Unknown Inductance in Hay Bridge Calculator

✖Known Resistance 2 in Hay Bridge refers to the non-inductive resistor whose value is known and is varied in the bridge circuit.ⓘ Known Resistance 2 in Hay Bridge [R_2(hay)]			+10% -10%
✖Known Resistance 3 in Hay Bridge refers to the non-inductive resistor whose value is known and is varied in the bridge circuit.ⓘ Known Resistance 3 in Hay Bridge [R_3(hay)]			+10% -10%
✖Capacitance in Hay Bridge refers to the capacitance connected in series with non-inductive resistance whose value is known and is varied in the bridge circuit.ⓘ Capacitance in Hay Bridge [C_4(hay)]			+10% -10%
✖Angular Frequency relates to the rate at which an object or system oscillates or rotates in circular motion.ⓘ Angular Frequency [ω]			+10% -10%
✖Known Resistance 4 in Hay Bridge refers to the capacitive resistor whose value is known and is varied in the bridge circuit.ⓘ Known Resistance 4 in Hay Bridge [R_4(hay)]			+10% -10%

✖Unknown Inductance in Hay Bridge refers to the inductor whose value is to be measured using the bridge circuit.ⓘ Unknown Inductance in Hay Bridge [L_1(hay)]

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Formula

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Unknown Inductance in Hay Bridge

Formula

`"L"_{"1(hay)"} = ("R"_{"2(hay)"}*"R"_{"3(hay)"}*"C"_{"4(hay)"})/(1+"ω"^2*"C"_{"4(hay)"}^2*"R"_{"4(hay)"}^2)`

Example

`"109.4288mH"=("32Ω"*"34.5Ω"*"260μF")/(1+("200rad/s")^2*("260μF")^2*("24.5Ω")^2)`

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Unknown Inductance in Hay Bridge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unknown Inductance in Hay Bridge = (Known Resistance 2 in Hay Bridge*Known Resistance 3 in Hay Bridge*Capacitance in Hay Bridge)/(1+Angular Frequency^2*Capacitance in Hay Bridge^2*Known Resistance 4 in Hay Bridge^2)
L_1(hay) = (R_2(hay)*R_3(hay)*C_4(hay))/(1+ω^2*C_4(hay)^2*R_4(hay)^2)
This formula uses 6 Variables

Variables Used

Unknown Inductance in Hay Bridge - (Measured in Henry) - Unknown Inductance in Hay Bridge refers to the inductor whose value is to be measured using the bridge circuit.
Known Resistance 2 in Hay Bridge - (Measured in Ohm) - Known Resistance 2 in Hay Bridge refers to the non-inductive resistor whose value is known and is varied in the bridge circuit.
Known Resistance 3 in Hay Bridge - (Measured in Ohm) - Known Resistance 3 in Hay Bridge refers to the non-inductive resistor whose value is known and is varied in the bridge circuit.
Capacitance in Hay Bridge - (Measured in Farad) - Capacitance in Hay Bridge refers to the capacitance connected in series with non-inductive resistance whose value is known and is varied in the bridge circuit.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency relates to the rate at which an object or system oscillates or rotates in circular motion.
Known Resistance 4 in Hay Bridge - (Measured in Ohm) - Known Resistance 4 in Hay Bridge refers to the capacitive resistor whose value is known and is varied in the bridge circuit.

STEP 1: Convert Input(s) to Base Unit

Known Resistance 2 in Hay Bridge: 32 Ohm --> 32 Ohm No Conversion Required
Known Resistance 3 in Hay Bridge: 34.5 Ohm --> 34.5 Ohm No Conversion Required
Capacitance in Hay Bridge: 260 Microfarad --> 0.00026 Farad (Check conversion here)
Angular Frequency: 200 Radian per Second --> 200 Radian per Second No Conversion Required
Known Resistance 4 in Hay Bridge: 24.5 Ohm --> 24.5 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_1(hay) = (R_2(hay)*R_3(hay)*C_4(hay))/(1+ω^2*C_4(hay)^2*R_4(hay)^2) --> (32*34.5*0.00026)/(1+200^2*0.00026^2*24.5^2)

Evaluating ... ...

L_1(hay) = 0.109428777511593

STEP 3: Convert Result to Output's Unit

0.109428777511593 Henry -->109.428777511593 Millihenry (Check conversion here)

FINAL ANSWER

109.428777511593 ≈ 109.4288 Millihenry <-- Unknown Inductance in Hay Bridge

(Calculation completed in 00.020 seconds)

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

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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Birsa Institute of Technology (BIT), Sindri

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< 3 Hay Bridge Calculators

Unknown Resistance of Hay Bridge

Go Unknown Resistance in Hay Bridge = (Angular Frequency^2*Known Resistance 2 in Hay Bridge*Known Resistance 3 in Hay Bridge*Known Resistance 4 in Hay Bridge*Capacitance in Hay Bridge^2)/(1+(Angular Frequency^2*Known Resistance 4 in Hay Bridge^2*Capacitance in Hay Bridge^2))

Unknown Inductance in Hay Bridge

Go Unknown Inductance in Hay Bridge = (Known Resistance 2 in Hay Bridge*Known Resistance 3 in Hay Bridge*Capacitance in Hay Bridge)/(1+Angular Frequency^2*Capacitance in Hay Bridge^2*Known Resistance 4 in Hay Bridge^2)

Quality Factor of Hay Bridge using Capacitance

Go Quality Factor in Hay Bridge = 1/(Capacitance in Hay Bridge*Known Resistance 4 in Hay Bridge*Angular Frequency)

Unknown Inductance in Hay Bridge Formula

What is the range of measurement of inductance in Hay Bridge?

Hay Bridge is a type of AC bridge circuit that is used to measure the self-inductance of a coil with a high-quality factor (Q > 10).The range of measurement of inductance in Hay Bridge can vary depending on the specific application and design requirements.

How to Calculate Unknown Inductance in Hay Bridge?

Unknown Inductance in Hay Bridge calculator uses Unknown Inductance in Hay Bridge = (Known Resistance 2 in Hay Bridge*Known Resistance 3 in Hay Bridge*Capacitance in Hay Bridge)/(1+Angular Frequency^2*Capacitance in Hay Bridge^2*Known Resistance 4 in Hay Bridge^2) to calculate the Unknown Inductance in Hay Bridge, The Unknown Inductance in Hay Bridge formula refers to the inductor whose value is to be measured using the bridge circuit. The Hay Bridge is a modified form of the Wheatstone Bridge that is specifically used for measuring the inductance of an unknown inductor by achieving balance in the bridge circuit and comparing the ratios of impedances. Unknown Inductance in Hay Bridge is denoted by L_1(hay) symbol.

How to calculate Unknown Inductance in Hay Bridge using this online calculator? To use this online calculator for Unknown Inductance in Hay Bridge, enter Known Resistance 2 in Hay Bridge (R_2(hay)), Known Resistance 3 in Hay Bridge (R_3(hay)), Capacitance in Hay Bridge (C_4(hay)), Angular Frequency (ω) & Known Resistance 4 in Hay Bridge (R_4(hay)) and hit the calculate button. Here is how the Unknown Inductance in Hay Bridge calculation can be explained with given input values -> 109428.8 = (32*34.5*0.00026)/(1+200^2*0.00026^2*24.5^2).

FAQ

What is Unknown Inductance in Hay Bridge?

The Unknown Inductance in Hay Bridge formula refers to the inductor whose value is to be measured using the bridge circuit. The Hay Bridge is a modified form of the Wheatstone Bridge that is specifically used for measuring the inductance of an unknown inductor by achieving balance in the bridge circuit and comparing the ratios of impedances and is represented as L_1(hay) = (R_2(hay)*R_3(hay)*C_4(hay))/(1+ω^2*C_4(hay)^2*R_4(hay)^2) or Unknown Inductance in Hay Bridge = (Known Resistance 2 in Hay Bridge*Known Resistance 3 in Hay Bridge*Capacitance in Hay Bridge)/(1+Angular Frequency^2*Capacitance in Hay Bridge^2*Known Resistance 4 in Hay Bridge^2). Known Resistance 2 in Hay Bridge refers to the non-inductive resistor whose value is known and is varied in the bridge circuit, Known Resistance 3 in Hay Bridge refers to the non-inductive resistor whose value is known and is varied in the bridge circuit, Capacitance in Hay Bridge refers to the capacitance connected in series with non-inductive resistance whose value is known and is varied in the bridge circuit, Angular Frequency relates to the rate at which an object or system oscillates or rotates in circular motion & Known Resistance 4 in Hay Bridge refers to the capacitive resistor whose value is known and is varied in the bridge circuit.

How to calculate Unknown Inductance in Hay Bridge?

The Unknown Inductance in Hay Bridge formula refers to the inductor whose value is to be measured using the bridge circuit. The Hay Bridge is a modified form of the Wheatstone Bridge that is specifically used for measuring the inductance of an unknown inductor by achieving balance in the bridge circuit and comparing the ratios of impedances is calculated using Unknown Inductance in Hay Bridge = (Known Resistance 2 in Hay Bridge*Known Resistance 3 in Hay Bridge*Capacitance in Hay Bridge)/(1+Angular Frequency^2*Capacitance in Hay Bridge^2*Known Resistance 4 in Hay Bridge^2). To calculate Unknown Inductance in Hay Bridge, you need Known Resistance 2 in Hay Bridge (R_2(hay)), Known Resistance 3 in Hay Bridge (R_3(hay)), Capacitance in Hay Bridge (C_4(hay)), Angular Frequency (ω) & Known Resistance 4 in Hay Bridge (R_4(hay)). With our tool, you need to enter the respective value for Known Resistance 2 in Hay Bridge, Known Resistance 3 in Hay Bridge, Capacitance in Hay Bridge, Angular Frequency & Known Resistance 4 in Hay 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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