Nth resistance in multi-range Ammeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Nth Multiplier Resistance = Internal Resistance of Meter Movement/(Nth Multiplying Factor-1)
Rsn = Rm/(mn-1)
This formula uses 3 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.
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.
Nth Multiplying Factor - Nth Multiplying Factor is the multiplying power of coil associated with the nth resistor in multi range ammeter.
STEP 1: Convert Input(s) to Base Unit
Internal Resistance of Meter Movement: 5.5 Ohm --> 5.5 Ohm No Conversion Required
Nth Multiplying Factor: 5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rsn = Rm/(mn-1) --> 5.5/(5-1)
Evaluating ... ...
Rsn = 1.375
STEP 3: Convert Result to Output's Unit
1.375 Ohm --> No Conversion Required
FINAL ANSWER
1.375 Ohm <-- Nth Multiplier Resistance
(Calculation completed in 00.004 seconds)

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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 Ammeter Formula

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

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 Ammeter?

The basic idea of a multirange ammeter is to make the meter usable over a wide range of voltages. In order to accomplish this, each range must utilize a different shunt resistance.

How to Calculate Nth resistance in multi-range Ammeter?

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

How to calculate Nth resistance in multi-range Ammeter using this online calculator? To use this online calculator for Nth resistance in multi-range Ammeter, enter Internal Resistance of Meter Movement (Rm) & Nth Multiplying Factor (mn) and hit the calculate button. Here is how the Nth resistance in multi-range Ammeter calculation can be explained with given input values -> 1.375 = 5.5/(5-1).

FAQ

What is Nth resistance in multi-range Ammeter?
The Nth resistance in multi-range Ammeter calculates the value of Rₙ for its specified mₙ, used for range extension and is represented as Rsn = Rm/(mn-1) or Nth Multiplier Resistance = Internal Resistance of Meter Movement/(Nth Multiplying Factor-1). 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 & Nth Multiplying Factor is the multiplying power of coil associated with the nth resistor in multi range ammeter.
How to calculate Nth resistance in multi-range Ammeter?
The Nth resistance in multi-range Ammeter calculates the value of Rₙ for its specified mₙ, used for range extension is calculated using Nth Multiplier Resistance = Internal Resistance of Meter Movement/(Nth Multiplying Factor-1). To calculate Nth resistance in multi-range Ammeter, you need Internal Resistance of Meter Movement (Rm) & Nth Multiplying Factor (mn). With our tool, you need to enter the respective value for Internal Resistance of Meter Movement & Nth Multiplying Factor 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 Internal Resistance of Meter Movement & Nth Multiplying Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Nth Multiplier Resistance = (Nth Multiplying Factor-(n-1)th Multiplying Factor)*Internal Resistance of Meter Movement
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