Resistance at switch position 'n' for multi range Ammeter Calculator

✖Resistance at Switch Position 1 is the value of the first shunt resistance in the multi range ammeter setup.ⓘ Resistance at Switch Position 1 [R₁]			+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 Multiplying Factor is the multiplying power of coil associated with the nth resistor in multi range ammeter.ⓘ Nth Multiplying Factor [m_n]			+10% -10%

✖Resistance at nth Switch Position is the nth number of resistances in multirange permanent magnet moving coil ammeter.ⓘ Resistance at switch position 'n' for multi range Ammeter [R_n]

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Formula

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Resistance at switch position 'n' for multi range Ammeter

Formula

`"R"_{"n"} = ("R"_{"1"}+"R"_{"m"})/"m"_{"n"}`

Example

`"25.1Ω"=("120Ω"+"5.5Ω")/"5"`

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Resistance at switch position 'n' for multi range Ammeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resistance at nth Switch Position = (Resistance at Switch Position 1+Internal Resistance of Meter Movement)/Nth Multiplying Factor
R_n = (R₁+R_m)/m_n
This formula uses 4 Variables

Variables Used

Resistance at nth Switch Position - (Measured in Ohm) - Resistance at nth Switch Position is the nth number of resistances in multirange permanent magnet moving coil ammeter.
Resistance at Switch Position 1 - (Measured in Ohm) - Resistance at Switch Position 1 is the value of the first shunt resistance in the multi range ammeter setup.
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

Resistance at Switch Position 1: 120 Ohm --> 120 Ohm No Conversion Required
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

R_n = (R₁+R_m)/m_n --> (120+5.5)/5

Evaluating ... ...

R_n = 25.1

STEP 3: Convert Result to Output's Unit

25.1 Ohm --> No Conversion Required

FINAL ANSWER

25.1 Ohm <-- Resistance at nth Switch Position

(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

Resistance at switch position 'n' for multi range Ammeter Formula

Resistance at nth Switch Position = (Resistance at Switch Position 1+Internal Resistance of Meter Movement)/Nth Multiplying Factor
R_n = (R₁+R_m)/m_n

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 is known as the permanent magnet moving coil or PMMC instrument

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 Resistance at switch position 'n' for multi range Ammeter?

Resistance at switch position 'n' for multi range Ammeter calculator uses Resistance at nth Switch Position = (Resistance at Switch Position 1+Internal Resistance of Meter Movement)/Nth Multiplying Factor to calculate the Resistance at nth Switch Position, The Resistance at switch position 'n' for multi range Ammeter will give the effective working resistance for coil at switch position 'n'. Resistance at nth Switch Position is denoted by R_n symbol.

How to calculate Resistance at switch position 'n' for multi range Ammeter using this online calculator? To use this online calculator for Resistance at switch position 'n' for multi range Ammeter, enter Resistance at Switch Position 1 (R₁), Internal Resistance of Meter Movement (R_m) & Nth Multiplying Factor (m_n) and hit the calculate button. Here is how the Resistance at switch position 'n' for multi range Ammeter calculation can be explained with given input values -> 25.1 = (120+5.5)/5.

FAQ

What is Resistance at switch position 'n' for multi range Ammeter?

The Resistance at switch position 'n' for multi range Ammeter will give the effective working resistance for coil at switch position 'n' and is represented as R_n = (R₁+R_m)/m_n or Resistance at nth Switch Position = (Resistance at Switch Position 1+Internal Resistance of Meter Movement)/Nth Multiplying Factor. Resistance at Switch Position 1 is the value of the first shunt resistance in the multi range ammeter setup, 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 Resistance at switch position 'n' for multi range Ammeter?

The Resistance at switch position 'n' for multi range Ammeter will give the effective working resistance for coil at switch position 'n' is calculated using Resistance at nth Switch Position = (Resistance at Switch Position 1+Internal Resistance of Meter Movement)/Nth Multiplying Factor. To calculate Resistance at switch position 'n' for multi range Ammeter, you need Resistance at Switch Position 1 (R₁), Internal Resistance of Meter Movement (R_m) & Nth Multiplying Factor (m_n). With our tool, you need to enter the respective value for Resistance at Switch Position 1, 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.

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