FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Unknown Inductance in Hay Bridge Formula

Fx Copy

LaTeX Copy

Unknown Inductance in Hay Bridge refers to the inductor whose value is to be measured using the bridge circuit. Check FAQs

L 1(hay) = \frac{R 2(hay) \cdot R 3(hay) \cdot C 4(hay)}{1 + ω^{2} \cdot {C 4(hay)}^{2} \cdot {R 4(hay)}^{2}}

L_1(hay) - Unknown Inductance in Hay Bridge?R_2(hay) - Known Resistance 2 in Hay Bridge?R_3(hay) - Known Resistance 3 in Hay Bridge?C_4(hay) - Capacitance in Hay Bridge?ω - Angular Frequency?R_4(hay) - Known Resistance 4 in Hay Bridge?

Unknown Inductance in Hay Bridge Example

With values

With units

Only example

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

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

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

109.4288 = \frac{32 \cdot 34.5 \cdot 260}{1 + 200^{2} \cdot 260^{2} \cdot {24.5}^{2}}

109.4288mH = \frac{32Ω \cdot 34.5Ω \cdot 260μF}{1 + {200rad/s}^{2} \cdot {260μF}^{2} \cdot {24.5Ω}^{2}}

109.4288 = \frac{32 \cdot 34.5 \cdot 260}{1 + 200^{2} \cdot 260^{2} \cdot {24.5}^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics and Instrumentation » Category

Measuring Instrument Circuits » fx Unknown Inductance in Hay Bridge

Unknown Inductance in Hay Bridge Solution

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

FIRST Step Consider the formula

L 1(hay) = \frac{R 2(hay) \cdot R 3(hay) \cdot C 4(hay)}{1 + ω^{2} \cdot {C 4(hay)}^{2} \cdot {R 4(hay)}^{2}}

Next Step Substitute values of Variables

∴

L 1(hay) = \frac{32Ω \cdot 34.5Ω \cdot 260μF}{1 + {200rad/s}^{2} \cdot {260μF}^{2} \cdot {24.5Ω}^{2}}

Next Step Convert Units

∴

L 1(hay) = \frac{32Ω \cdot 34.5Ω \cdot 0.0003F}{1 + {200rad/s}^{2} \cdot {0.0003F}^{2} \cdot {24.5Ω}^{2}}

Next Step Prepare to Evaluate

∴

L 1(hay) = \frac{32 \cdot 34.5 \cdot 0.0003}{1 + 200^{2} \cdot {0.0003}^{2} \cdot {24.5}^{2}}

Next Step Evaluate

∴

L 1(hay) = 0.109428777511593H

Next Step Convert to Output's Unit

∴

L 1(hay) = 109.428777511593mH

LAST Step Rounding Answer

∴

L 1(hay) = 109.4288mH

Unknown Inductance in Hay Bridge Formula Elements

Variables

Unknown Inductance in Hay Bridge

Unknown Inductance in Hay Bridge refers to the inductor whose value is to be measured using the bridge circuit.

Symbol: L_1(hay)

Measurement: InductanceUnit: mH

Note: Value should be greater than 0.

Formulas to find Unknown Inductance in Hay Bridge

Known Resistance 2 in Hay Bridge

Known Resistance 2 in Hay Bridge refers to the non-inductive resistor whose value is known and is varied in the bridge circuit.

Symbol: R_2(hay)

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Known Resistance 2 in Hay Bridge

Known Resistance 3 in Hay Bridge

Known Resistance 3 in Hay Bridge refers to the non-inductive resistor whose value is known and is varied in the bridge circuit.

Symbol: R_3(hay)

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Known Resistance 3 in Hay Bridge

Capacitance in Hay Bridge

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.

Symbol: C_4(hay)

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Capacitance in Hay Bridge

Angular Frequency

Angular Frequency relates to the rate at which an object or system oscillates or rotates in circular motion.

Symbol: ω

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency

Known Resistance 4 in Hay Bridge

Known Resistance 4 in Hay Bridge refers to the capacitive resistor whose value is known and is varied in the bridge circuit.

Symbol: R_4(hay)

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Known Resistance 4 in Hay Bridge

Other formulas in Hay Bridge category

Go Unknown Resistance of Hay Bridge

R 1(hay) = \frac{ω^{2} \cdot R 2(hay) \cdot R 3(hay) \cdot R 4(hay) \cdot {C 4(hay)}^{2}}{1 + (ω^{2} \cdot {R 4(hay)}^{2} \cdot {C 4(hay)}^{2})}

Go Quality Factor of Hay Bridge using Capacitance

Q (hay) = \frac{1}{C 4(hay) \cdot R 4(hay) \cdot ω}

How to Evaluate Unknown Inductance in Hay Bridge?

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

FAQs on Unknown Inductance in Hay Bridge

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

The formula of Unknown Inductance in Hay Bridge is expressed as 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). Here is an example- 109428.8 = (32*34.5*0.00026)/(1+200^2*0.00026^2*24.5^2).

How to calculate Unknown Inductance in Hay Bridge?

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

Can the Unknown Inductance in Hay Bridge be negative?

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

Unknown Inductance in Hay Bridge Formula

Unknown Inductance in Hay Bridge Example

Unknown Inductance in Hay Bridge Solution

Unknown Inductance in Hay Bridge Formula Elements

Other formulas in Hay Bridge category

How to Evaluate Unknown Inductance in Hay Bridge?

FAQs on Unknown Inductance in Hay Bridge

Variable Name