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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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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< 9 Permanent Magnet Moving Coil Calculators

Angle of deflection of PMMC

Go Angle of Deflection in Magnetic Coil = (Number of Turns of Magnetic Coil*Flux Density of Coil*Length*Width*Current in Coil)/Spring Constant

Deflecting torque of PMMC instrument

Go Deflecting Torque = Number of Turns of Magnetic Coil*Flux Density of Coil*Length*Width*Current in Coil

Rsh of PMMC based Ammeter

Go Resistance of Shunt = (Full Scale Deflection Current*Internal Resistance of Meter Movement)/(Current-Full Scale Deflection Current)

Resistance at switch position 'n' for multi range Ammeter

Go Resistance at nth Switch Position = (Resistance at Switch Position 1+Internal Resistance of Meter Movement)/Nth Multiplying Factor

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

Nth resistance in multi-range Ammeter

Go Nth Multiplier Resistance = Internal Resistance of Meter Movement/(Nth Multiplying Factor-1)

m of PMMC based voltmeter

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

m of PMMC based Ammeter

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

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.

How many ways are there to calculate Nth Multiplier Resistance?

In this formula, Nth Multiplier Resistance uses Nth Multiplying Factor, (n-1)th Multiplying Factor & Internal Resistance of Meter Movement. We can use 1 other way(s) to calculate the same, which is/are as follows -

Nth Multiplier Resistance = Internal Resistance of Meter Movement/(Nth Multiplying Factor-1)

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