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Unknown Resistance of Hay Bridge Formula

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Unknown Resistance in Hay Bridge refers to the inductive resistor whose value is unknown and is calculated by balancing the bridge circuit. Check FAQs

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})}

R_1(hay) - Unknown Resistance in Hay Bridge?ω - Angular Frequency?R_2(hay) - Known Resistance 2 in Hay Bridge?R_3(hay) - Known Resistance 3 in Hay Bridge?R_4(hay) - Known Resistance 4 in Hay Bridge?C_4(hay) - Capacitance in Hay Bridge?

Unknown Resistance of Hay Bridge Example

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Here is how the Unknown Resistance of Hay Bridge equation looks like with Values.

Here is how the Unknown Resistance of Hay Bridge equation looks like with Units.

Here is how the Unknown Resistance of Hay Bridge equation looks like.

27.8825 = \frac{200^{2} \cdot 32 \cdot 34.5 \cdot 24.5 \cdot 260^{2}}{1 + (200^{2} \cdot {24.5}^{2} \cdot 260^{2})}

27.8825Ω = \frac{{200rad/s}^{2} \cdot 32Ω \cdot 34.5Ω \cdot 24.5Ω \cdot {260μF}^{2}}{1 + ({200rad/s}^{2} \cdot {24.5Ω}^{2} \cdot {260μF}^{2})}

27.8825 = \frac{200^{2} \cdot 32 \cdot 34.5 \cdot 24.5 \cdot 260^{2}}{1 + (200^{2} \cdot {24.5}^{2} \cdot 260^{2})}

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Unknown Resistance of Hay Bridge Solution

Follow our step by step solution on how to calculate Unknown Resistance of Hay Bridge?

FIRST Step Consider the formula

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})}

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

R 1(hay) = 27.882452509954Ω

LAST Step Rounding Answer

∴

R 1(hay) = 27.8825Ω

Unknown Resistance of Hay Bridge Formula Elements

Variables

Unknown Resistance in Hay Bridge

Unknown Resistance in Hay Bridge refers to the inductive resistor whose value is unknown and is calculated by balancing the bridge circuit.

Symbol: R_1(hay)

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Unknown Resistance 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 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

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

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

Other formulas in Hay Bridge category

Go Unknown Inductance in Hay Bridge

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}}

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 Resistance of Hay Bridge?

Unknown Resistance of Hay Bridge evaluator 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 evaluate 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 evaluate Unknown Resistance of Hay Bridge using this online evaluator? To use this online evaluator 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.

FAQs on Unknown Resistance of Hay Bridge

What is the formula to find Unknown Resistance of Hay Bridge?

The formula of Unknown Resistance of Hay Bridge is expressed as 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)). Here is an example- 27.88245 = (200^2*32*34.5*24.5*0.00026^2)/(1+(200^2*24.5^2*0.00026^2)).

How to calculate Unknown Resistance of Hay Bridge?

With 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)) we can find Unknown Resistance of Hay Bridge using the formula - 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)).

Can the Unknown Resistance of Hay Bridge be negative?

No, the Unknown Resistance of Hay Bridge, measured in Electric Resistance cannot be negative.

Which unit is used to measure Unknown Resistance of Hay Bridge?

Unknown Resistance of Hay Bridge is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Unknown Resistance of Hay Bridge can be measured.

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Unknown Resistance of Hay Bridge Formula

Unknown Resistance of Hay Bridge Example

Unknown Resistance of Hay Bridge Solution

Unknown Resistance of Hay Bridge Formula Elements

Other formulas in Hay Bridge category

How to Evaluate Unknown Resistance of Hay Bridge?

FAQs on Unknown Resistance of Hay Bridge

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