Inductance for Parallel RLC Circuit using Q Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inductance = (Capacitance*Resistance^2)/(Parallel RLC Quality Factor^2)
L = (C*R^2)/(Q||^2)
This formula uses 4 Variables
Variables Used
Inductance - (Measured in Henry) - Inductance is the tendency of an electrical conductor to oppose a change in the electric current flowing through it. The flow of electric current creates a magnetic field around the conductor.
Capacitance - (Measured in Farad) - Capacitance is the capability of a material object or device to store electric charge. It is measured by the change in charge in response to a difference in electric potential.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).
Parallel RLC Quality Factor - Parallel RLC Quality Factor is defined as the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation in a Parallel RLC Circuit.
STEP 1: Convert Input(s) to Base Unit
Capacitance: 350 Microfarad --> 0.00035 Farad (Check conversion ​here)
Resistance: 60 Ohm --> 60 Ohm No Conversion Required
Parallel RLC Quality Factor: 39.9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (C*R^2)/(Q||^2) --> (0.00035*60^2)/(39.9^2)
Evaluating ... ...
L = 0.000791452314998021
STEP 3: Convert Result to Output's Unit
0.000791452314998021 Henry -->0.791452314998021 Millihenry (Check conversion ​here)
FINAL ANSWER
0.791452314998021 0.791452 Millihenry <-- Inductance
(Calculation completed in 00.004 seconds)

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Inductance Calculators

Inductance for Parallel RLC Circuit using Q Factor
​ LaTeX ​ Go Inductance = (Capacitance*Resistance^2)/(Parallel RLC Quality Factor^2)
Inductance for Series RLC Circuit given Q Factor
​ LaTeX ​ Go Inductance = Capacitance*Series RLC Quality Factor^2*Resistance^2
Inductance using Time Constant
​ LaTeX ​ Go Inductance = Time Constant*Resistance

AC Circuit Design Calculators

Capacitance for Parallel RLC Circuit using Q Factor
​ LaTeX ​ Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
Capacitance for Series RLC Circuit given Q Factor
​ LaTeX ​ Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)
Capacitance given Cut off Frequency
​ LaTeX ​ Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)
Capacitance using Time Constant
​ LaTeX ​ Go Capacitance = Time Constant/Resistance

RLC Circuit Calculators

Resistance for Parallel RLC Circuit using Q Factor
​ LaTeX ​ Go Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance))
Resonant Frequency for RLC circuit
​ LaTeX ​ Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
Capacitance for Parallel RLC Circuit using Q Factor
​ LaTeX ​ Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
Capacitance for Series RLC Circuit given Q Factor
​ LaTeX ​ Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)

Inductance for Parallel RLC Circuit using Q Factor Formula

​LaTeX ​Go
Inductance = (Capacitance*Resistance^2)/(Parallel RLC Quality Factor^2)
L = (C*R^2)/(Q||^2)

What is the Q factor?

The Q factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is. It is approximately defined as the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation.

How to Calculate Inductance for Parallel RLC Circuit using Q Factor?

Inductance for Parallel RLC Circuit using Q Factor calculator uses Inductance = (Capacitance*Resistance^2)/(Parallel RLC Quality Factor^2) to calculate the Inductance, Inductance for Parallel RLC Circuit using Q Factor formula is defined as the tendency of an electrical conductor to oppose a change in the electric current flowing through it. The flow of electric current creates a magnetic field around the conductor. Inductance is denoted by L symbol.

How to calculate Inductance for Parallel RLC Circuit using Q Factor using this online calculator? To use this online calculator for Inductance for Parallel RLC Circuit using Q Factor, enter Capacitance (C), Resistance (R) & Parallel RLC Quality Factor (Q||) and hit the calculate button. Here is how the Inductance for Parallel RLC Circuit using Q Factor calculation can be explained with given input values -> 791.4523 = (0.00035*60^2)/(39.9^2).

FAQ

What is Inductance for Parallel RLC Circuit using Q Factor?
Inductance for Parallel RLC Circuit using Q Factor formula is defined as the tendency of an electrical conductor to oppose a change in the electric current flowing through it. The flow of electric current creates a magnetic field around the conductor and is represented as L = (C*R^2)/(Q||^2) or Inductance = (Capacitance*Resistance^2)/(Parallel RLC Quality Factor^2). Capacitance is the capability of a material object or device to store electric charge. It is measured by the change in charge in response to a difference in electric potential, Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω) & Parallel RLC Quality Factor is defined as the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation in a Parallel RLC Circuit.
How to calculate Inductance for Parallel RLC Circuit using Q Factor?
Inductance for Parallel RLC Circuit using Q Factor formula is defined as the tendency of an electrical conductor to oppose a change in the electric current flowing through it. The flow of electric current creates a magnetic field around the conductor is calculated using Inductance = (Capacitance*Resistance^2)/(Parallel RLC Quality Factor^2). To calculate Inductance for Parallel RLC Circuit using Q Factor, you need Capacitance (C), Resistance (R) & Parallel RLC Quality Factor (Q||). With our tool, you need to enter the respective value for Capacitance, Resistance & Parallel RLC Quality Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Inductance?
In this formula, Inductance uses Capacitance, Resistance & Parallel RLC Quality Factor. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Inductance = Time Constant*Resistance
  • Inductance = Capacitance*Series RLC Quality Factor^2*Resistance^2
  • Inductance = Capacitance*Series RLC Quality Factor^2*Resistance^2
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