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Unknown Inductance in Anderson Bridge Formula

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Unknown Inductance in Anderson Bridge refers to the inherent property of an inductor to oppose changes in the flow of current through it. Check FAQs

L 1(ab) = C (ab) \cdot (\frac{R 3(ab)}{R 4(ab)}) \cdot ((r 1(ab) \cdot (R 4(ab) + R 3(ab))) + (R 2(ab) \cdot R 4(ab)))

L_1(ab) - Unknown Inductance in Anderson Bridge?C_(ab) - Capacitance in Anderson Bridge?R_3(ab) - Known Resistance 3 in Anderson Bridge?R_4(ab) - Known Resistance 4 in Anderson Bridge?r_1(ab) - Series Resistance in Anderson Bridge?R_2(ab) - Known Resistance 2 in Anderson Bridge?

Unknown Inductance in Anderson Bridge Example

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Here is how the Unknown Inductance in Anderson Bridge equation looks like with Values.

Here is how the Unknown Inductance in Anderson Bridge equation looks like with Units.

Here is how the Unknown Inductance in Anderson Bridge equation looks like.

546 = 420 \cdot (\frac{50}{150}) \cdot ((4.5 \cdot (150 + 50)) + (20 \cdot 150))

546mH = 420μF \cdot (\frac{50Ω}{150Ω}) \cdot ((4.5Ω \cdot (150Ω + 50Ω)) + (20Ω \cdot 150Ω))

546 = 420 \cdot (\frac{50}{150}) \cdot ((4.5 \cdot (150 + 50)) + (20 \cdot 150))

Tip: Use pencil () icon above to edit Input Values and Units.

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Unknown Inductance in Anderson Bridge Solution

Follow our step by step solution on how to calculate Unknown Inductance in Anderson Bridge?

FIRST Step Consider the formula

L 1(ab) = C (ab) \cdot (\frac{R 3(ab)}{R 4(ab)}) \cdot ((r 1(ab) \cdot (R 4(ab) + R 3(ab))) + (R 2(ab) \cdot R 4(ab)))

Next Step Substitute values of Variables

∴

L 1(ab) = 420μF \cdot (\frac{50Ω}{150Ω}) \cdot ((4.5Ω \cdot (150Ω + 50Ω)) + (20Ω \cdot 150Ω))

Next Step Convert Units

∴

L 1(ab) = 0.0004F \cdot (\frac{50Ω}{150Ω}) \cdot ((4.5Ω \cdot (150Ω + 50Ω)) + (20Ω \cdot 150Ω))

Next Step Prepare to Evaluate

∴

L 1(ab) = 0.0004 \cdot (\frac{50}{150}) \cdot ((4.5 \cdot (150 + 50)) + (20 \cdot 150))

Next Step Evaluate

∴

L 1(ab) = 0.546H

LAST Step Convert to Output's Unit

∴

L 1(ab) = 546mH

Unknown Inductance in Anderson Bridge Formula Elements

Variables

Unknown Inductance in Anderson Bridge

Unknown Inductance in Anderson Bridge refers to the inherent property of an inductor to oppose changes in the flow of current through it.

Symbol: L_1(ab)

Measurement: InductanceUnit: mH

Note: Value should be greater than 0.

Capacitance 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.

Symbol: C_(ab)

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Known Resistance 3 in Anderson Bridge

Known Resistance 3 in Anderson Bridge refers to the non-inductive resistance whose value is known and is used to balance the bridge.

Symbol: R_3(ab)

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Known Resistance 4 in Anderson Bridge

Known Resistance 4 in Anderson Bridge refers to the non-inductive resistance whose value is known and is used to balance the bridge.

Symbol: R_4(ab)

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Series Resistance in Anderson Bridge

Series Resistance in Anderson Bridge refers to the inherent resistance connected in series with the unknown inductor.

Symbol: r_1(ab)

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Known Resistance 2 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.

Symbol: R_2(ab)

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Credits

Creator Image

Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Formula and 100+ more formulas!

Verifier Image

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Formula and 1900+ more formulas!

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Go Unknown Resistance in Anderson Bridge

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I c(ab) = I 1(ab) \cdot ω \cdot C (ab) \cdot R 3(ab)

How to Evaluate Unknown Inductance in Anderson Bridge?

Unknown Inductance in Anderson Bridge evaluator 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 evaluate 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 evaluate Unknown Inductance in Anderson Bridge using this online evaluator? To use this online evaluator 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.

FAQs on Unknown Inductance in Anderson Bridge

What is the formula to find Unknown Inductance in Anderson Bridge?

The formula of Unknown Inductance in Anderson Bridge is expressed as 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)). Here is an example- 546000 = 0.00042*(50/150)*((4.5*(150+50))+(20*150)).

How to calculate Unknown Inductance in Anderson Bridge?

With 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)) we can find Unknown Inductance in Anderson Bridge using the formula - 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)).

Can the Unknown Inductance in Anderson Bridge be negative?

No, the Unknown Inductance in Anderson Bridge, measured in Inductance cannot be negative.

Which unit is used to measure Unknown Inductance in Anderson Bridge?

Unknown Inductance in Anderson Bridge is usually measured using the Millihenry[mH] for Inductance. Henry[mH], Microhenry[mH] are the few other units in which Unknown Inductance in Anderson Bridge can be measured.

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