Value of Inductance Calculator

✖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.ⓘ Resonant Frequency [f_o]			+10% -10%
✖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.ⓘ Total Capacitance [C_T]			+10% -10%

✖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.ⓘ Value of Inductance [L_T]

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Value of Inductance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Inductance = 1/(4*pi^2*Resonant Frequency^2*Total Capacitance)
L_T = 1/(4*pi^2*f_o^2*C_T)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Total Inductance - (Measured in Henry) - 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.
Resonant Frequency - (Measured in Hertz) - 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.
Total Capacitance - (Measured in Farad) - 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.

STEP 1: Convert Input(s) to Base Unit

Resonant Frequency: 0.8 Hertz --> 0.8 Hertz No Conversion Required
Total Capacitance: 0.026 Farad --> 0.026 Farad No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_T = 1/(4*pi^2*f_o^2*C_T) --> 1/(4*pi^2*0.8^2*0.026)

Evaluating ... ...

L_T = 1.52225336001108

STEP 3: Convert Result to Output's Unit

1.52225336001108 Henry --> No Conversion Required

FINAL ANSWER

1.52225336001108 ≈ 1.522253 Henry <-- Total Inductance

(Calculation completed in 00.005 seconds)

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

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< Q Meter Calculators

Measured Value of Quality Factor

LaTeX Go Measured Quality Factor = (Angular Frequency*Total Inductance)/(Total Resistance+Shunt Resistance)

True Value of Quality factor

LaTeX Go Quality Factor True Value = (Angular Frequency*Total Inductance)/Total Resistance

Value of Resistance

LaTeX Go Total Resistance = (Angular Frequency*Total Inductance)/Measured Quality Factor

Value of Inductance

LaTeX Go Total Inductance = 1/(4*pi^2*Resonant Frequency^2*Total Capacitance)

Value of Inductance Formula

LaTeX Go

Total Inductance = 1/(4*pi^2*Resonant Frequency^2*Total Capacitance)
L_T = 1/(4*pi^2*f_o^2*C_T)

What are the applications of the Q meter?

The Q meter measures the quality factor of the circuit which shows the total energy dissipated by it. It also explains the properties of the coil and capacitor. The Q meter uses in a laboratory for testing the radio frequency of the coils.

How to Calculate Value of Inductance?

Value of Inductance calculator uses Total Inductance = 1/(4*pi^2*Resonant Frequency^2*Total Capacitance) to calculate 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 calculate Value of Inductance using this online calculator? To use this online calculator for Value of Inductance, enter Resonant Frequency (f_o) & Total Capacitance (C_T) and hit the calculate button. Here is how the Value of Inductance calculation can be explained with given input values -> 152.2253 = 1/(4*pi^2*0.8^2*0.026).

FAQ

What is Value of Inductance?

The Value of Inductance formula is used to calculate the value of effective inductance in the Q meter network and is represented as L_T = 1/(4*pi^2*f_o^2*C_T) or Total Inductance = 1/(4*pi^2*Resonant Frequency^2*Total Capacitance). 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 & 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.

How to calculate Value of Inductance?

The Value of Inductance formula is used to calculate the value of effective inductance in the Q meter network is calculated using Total Inductance = 1/(4*pi^2*Resonant Frequency^2*Total Capacitance). To calculate Value of Inductance, you need Resonant Frequency (f_o) & Total Capacitance (C_T). With our tool, you need to enter the respective value for Resonant Frequency & Total Capacitance 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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