Unknown Resistance in Anderson Bridge Calculator

✖Known Resistance 2 in Anderson Bridge refers to the non-inductive resistance whose value is known and is used to balance the bridge.ⓘ Known Resistance 2 in Anderson Bridge [R_2(ab)]			+10% -10%
✖Known Resistance 3 in Anderson Bridge refers to the non-inductive resistance whose value is known and is used to balance the bridge.ⓘ Known Resistance 3 in Anderson Bridge [R_3(ab)]			+10% -10%
✖Known Resistance 4 in Anderson Bridge refers to the non-inductive resistance whose value is known and is used to balance the bridge.ⓘ Known Resistance 4 in Anderson Bridge [R_4(ab)]			+10% -10%
✖Series Resistance in Anderson Bridge refers to the inherent resistance connected in series with the unknown inductor.ⓘ Series Resistance in Anderson Bridge [r_1(ab)]			+10% -10%

✖Inductor Resistance in Anderson Bridge is a component that is present in the unknown inductor.ⓘ Unknown Resistance in Anderson Bridge [R_1(ab)]

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Formula

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Unknown Resistance in Anderson Bridge

Formula

`"R"_{"1(ab)"} = (("R"_{"2(ab)"}*"R"_{"3(ab)"})/"R"_{"4(ab)"})-"r"_{"1(ab)"}`

Example

`"2.166667Ω"=(("20Ω"*"50Ω")/"150Ω")-"4.5Ω"`

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Unknown Resistance in Anderson Bridge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inductor Resistance in Anderson Bridge = ((Known Resistance 2 in Anderson Bridge*Known Resistance 3 in Anderson Bridge)/Known Resistance 4 in Anderson Bridge)-Series Resistance in Anderson Bridge
R_1(ab) = ((R_2(ab)*R_3(ab))/R_4(ab))-r_1(ab)
This formula uses 5 Variables

Variables Used

Inductor Resistance in Anderson Bridge - (Measured in Ohm) - Inductor Resistance in Anderson Bridge is a component that is present in the unknown inductor.
Known Resistance 2 in Anderson Bridge - (Measured in Ohm) - Known Resistance 2 in Anderson Bridge refers to the non-inductive resistance whose value is known and is used to balance the bridge.
Known Resistance 3 in Anderson Bridge - (Measured in Ohm) - Known Resistance 3 in Anderson Bridge refers to the non-inductive resistance whose value is known and is used to balance the bridge.
Known Resistance 4 in Anderson Bridge - (Measured in Ohm) - Known Resistance 4 in Anderson Bridge refers to the non-inductive resistance whose value is known and is used to balance the bridge.
Series Resistance in Anderson Bridge - (Measured in Ohm) - Series Resistance in Anderson Bridge refers to the inherent resistance connected in series with the unknown inductor.

STEP 1: Convert Input(s) to Base Unit

Known Resistance 2 in Anderson Bridge: 20 Ohm --> 20 Ohm No Conversion Required
Known Resistance 3 in Anderson Bridge: 50 Ohm --> 50 Ohm No Conversion Required
Known Resistance 4 in Anderson Bridge: 150 Ohm --> 150 Ohm No Conversion Required
Series Resistance in Anderson Bridge: 4.5 Ohm --> 4.5 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_1(ab) = ((R_2(ab)*R_3(ab))/R_4(ab))-r_1(ab) --> ((20*50)/150)-4.5

Evaluating ... ...

R_1(ab) = 2.16666666666667

STEP 3: Convert Result to Output's Unit

2.16666666666667 Ohm --> No Conversion Required

FINAL ANSWER

2.16666666666667 ≈ 2.166667 Ohm <-- Inductor Resistance in Anderson Bridge

(Calculation completed in 00.004 seconds)

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< 3 Anderson Bridge Calculators

Unknown Inductance in Anderson Bridge

Go Unknown Inductance in Anderson Bridge = Capacitance in Anderson Bridge*(Known Resistance 3 in Anderson Bridge/Known Resistance 4 in Anderson Bridge)*((Series Resistance in Anderson Bridge*(Known Resistance 4 in Anderson Bridge+Known Resistance 3 in Anderson Bridge))+(Known Resistance 2 in Anderson Bridge*Known Resistance 4 in Anderson Bridge))

Unknown Resistance in Anderson Bridge

Go Inductor Resistance in Anderson Bridge = ((Known Resistance 2 in Anderson Bridge*Known Resistance 3 in Anderson Bridge)/Known Resistance 4 in Anderson Bridge)-Series Resistance in Anderson Bridge

Capacitor Current in Anderson Bridge

Go Capacitor Current in Anderson Bridge = Inductor Current in Anderson Bridge*Angular Frequency*Capacitance in Anderson Bridge*Known Resistance 3 in Anderson Bridge

Unknown Resistance in Anderson Bridge Formula

What are the advantages of Anderson Bridge?

Anderson Bridge is a versatile and reliable structural system that offers several advantages. It has a simple and efficient design, making it easy to construct and maintain. Its parabolic shape allows for long clear spans, reducing the number of piers required. Additionally, the bridge's composite design provides excellent durability and resistance to corrosion.

How to Calculate Unknown Resistance in Anderson Bridge?

Unknown Resistance in Anderson Bridge calculator uses Inductor Resistance in Anderson Bridge = ((Known Resistance 2 in Anderson Bridge*Known Resistance 3 in Anderson Bridge)/Known Resistance 4 in Anderson Bridge)-Series Resistance in Anderson Bridge to calculate the Inductor Resistance in Anderson Bridge, The Unknown Resistance in Anderson Bridge formula refers to the inherent resistance component that is present in the unknown inductor. The resistance of the self-inductor affects the overall impedance of the unknown inductance arm in the Anderson Bridge. This resistance value needs to be taken into consideration to accurately determine the value of the unknown inductor. Inductor Resistance in Anderson Bridge is denoted by R_1(ab) symbol.

How to calculate Unknown Resistance in Anderson Bridge using this online calculator? To use this online calculator for Unknown Resistance in Anderson Bridge, enter Known Resistance 2 in Anderson Bridge (R_2(ab)), Known Resistance 3 in Anderson Bridge (R_3(ab)), Known Resistance 4 in Anderson Bridge (R_4(ab)) & Series Resistance in Anderson Bridge (r_1(ab)) and hit the calculate button. Here is how the Unknown Resistance in Anderson Bridge calculation can be explained with given input values -> 2.166667 = ((20*50)/150)-4.5.

FAQ

What is Unknown Resistance in Anderson Bridge?

The Unknown Resistance in Anderson Bridge formula refers to the inherent resistance component that is present in the unknown inductor. The resistance of the self-inductor affects the overall impedance of the unknown inductance arm in the Anderson Bridge. This resistance value needs to be taken into consideration to accurately determine the value of the unknown inductor and is represented as R_1(ab) = ((R_2(ab)*R_3(ab))/R_4(ab))-r_1(ab) or Inductor Resistance in Anderson Bridge = ((Known Resistance 2 in Anderson Bridge*Known Resistance 3 in Anderson Bridge)/Known Resistance 4 in Anderson Bridge)-Series Resistance in Anderson Bridge. Known Resistance 2 in Anderson Bridge refers to the non-inductive resistance whose value is known and is used to balance the bridge, Known Resistance 3 in Anderson Bridge refers to the non-inductive resistance whose value is known and is used to balance the bridge, Known Resistance 4 in Anderson Bridge refers to the non-inductive resistance whose value is known and is used to balance the bridge & Series Resistance in Anderson Bridge refers to the inherent resistance connected in series with the unknown inductor.

How to calculate Unknown Resistance in Anderson Bridge?

The Unknown Resistance in Anderson Bridge formula refers to the inherent resistance component that is present in the unknown inductor. The resistance of the self-inductor affects the overall impedance of the unknown inductance arm in the Anderson Bridge. This resistance value needs to be taken into consideration to accurately determine the value of the unknown inductor is calculated using Inductor Resistance in Anderson Bridge = ((Known Resistance 2 in Anderson Bridge*Known Resistance 3 in Anderson Bridge)/Known Resistance 4 in Anderson Bridge)-Series Resistance in Anderson Bridge. To calculate Unknown Resistance in Anderson Bridge, you need Known Resistance 2 in Anderson Bridge (R_2(ab)), Known Resistance 3 in Anderson Bridge (R_3(ab)), Known Resistance 4 in Anderson Bridge (R_4(ab)) & Series Resistance in Anderson Bridge (r_1(ab)). With our tool, you need to enter the respective value for Known Resistance 2 in Anderson Bridge, Known Resistance 3 in Anderson Bridge, Known Resistance 4 in Anderson Bridge & Series Resistance in Anderson Bridge 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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