Voltage of Moving Iron Voltmeter Calculator

✖Meter Current refers to the current flowing through a measuring instrument having some inherent internal resistance.ⓘ Meter Current [I_m]			+10% -10%
✖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%

✖Voltage is a measure of the potential energy per unit charge between two points in an electrical circuit. It represents the force that drives electric charges to move in a circuit.ⓘ Voltage of Moving Iron Voltmeter [V]

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Formula

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Voltage of Moving Iron Voltmeter

Formula

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

Example

`"6.584868V"="0.22A"*sqrt(("5.5Ω"+"24Ω")^2+("1.12rad/s"*"4.52H")^2)`

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Voltage of Moving Iron Voltmeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Voltage = Meter Current*sqrt((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)
V = I_m*sqrt((R_{i_m}+R_S)^2+(ω*L)^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

Voltage - (Measured in Volt) - Voltage is a measure of the potential energy per unit charge between two points in an electrical circuit. It represents the force that drives electric charges to move in a circuit.
Meter Current - (Measured in Ampere) - Meter Current refers to the current flowing through a measuring instrument having some inherent internal resistance.
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 Current: 0.22 Ampere --> 0.22 Ampere No Conversion Required
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

V = I_m*sqrt((R_{i_m}+R_S)^2+(ω*L)^2) --> 0.22*sqrt((5.5+24)^2+(1.12*4.52)^2)

Evaluating ... ...

V = 6.58486826428472

STEP 3: Convert Result to Output's Unit

6.58486826428472 Volt --> No Conversion Required

FINAL ANSWER

6.58486826428472 ≈ 6.584868 Volt <-- Voltage

(Calculation completed in 00.004 seconds)

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

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Created by Nikita Suryawanshi

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 of Moving Iron Voltmeter Formula

Voltage = Meter Current*sqrt((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)
V = I_m*sqrt((R_{i_m}+R_S)^2+(ω*L)^2)

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 current. On excitement, coil behaves like an electromagnet and 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 of Moving Iron Voltmeter?

Voltage of Moving Iron Voltmeter calculator uses Voltage = Meter Current*sqrt((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2) to calculate the Voltage, The Voltage of Moving Iron Voltmeter gives the measurement of the voltage across the meter, which has an internal resistance and inductance. Voltage is denoted by V symbol.

How to calculate Voltage of Moving Iron Voltmeter using this online calculator? To use this online calculator for Voltage of Moving Iron Voltmeter, enter Meter Current (I_m), 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 of Moving Iron Voltmeter calculation can be explained with given input values -> 10.17661 = 0.22*sqrt((5.5+24)^2+(1.12*4.52)^2).

FAQ

What is Voltage of Moving Iron Voltmeter?

The Voltage of Moving Iron Voltmeter gives the measurement of the voltage across the meter, which has an internal resistance and inductance and is represented as V = I_m*sqrt((R_{i_m}+R_S)^2+(ω*L)^2) or Voltage = Meter Current*sqrt((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2). Meter Current refers to the current flowing through a measuring instrument having some inherent internal resistance, 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 of Moving Iron Voltmeter?

The Voltage of Moving Iron Voltmeter gives the measurement of the voltage across the meter, which has an internal resistance and inductance is calculated using Voltage = Meter Current*sqrt((Meter Internal Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2). To calculate Voltage of Moving Iron Voltmeter, you need Meter Current (I_m), 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 Current, 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.

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