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Value of Inductance Formula

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Total Inductance refers to the combined inductance of all inductors in a circuit, calculated either in series or in parallel, influencing the overall inductive reactance observed across the circuit. Check FAQs

L T = \frac{1}{4 \cdot π^{2} \cdot {f o}^{2} \cdot C T}

L_T - Total Inductance?f_o - Resonant Frequency?C_T - Total Capacitance?π - Archimedes' constant?

Value of Inductance Example

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Here is how the Value of Inductance equation looks like with Values.

Here is how the Value of Inductance equation looks like with Units.

Here is how the Value of Inductance equation looks like.

1.5223 = \frac{1}{4 \cdot {3.1416}^{2} \cdot {0.8}^{2} \cdot 0.026}

1.5223H = \frac{1}{4 \cdot {3.1416}^{2} \cdot {0.8Hz}^{2} \cdot 0.026F}

1.5223 = \frac{1}{4 \cdot {3.1416}^{2} \cdot {0.8}^{2} \cdot 0.026}

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Value of Inductance Solution

Follow our step by step solution on how to calculate Value of Inductance?

FIRST Step Consider the formula

L T = \frac{1}{4 \cdot π^{2} \cdot {f o}^{2} \cdot C T}

Next Step Substitute values of Variables

∴

L T = \frac{1}{4 \cdot π^{2} \cdot {0.8Hz}^{2} \cdot 0.026F}

Next Step Substitute values of Constants

∴

L T = \frac{1}{4 \cdot {3.1416}^{2} \cdot {0.8Hz}^{2} \cdot 0.026F}

Next Step Prepare to Evaluate

∴

L T = \frac{1}{4 \cdot {3.1416}^{2} \cdot {0.8}^{2} \cdot 0.026}

Next Step Evaluate

∴

L T = 1.52225336001108H

LAST Step Rounding Answer

∴

L T = 1.5223H

Value of Inductance Formula Elements

Variables

Constants

Total Inductance

Total Inductance refers to the combined inductance of all inductors in a circuit, calculated either in series or in parallel, influencing the overall inductive reactance observed across the circuit.

Symbol: L_T

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Total Inductance

Resonant Frequency

Resonant Frequency is the frequency at which a circuit or system naturally oscillates with the greatest amplitude when subjected to an external periodic force or when excited by an input signal.

Symbol: f_o

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Resonant Frequency

Total Capacitance

Total Capacitance refers to the combined capacitance of capacitors connected in a circuit, either in series or parallel, affecting the overall capacitance value observed across the circuit.

Symbol: C_T

Measurement: CapacitanceUnit: F

Note: Value should be greater than 0.

Formulas to find Total Capacitance

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Q Meter category

Go True Value of Quality factor

Q true = \frac{ω \cdot L T}{R T}

Go Measured Value of Quality Factor

Q m = \frac{ω \cdot L T}{R T + R sh}

Go Value of Resistance

R T = \frac{ω \cdot L T}{Q m}

Go Value of distributed capacitor

C d = \frac{C 1 - 4 \cdot C 2}{3}

How to Evaluate Value of Inductance?

Value of Inductance evaluator uses Total Inductance = 1/(4*pi^2*Resonant Frequency^2*Total Capacitance) to evaluate the Total Inductance, The Value of Inductance formula is used to calculate the value of effective inductance in the Q meter network. Total Inductance is denoted by L_T symbol.

How to evaluate Value of Inductance using this online evaluator? To use this online evaluator for Value of Inductance, enter Resonant Frequency (f_o) & Total Capacitance (C_T) and hit the calculate button.

FAQs on Value of Inductance

What is the formula to find Value of Inductance?

The formula of Value of Inductance is expressed as Total Inductance = 1/(4*pi^2*Resonant Frequency^2*Total Capacitance). Here is an example- 152.2253 = 1/(4*pi^2*0.8^2*0.026).

How to calculate Value of Inductance?

With Resonant Frequency (f_o) & Total Capacitance (C_T) we can find Value of Inductance using the formula - Total Inductance = 1/(4*pi^2*Resonant Frequency^2*Total Capacitance). This formula also uses Archimedes' constant .

Can the Value of Inductance be negative?

No, the Value of Inductance, measured in Inductance cannot be negative.

Which unit is used to measure Value of Inductance?

Value of Inductance is usually measured using the Henry[H] for Inductance. Millihenry[H], Microhenry[H] are the few other units in which Value of Inductance can be measured.

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Value of Inductance Formula

Value of Inductance Example

Value of Inductance Solution

Value of Inductance Formula Elements

Other formulas in Q Meter category

How to Evaluate Value of Inductance?

FAQs on Value of Inductance

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