Unknown Resistance of Hay Bridge Calculator

✖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 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%
✖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%
✖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%

✖Unknown Resistance in Hay Bridge refers to the inductive resistor whose value is unknown and is calculated by balancing the bridge circuit.ⓘ Unknown Resistance of Hay Bridge [R_1(hay)]

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Unknown Resistance of Hay Bridge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
R_1(hay) = (ω^2*R_2(hay)*R_3(hay)*R_4(hay)*C_4(hay)^2)/(1+(ω^2*R_4(hay)^2*C_4(hay)^2))
This formula uses 6 Variables

Variables Used

Unknown Resistance in Hay Bridge - (Measured in Ohm) - Unknown Resistance in Hay Bridge refers to the inductive resistor whose value is unknown and is calculated by balancing 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 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_1(hay) = (ω^2*R_2(hay)*R_3(hay)*R_4(hay)*C_4(hay)^2)/(1+(ω^2*R_4(hay)^2*C_4(hay)^2)) --> (200^2*32*34.5*24.5*0.00026^2)/(1+(200^2*24.5^2*0.00026^2))

Evaluating ... ...

R_1(hay) = 27.882452509954

STEP 3: Convert Result to Output's Unit

27.882452509954 Ohm --> No Conversion Required

FINAL ANSWER

27.882452509954 ≈ 27.88245 Ohm <-- Unknown Resistance in Hay Bridge

(Calculation completed in 00.014 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Calculator and 100+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< Hay Bridge Calculators

Unknown Resistance of Hay Bridge

LaTeX 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

LaTeX 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

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

Unknown Resistance of Hay Bridge Formula

LaTeX Go

What are the disadvantages of Hay bridge?

Some of the disadvantages of Hay bridge include its limited capacity, which can make it unsuitable for heavy loads, as well as its potential for instability and failure under extreme loads or conditions. Additionally, Hay bridge can be difficult to assemble and maintain, and it may not be suitable for applications that require high levels of accuracy or precision.

How to Calculate Unknown Resistance of Hay Bridge?

Unknown Resistance of Hay Bridge calculator uses 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)) to calculate the Unknown Resistance in Hay Bridge, The Unknown Resistance of Hay bridge formula refers to the resistor 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 resistor by achieving balance in the bridge circuit and comparing the ratios of impedances. Unknown Resistance in Hay Bridge is denoted by R_1(hay) symbol.

How to calculate Unknown Resistance of Hay Bridge using this online calculator? To use this online calculator for Unknown Resistance of Hay Bridge, enter Angular Frequency (ω), Known Resistance 2 in Hay Bridge (R_2(hay)), Known Resistance 3 in Hay Bridge (R_3(hay)), Known Resistance 4 in Hay Bridge (R_4(hay)) & Capacitance in Hay Bridge (C_4(hay)) and hit the calculate button. Here is how the Unknown Resistance of Hay Bridge calculation can be explained with given input values -> 27.88245 = (200^2*32*34.5*24.5*0.00026^2)/(1+(200^2*24.5^2*0.00026^2)).

FAQ

What is Unknown Resistance of Hay Bridge?

The Unknown Resistance of Hay bridge formula refers to the resistor 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 resistor by achieving balance in the bridge circuit and comparing the ratios of impedances and is represented as R_1(hay) = (ω^2*R_2(hay)*R_3(hay)*R_4(hay)*C_4(hay)^2)/(1+(ω^2*R_4(hay)^2*C_4(hay)^2)) or 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)). Angular Frequency relates to the rate at which an object or system oscillates or rotates in circular motion, 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, Known Resistance 4 in Hay Bridge refers to the capacitive 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.

How to calculate Unknown Resistance of Hay Bridge?

The Unknown Resistance of Hay bridge formula refers to the resistor 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 resistor by achieving balance in the bridge circuit and comparing the ratios of impedances is calculated using 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)). To calculate Unknown Resistance of Hay Bridge, you need Angular Frequency (ω), Known Resistance 2 in Hay Bridge (R_2(hay)), Known Resistance 3 in Hay Bridge (R_3(hay)), Known Resistance 4 in Hay Bridge (R_4(hay)) & Capacitance in Hay Bridge (C_4(hay)). With our tool, you need to enter the respective value for Angular Frequency, Known Resistance 2 in Hay Bridge, Known Resistance 3 in Hay Bridge, Known Resistance 4 in Hay Bridge & Capacitance 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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