Unknown Inductance in Anderson Bridge Calculator

✖Capacitance in Anderson Bridge refers to the value of the capacitor used in the bridge circuit. The capacitance in the Anderson Bridge is a known value.ⓘ Capacitance in Anderson Bridge [C_(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%
✖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%

✖Unknown Inductance in Anderson Bridge refers to the inherent property of an inductor to oppose changes in the flow of current through it.ⓘ Unknown Inductance in Anderson Bridge [L_1(ab)]

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Formula

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Unknown Inductance in Anderson Bridge

Formula

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

Example

`"546mH"="420μF"*("50Ω"/"150Ω")*(("4.5Ω"*("150Ω"+"50Ω"))+("20Ω"*"150Ω"))`

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Unknown Inductance in Anderson Bridge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
L_1(ab) = C_(ab)*(R_3(ab)/R_4(ab))*((r_1(ab)*(R_4(ab)+R_3(ab)))+(R_2(ab)*R_4(ab)))
This formula uses 6 Variables

Variables Used

Unknown Inductance in Anderson Bridge - (Measured in Henry) - Unknown Inductance in Anderson Bridge refers to the inherent property of an inductor to oppose changes in the flow of current through it.
Capacitance in Anderson Bridge - (Measured in Farad) - Capacitance in Anderson Bridge refers to the value of the capacitor used in the bridge circuit. The capacitance in the Anderson Bridge is a known value.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Capacitance in Anderson Bridge: 420 Microfarad --> 0.00042 Farad (Check conversion here)
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
Known Resistance 2 in Anderson Bridge: 20 Ohm --> 20 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_1(ab) = C_(ab)*(R_3(ab)/R_4(ab))*((r_1(ab)*(R_4(ab)+R_3(ab)))+(R_2(ab)*R_4(ab))) --> 0.00042*(50/150)*((4.5*(150+50))+(20*150))

Evaluating ... ...

L_1(ab) = 0.546

STEP 3: Convert Result to Output's Unit

0.546 Henry -->546 Millihenry (Check conversion here)

FINAL ANSWER

546 Millihenry <-- Unknown Inductance in Anderson Bridge

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics and Instrumentation » Measuring Instrument Circuits » Bridge Circuits » AC Bridge Circuits » Anderson Bridge » Unknown Inductance in Anderson Bridge

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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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 Inductance in Anderson Bridge Formula

What is balance equation for calculating the inductance in Anderson bridge?

The current I1 is passing through arm AB i.e., through non-inductive resistance R1 and inductor L1. Thus the total drop V1 in arm AB is I1 (R1 + r1) (which is in phase with I1) and I1 ωL1. When the bridge is balanced the same current will also pass through R3 (in arm BC) i.e., I1 = I3. This equation can be used to measure the inductance of a unknown coil using the Anderson bridge method.

How to Calculate Unknown Inductance in Anderson Bridge?

Unknown Inductance in Anderson Bridge calculator uses 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)) to calculate the Unknown Inductance in Anderson Bridge, The Unknown Inductance in Anderson Bridge formula refers to the inherent property of an inductor to oppose changes in the flow of current through it. The self inductance of the unknown inductor plays a significant role in the operation of the Anderson Bridge. It influences the impedance and the balance condition of the bridge circuit. Unknown Inductance in Anderson Bridge is denoted by L_1(ab) symbol.

How to calculate Unknown Inductance in Anderson Bridge using this online calculator? To use this online calculator for Unknown Inductance in Anderson Bridge, enter Capacitance in Anderson Bridge (C_(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)) & Known Resistance 2 in Anderson Bridge (R_2(ab)) and hit the calculate button. Here is how the Unknown Inductance in Anderson Bridge calculation can be explained with given input values -> 546000 = 0.00042*(50/150)*((4.5*(150+50))+(20*150)).

FAQ

What is Unknown Inductance in Anderson Bridge?

The Unknown Inductance in Anderson Bridge formula refers to the inherent property of an inductor to oppose changes in the flow of current through it. The self inductance of the unknown inductor plays a significant role in the operation of the Anderson Bridge. It influences the impedance and the balance condition of the bridge circuit and is represented as L_1(ab) = C_(ab)*(R_3(ab)/R_4(ab))*((r_1(ab)*(R_4(ab)+R_3(ab)))+(R_2(ab)*R_4(ab))) or 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)). Capacitance in Anderson Bridge refers to the value of the capacitor used in the bridge circuit. The capacitance in the Anderson Bridge is a known value, 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 & Known Resistance 2 in Anderson Bridge refers to the non-inductive resistance whose value is known and is used to balance the bridge.

How to calculate Unknown Inductance in Anderson Bridge?

The Unknown Inductance in Anderson Bridge formula refers to the inherent property of an inductor to oppose changes in the flow of current through it. The self inductance of the unknown inductor plays a significant role in the operation of the Anderson Bridge. It influences the impedance and the balance condition of the bridge circuit is calculated using 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)). To calculate Unknown Inductance in Anderson Bridge, you need Capacitance in Anderson Bridge (C_(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)) & Known Resistance 2 in Anderson Bridge (R_2(ab)). With our tool, you need to enter the respective value for Capacitance 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 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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