Voltage of Moving Iron Voltmeter Calculator

✖Meter Current is the current flowing through meter for a full-scale deflection.ⓘ Meter Current [I_m]			+10% -10%
✖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%

✖Meter Voltage Voltmeter is the amount of potential difference across two ends of the meter.ⓘ Voltage of Moving Iron Voltmeter [V_mi]

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Formula

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Voltage of Moving Iron Voltmeter

Formula

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

Example

`"18.99991V"="0.034A"*sqrt(("13.13Ω"+"12.12Ω")^2+("10.15rad/s"*"55H")^2)`

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Voltage of Moving Iron Voltmeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Meter Voltage Voltmeter = Meter Current*sqrt((Meter Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)
V_mi = I_m*sqrt((R'_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

Meter Voltage Voltmeter - (Measured in Volt) - Meter Voltage Voltmeter is the amount of potential difference across two ends of the meter.
Meter Current - (Measured in Ampere) - Meter Current is the current flowing through meter for a full-scale deflection.
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 Current: 0.034 Ampere --> 0.034 Ampere No Conversion Required
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

V_mi = I_m*sqrt((R'_m+R_s)^2+(ω*L)^2) --> 0.034*sqrt((13.13+12.12)^2+(10.15*55)^2)

Evaluating ... ...

V_mi = 18.9999053287115

STEP 3: Convert Result to Output's Unit

18.9999053287115 Volt --> No Conversion Required

FINAL ANSWER

18.9999053287115 ≈ 18.99991 Volt <-- Meter Voltage Voltmeter

(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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Vellore Institute of Technology (VIT), Vellore

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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

Voltage of Moving Iron Voltmeter Formula

Meter Voltage Voltmeter = Meter Current*sqrt((Meter Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2)
V_mi = I_m*sqrt((R'_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 Meter Voltage Voltmeter = Meter Current*sqrt((Meter Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2) to calculate the Meter Voltage Voltmeter, The Voltage of Moving Iron Voltmeter gives the measurement of the voltage across the meter, which has an internal resistance and inductance. Meter Voltage Voltmeter is denoted by V_mi 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 Resistance (R'_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 -> 18.99972 = 0.034*sqrt((13.13+12.12)^2+(10.15*55)^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_mi = I_m*sqrt((R'_m+R_s)^2+(ω*L)^2) or Meter Voltage Voltmeter = Meter Current*sqrt((Meter Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2). Meter Current is the current flowing through meter for a full-scale deflection, 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 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 Meter Voltage Voltmeter = Meter Current*sqrt((Meter Resistance+Series Resistance)^2+(Angular Frequency*Inductance)^2). To calculate Voltage of Moving Iron Voltmeter, you need Meter Current (I_m), 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 Current, 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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