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m of Moving Iron Ammeter Formula

Gom of PMMC based Ammeter Formula

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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. Check FAQs

m = (\frac{R m}{R sh}) \cdot \sqrt{\frac{1 + {(\frac{ω \cdot L}{R m})}^{2}}{1 + {(\frac{ω \cdot L sh}{R sh})}^{2}}}

m - Multiplying Power?R_m - Meter Resistance?R_sh - Shunt Resistance?ω - Angular Frequency?L - Inductance?L_sh - Shunt Inductance?

m of Moving Iron Ammeter Example

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Here is how the m of Moving Iron Ammeter equation looks like with Values.

Here is how the m of Moving Iron Ammeter equation looks like with Units.

Here is how the m of Moving Iron Ammeter equation looks like.

3.9781 = (\frac{30}{10}) \cdot \sqrt{\frac{1 + {(\frac{50 \cdot 5}{30})}^{2}}{1 + {(\frac{50 \cdot 1.25}{10})}^{2}}}

3.9781 = (\frac{30Ω}{10Ω}) \cdot \sqrt{\frac{1 + {(\frac{50rad/s \cdot 5H}{30Ω})}^{2}}{1 + {(\frac{50rad/s \cdot 1.25H}{10Ω})}^{2}}}

3.9781 = (\frac{30}{10}) \cdot \sqrt{\frac{1 + {(\frac{50 \cdot 5}{30})}^{2}}{1 + {(\frac{50 \cdot 1.25}{10})}^{2}}}

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m of Moving Iron Ammeter Solution

Follow our step by step solution on how to calculate m of Moving Iron Ammeter?

FIRST Step Consider the formula

m = (\frac{R m}{R sh}) \cdot \sqrt{\frac{1 + {(\frac{ω \cdot L}{R m})}^{2}}{1 + {(\frac{ω \cdot L sh}{R sh})}^{2}}}

Next Step Substitute values of Variables

∴

m = (\frac{30Ω}{10Ω}) \cdot \sqrt{\frac{1 + {(\frac{50rad/s \cdot 5H}{30Ω})}^{2}}{1 + {(\frac{50rad/s \cdot 1.25H}{10Ω})}^{2}}}

Next Step Prepare to Evaluate

∴

m = (\frac{30}{10}) \cdot \sqrt{\frac{1 + {(\frac{50 \cdot 5}{30})}^{2}}{1 + {(\frac{50 \cdot 1.25}{10})}^{2}}}

Next Step Evaluate

∴

m = 3.97809917057386

LAST Step Rounding Answer

∴

m = 3.9781

m of Moving Iron Ammeter Formula Elements

Variables

Functions

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.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Multiplying Power

Meter Resistance

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.

Symbol: R_m

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Meter Resistance

Shunt Resistance

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.

Symbol: R_sh

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Shunt Resistance

Angular Frequency

Angular Frequency is a measure of how quickly a sinusoidal waveform oscillates or completes a full cycle over time.

Symbol: ω

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency

Inductance

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.

Symbol: L

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Inductance

Shunt Inductance

Shunt Inductance refers to an inductor connected in parallel with a component or circuit to affect the flow of electrical current.

Symbol: L_sh

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Shunt 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 Power

Go m of PMMC based Ammeter

m = 1 + (\frac{R m}{R sh})

Other formulas in Ammeter category

Go Rsh of PMMC based Ammeter

R sh = \frac{I m \cdot R m}{I - I m}

Go Nth resistance in multi-range Ammeter

R n = \frac{R m}{m n - 1}

Go Resistance at switch position n for multi range Ammeter

R sn = \frac{R 1 + R m}{m n}

Go Time Constant of Moving Iron Ammeter

T = \frac{L sh}{R sh}

How to Evaluate m of Moving Iron Ammeter?

m of Moving Iron Ammeter evaluator uses Multiplying Power = (Meter Resistance/Shunt Resistance)*sqrt((1+((Angular Frequency*Inductance)/Meter Resistance)^2)/(1+((Angular Frequency*Shunt Inductance)/Shunt Resistance)^2)) to evaluate 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 evaluate m of Moving Iron Ammeter using this online evaluator? To use this online evaluator 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.

FAQs on m of Moving Iron Ammeter

What is the formula to find m of Moving Iron Ammeter?

The formula of m of Moving Iron Ammeter is expressed as Multiplying Power = (Meter Resistance/Shunt Resistance)*sqrt((1+((Angular Frequency*Inductance)/Meter Resistance)^2)/(1+((Angular Frequency*Shunt Inductance)/Shunt Resistance)^2)). Here is an example- 4.027537 = (30/10)*sqrt((1+((50*5)/30)^2)/(1+((50*1.25)/10)^2)).

How to calculate m of Moving Iron Ammeter?

With Meter Resistance (R_m), Shunt Resistance (R_sh), Angular Frequency (ω), Inductance (L) & Shunt Inductance (L_sh) we can find m of Moving Iron Ammeter using the formula - Multiplying Power = (Meter Resistance/Shunt Resistance)*sqrt((1+((Angular Frequency*Inductance)/Meter Resistance)^2)/(1+((Angular Frequency*Shunt Inductance)/Shunt Resistance)^2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Multiplying Power?

Here are the different ways to Calculate Multiplying Power-

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

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m of Moving Iron Ammeter Formula

​Gom of PMMC based Ammeter Formula

m of Moving Iron Ammeter Example

m of Moving Iron Ammeter Solution

m of Moving Iron Ammeter Formula Elements

Other Formulas to find Multiplying Power

Other formulas in Ammeter category

How to Evaluate m of Moving Iron Ammeter?

FAQs on m of Moving Iron Ammeter

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Gom of PMMC based Ammeter Formula