Nth resistance in multi-range voltmeter Calculator

✖Nth Multiplying Factor is the multiplying power of coil associated with the nth resistor in multi range ammeter.ⓘ Nth Multiplying Factor [m_n]			+10% -10%
✖(n-1)th Multiplying Factor gives the value of multiplying power that is effective for the (n-1)th resistance in series.ⓘ (n-1)th Multiplying Factor [m_n-1]			+10% -10%
✖Internal Resistance of Meter Movement refers to the opposition offered by the device's coil to the flow of electric current, affecting its sensitivity and accuracy in measuring electrical quantities.ⓘ Internal Resistance of Meter Movement [R_m]			+10% -10%

✖Nth Multiplier Resistance is the nth number of resistance in multirange permanent magnet moving coil ammeter or voltmeter.ⓘ Nth resistance in multi-range voltmeter [R_sn]

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Formula

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Nth resistance in multi-range voltmeter

Formula

`"R"_{"sn"} = ("m"_{"n"}-"m"_{"n-1"})*"R"_{"m"}`

Example

`"11Ω"=("5"-"3")*"5.5Ω"`

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Nth resistance in multi-range voltmeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Nth Multiplier Resistance = (Nth Multiplying Factor-(n-1)th Multiplying Factor)*Internal Resistance of Meter Movement
R_sn = (m_n-m_n-1)*R_m
This formula uses 4 Variables

Variables Used

Nth Multiplier Resistance - (Measured in Ohm) - Nth Multiplier Resistance is the nth number of resistance in multirange permanent magnet moving coil ammeter or voltmeter.
Nth Multiplying Factor - Nth Multiplying Factor is the multiplying power of coil associated with the nth resistor in multi range ammeter.
(n-1)th Multiplying Factor - (n-1)th Multiplying Factor gives the value of multiplying power that is effective for the (n-1)th resistance in series.
Internal Resistance of Meter Movement - (Measured in Ohm) - Internal Resistance of Meter Movement refers to the opposition offered by the device's coil to the flow of electric current, affecting its sensitivity and accuracy in measuring electrical quantities.

STEP 1: Convert Input(s) to Base Unit

Nth Multiplying Factor: 5 --> No Conversion Required
(n-1)th Multiplying Factor: 3 --> No Conversion Required
Internal Resistance of Meter Movement: 5.5 Ohm --> 5.5 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_sn = (m_n-m_n-1)*R_m --> (5-3)*5.5

Evaluating ... ...

R_sn = 11

STEP 3: Convert Result to Output's Unit

11 Ohm --> No Conversion Required

FINAL ANSWER

11 Ohm <-- Nth Multiplier Resistance

(Calculation completed in 00.004 seconds)

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Vellore Institute of Technology (VIT), Vellore

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< 16 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)

Source Voltage

Go Source Voltage = (1/Potential Difference)*(1-exp(-Time/Resistance*Capacitance))

Voltage across Capacitance

Go Potential Difference = Source Voltage*(1-exp(-Time/Resistance*Capacitance))

Voltmeter Resistance

Go Voltmeter Resistance = (Range of Voltmeter-Current Magnitude*Resistance)/Current Magnitude

Nth resistance in multi-range voltmeter

Go Nth Multiplier Resistance = (Nth Multiplying Factor-(n-1)th Multiplying Factor)*Internal Resistance of Meter Movement

Rs of PMMC based voltmeter

Go Multiplier Resistance = (Voltage/Full Scale Deflection Current)-Internal Resistance of Meter Movement

Range of Voltmeter

Go Range of Voltmeter = Current Magnitude*(Voltmeter Resistance+Resistance)

Voltmeter current

Go Current Magnitude = (Range of Voltmeter-Resistance)/Voltmeter Resistance

m of PMMC based voltmeter

Go Multiplying Power = 1+(Multiplier Resistance/Internal Resistance of Meter Movement)

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

Capacitance of Voltmeter

Go Capacitance of Voltmeter = Charge/Capacitance

Nth resistance in multi-range voltmeter Formula

Nth Multiplier Resistance = (Nth Multiplying Factor-(n-1)th Multiplying Factor)*Internal Resistance of Meter Movement
R_sn = (m_n-m_n-1)*R_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 a permanent magnet moving coil or PMMC instruments.

What is multi range voltmeter?

The basic idea of a multi-range voltmeter is to make the meter usable over a wide range of voltages. In order to accomplish this, each range must utilize a different series resistance.

How to Calculate Nth resistance in multi-range voltmeter?

Nth resistance in multi-range voltmeter calculator uses Nth Multiplier Resistance = (Nth Multiplying Factor-(n-1)th Multiplying Factor)*Internal Resistance of Meter Movement to calculate the Nth Multiplier Resistance, The Nth resistance in multi-range voltmeter calculates the value of Rₙ for its specified mₙ, used for range extension. Nth Multiplier Resistance is denoted by R_sn symbol.

How to calculate Nth resistance in multi-range voltmeter using this online calculator? To use this online calculator for Nth resistance in multi-range voltmeter, enter Nth Multiplying Factor (m_n), (n-1)th Multiplying Factor (m_n-1) & Internal Resistance of Meter Movement (R_m) and hit the calculate button. Here is how the Nth resistance in multi-range voltmeter calculation can be explained with given input values -> 11 = (5-3)*5.5.

FAQ

What is Nth resistance in multi-range voltmeter?

The Nth resistance in multi-range voltmeter calculates the value of Rₙ for its specified mₙ, used for range extension and is represented as R_sn = (m_n-m_n-1)*R_m or Nth Multiplier Resistance = (Nth Multiplying Factor-(n-1)th Multiplying Factor)*Internal Resistance of Meter Movement. Nth Multiplying Factor is the multiplying power of coil associated with the nth resistor in multi range ammeter, (n-1)th Multiplying Factor gives the value of multiplying power that is effective for the (n-1)th resistance in series & Internal Resistance of Meter Movement refers to the opposition offered by the device's coil to the flow of electric current, affecting its sensitivity and accuracy in measuring electrical quantities.

How to calculate Nth resistance in multi-range voltmeter?

The Nth resistance in multi-range voltmeter calculates the value of Rₙ for its specified mₙ, used for range extension is calculated using Nth Multiplier Resistance = (Nth Multiplying Factor-(n-1)th Multiplying Factor)*Internal Resistance of Meter Movement. To calculate Nth resistance in multi-range voltmeter, you need Nth Multiplying Factor (m_n), (n-1)th Multiplying Factor (m_n-1) & Internal Resistance of Meter Movement (R_m). With our tool, you need to enter the respective value for Nth Multiplying Factor, (n-1)th Multiplying Factor & Internal Resistance of Meter Movement 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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