a magnetic field.
Shunt Inductance - (Measured in Henry) - Shunt Inductance refers to an inductor connected in parallel with a component or circuit to affect the flow of electrical current.

STEP 1: Convert Input(s) to Base Unit

Meter Resistance: 30 Ohm --> 30 Ohm No Conversion Required
Shunt Resistance: 10 Ohm --> 10 Ohm No Conversion Required
Angular Frequency: 50 Radian per Second --> 50 Radian per Second No Conversion Required
Inductance: 5 Henry --> 5 Henry No Conversion Required
Shunt Inductance: 1.25 Henry --> 1.25 Henry No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = (R_m/R_sh)*sqrt((1+((ω*L)/R_m)^2)/(1+((ω*L_sh)/R_sh)^2)) --> (30/10)*sqrt((1+((50*5)/30)^2)/(1+((50*1.25)/10)^2))

Evaluating ... ...

m = 3.97809917057386

STEP 3: Convert Result to Output's Unit

3.97809917057386 --> No Conversion Required

FINAL ANSWER

3.97809917057386 ≈ 3.978099 <-- Multiplying Power

(Calculation completed in 00.004 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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Birsa Institute of Technology (BIT), Sindri

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< Ammeter Calculators

Rsh of PMMC based Ammeter

LaTeX Go Shunt Resistance = (Meter Current*Meter Resistance)/(Electric Current-Meter Current)

Resistance at switch position n for multi range Ammeter

LaTeX Go Resistance at nth Switch Position = (Resistance at Switch Position 1+Meter Resistance)/Nth Multiplying Factor

Nth resistance in multi-range Ammeter

LaTeX Go Nth Multiplier Resistance = Meter Resistance/(Nth Multiplying Factor-1)

m of PMMC based Ammeter

LaTeX Go Multiplying Power = 1+(Meter Resistance/Shunt Resistance)

m of Moving Iron Ammeter Formula

LaTeX Go

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 move 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 Ammeter?

m of Moving Iron Ammeter calculator uses Multiplying Power = (Meter Resistance/Shunt Resistance)*sqrt((1+((Angular Frequency*Inductance)/Meter Resistance)^2)/(1+((Angular Frequency*Shunt Inductance)/Shunt Resistance)^2)) to calculate the Multiplying Power, The m of Moving Iron Ammeter is the overall multiplying power of the Moving Iron instrument based ammeter. Multiplying Power is denoted by m symbol.

How to calculate m of Moving Iron Ammeter using this online calculator? To use this online calculator for m of Moving Iron Ammeter, enter Meter Resistance (R_m), Shunt Resistance (R_sh), Angular Frequency (ω), Inductance (L) & Shunt Inductance (L_sh) and hit the calculate button. Here is how the m of Moving Iron Ammeter calculation can be explained with given input values -> 4.027537 = (30/10)*sqrt((1+((50*5)/30)^2)/(1+((50*1.25)/10)^2)).

FAQ

What is m of Moving Iron Ammeter?

The m of Moving Iron Ammeter is the overall multiplying power of the Moving Iron instrument based ammeter and is represented as m = (R_m/R_sh)*sqrt((1+((ω*L)/R_m)^2)/(1+((ω*L_sh)/R_sh)^2)) or Multiplying Power = (Meter Resistance/Shunt Resistance)*sqrt((1+((Angular Frequency*Inductance)/Meter Resistance)^2)/(1+((Angular Frequency*Shunt Inductance)/Shunt Resistance)^2)). Meter Resistance refers to the inherent electrical resistance present within a measuring instrument. It is the resistance that the instrument itself presents to the flow of electric current, Shunt Resistance refers to a low-resistance pathway connected in parallel with a measuring instrument to divert most of the current and enable accurate measurement, Angular Frequency is a measure of how quickly a sinusoidal waveform oscillates or completes a full cycle over time, Inductance is a fundamental property of electrical circuits and components, measures the ability of a component to store energy in the form of a magnetic field & Shunt Inductance refers to an inductor connected in parallel with a component or circuit to affect the flow of electrical current.

How to calculate m of Moving Iron Ammeter?

The m of Moving Iron Ammeter is the overall multiplying power of the Moving Iron instrument based ammeter is calculated using Multiplying Power = (Meter Resistance/Shunt Resistance)*sqrt((1+((Angular Frequency*Inductance)/Meter Resistance)^2)/(1+((Angular Frequency*Shunt Inductance)/Shunt Resistance)^2)). To calculate m of Moving Iron Ammeter, you need Meter Resistance (R_m), Shunt Resistance (R_sh), Angular Frequency (ω), Inductance (L) & Shunt Inductance (L_sh). With our tool, you need to enter the respective value for Meter Resistance, Shunt Resistance, Angular Frequency, Inductance & Shunt 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 Power?

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

Multiplying Power = 1+(Meter Resistance/Shunt Resistance)

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