Multiplier Resistance of PMMC based Voltmeter Calculator

✖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 [V]			+10% -10%
✖Full Scale Deflection Current is the maximum current that an instrument can measure, causing its pointer or display to reach the highest position on its scale.ⓘ Full Scale Deflection Current [I_f]			+10% -10%
✖Meter Internal Resistance refers to the inherent resistance present within a measuring instrument.ⓘ Meter Internal Resistance [R_{i_m}]			+10% -10%

✖Multiplier Resistance is the value of series resistance attached to the pmmc-based voltmeter.ⓘ Multiplier Resistance of PMMC based Voltmeter [R_s]

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Formula

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Multiplier Resistance of PMMC based Voltmeter

Formula

`"R"_{"s"} = ("V"/"I"_{"f"})-"R"_{"i_m"}`

Example

`"16.5Ω"=("6.6V"/"0.3A")-"5.5Ω"`

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Multiplier Resistance of PMMC based Voltmeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Multiplier Resistance = (Voltage/Full Scale Deflection Current)-Meter Internal Resistance
R_s = (V/I_f)-R_{i_m}
This formula uses 4 Variables

Variables Used

Multiplier Resistance - (Measured in Ohm) - Multiplier Resistance is the value of series resistance attached to the pmmc-based voltmeter.
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.
Full Scale Deflection Current - (Measured in Ampere) - Full Scale Deflection Current is the maximum current that an instrument can measure, causing its pointer or display to reach the highest position on its scale.
Meter Internal Resistance - (Measured in Ohm) - Meter Internal Resistance refers to the inherent resistance present within a measuring instrument.

STEP 1: Convert Input(s) to Base Unit

Voltage: 6.6 Volt --> 6.6 Volt No Conversion Required
Full Scale Deflection Current: 0.3 Ampere --> 0.3 Ampere No Conversion Required
Meter Internal Resistance: 5.5 Ohm --> 5.5 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_s = (V/I_f)-R_{i_m} --> (6.6/0.3)-5.5

Evaluating ... ...

R_s = 16.5

STEP 3: Convert Result to Output's Unit

16.5 Ohm --> No Conversion Required

FINAL ANSWER

16.5 Ohm <-- Multiplier Resistance

(Calculation completed in 00.004 seconds)

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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

Multiplier Resistance of PMMC based Voltmeter Formula

Multiplier Resistance = (Voltage/Full Scale Deflection Current)-Meter Internal Resistance
R_s = (V/I_f)-R_{i_m}

What is PMMC?

PMMC stands for Permanent Magnet Moving Coil. The instruments which use the permanent magnet for creating the stationary magnetic field between which the coil moves are known as permanent magnet moving coil or PMMC instruments.

What is Voltage Multiplier?

Voltmeter multipliers are PMMC based voltmeters that have a resistance connected in series. It limits the current through the meter and does not allow the value to exceed set value for a full-scale deflection. This protects the meter from damage.

How to Calculate Multiplier Resistance of PMMC based Voltmeter?

Multiplier Resistance of PMMC based Voltmeter calculator uses Multiplier Resistance = (Voltage/Full Scale Deflection Current)-Meter Internal Resistance to calculate the Multiplier Resistance, The Multiplier Resistance of PMMC based Voltmeter formula is defined as the resistor connected in series with the meter coil to extend its measurement range while maintaining sensitivity. Multiplier Resistance is denoted by R_s symbol.

How to calculate Multiplier Resistance of PMMC based Voltmeter using this online calculator? To use this online calculator for Multiplier Resistance of PMMC based Voltmeter, enter Voltage (V), Full Scale Deflection Current (I_f) & Meter Internal Resistance (R_{i_m}) and hit the calculate button. Here is how the Multiplier Resistance of PMMC based Voltmeter calculation can be explained with given input values -> 15.79032 = (6.6/0.3)-5.5.

FAQ

What is Multiplier Resistance of PMMC based Voltmeter?

The Multiplier Resistance of PMMC based Voltmeter formula is defined as the resistor connected in series with the meter coil to extend its measurement range while maintaining sensitivity and is represented as R_s = (V/I_f)-R_{i_m} or Multiplier Resistance = (Voltage/Full Scale Deflection Current)-Meter Internal Resistance. 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, Full Scale Deflection Current is the maximum current that an instrument can measure, causing its pointer or display to reach the highest position on its scale & Meter Internal Resistance refers to the inherent resistance present within a measuring instrument.

How to calculate Multiplier Resistance of PMMC based Voltmeter?

The Multiplier Resistance of PMMC based Voltmeter formula is defined as the resistor connected in series with the meter coil to extend its measurement range while maintaining sensitivity is calculated using Multiplier Resistance = (Voltage/Full Scale Deflection Current)-Meter Internal Resistance. To calculate Multiplier Resistance of PMMC based Voltmeter, you need Voltage (V), Full Scale Deflection Current (I_f) & Meter Internal Resistance (R_{i_m}). With our tool, you need to enter the respective value for Voltage, Full Scale Deflection Current & Meter Internal Resistance 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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