Value of Inductance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Inductance = 1/(4*pi^2*Resonant Frequency^2*Total Capacitance)
LT = 1/(4*pi^2*fo^2*CT)
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
LT = 1/(4*pi^2*fo^2*CT) --> 1/(4*pi^2*0.8^2*0.026)
Evaluating ... ...
LT = 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 00.004 seconds)

Credits

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Created by Nikita Suryawanshi
Vellore Institute of Technology (VIT), Vellore
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Shiv Nadar University (SNU), Greater Noida
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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)
LT = 1/(4*pi^2*fo^2*CT)

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 LT symbol.

How to calculate Value of Inductance using this online calculator? To use this online calculator for Value of Inductance, enter Resonant Frequency (fo) & Total Capacitance (CT) 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 LT = 1/(4*pi^2*fo^2*CT) 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 (fo) & Total Capacitance (CT). 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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