Capacitance for Series RLC Circuit given Q Factor Calculator

✖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.ⓘ Inductance [L]			+10% -10%
✖Series 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 Series RLC Circuit.ⓘ Series RLC Quality Factor [Q_se]			+10% -10%
✖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).ⓘ Resistance [R]			+10% -10%

✖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.ⓘ Capacitance for Series RLC Circuit given Q Factor [C]

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Capacitance for Series RLC Circuit given Q Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)
C = L/(Q_se^2*R^2)
This formula uses 4 Variables

Variables Used

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.
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.
Series RLC Quality Factor - Series 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 Series RLC Circuit.
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).

STEP 1: Convert Input(s) to Base Unit

Inductance: 0.79 Millihenry --> 0.00079 Henry (Check conversion here)
Series RLC Quality Factor: 0.025 --> No Conversion Required
Resistance: 60 Ohm --> 60 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = L/(Q_se^2*R^2) --> 0.00079/(0.025^2*60^2)

Evaluating ... ...

C = 0.000351111111111111

STEP 3: Convert Result to Output's Unit

0.000351111111111111 Farad -->351.111111111111 Microfarad (Check conversion here)

FINAL ANSWER

351.111111111111 ≈ 351.1111 Microfarad <-- Capacitance

(Calculation completed in 00.020 seconds)

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< Capacitance 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

< 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)

Capacitance for Series RLC Circuit given Q Factor Formula

LaTeX Go

Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)
C = L/(Q_se^2*R^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 Capacitance for Series RLC Circuit given Q Factor?

Capacitance for Series RLC Circuit given Q Factor calculator uses Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2) to calculate the Capacitance, Capacitance for Series RLC Circuit given Q Factor is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential. Capacitance is denoted by C symbol.

How to calculate Capacitance for Series RLC Circuit given Q Factor using this online calculator? To use this online calculator for Capacitance for Series RLC Circuit given Q Factor, enter Inductance (L), Series RLC Quality Factor (Q_se) & Resistance (R) and hit the calculate button. Here is how the Capacitance for Series RLC Circuit given Q Factor calculation can be explained with given input values -> 3.5E+8 = 0.00079/(0.025^2*60^2).

FAQ

What is Capacitance for Series RLC Circuit given Q Factor?

Capacitance for Series RLC Circuit given Q Factor is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential and is represented as C = L/(Q_se^2*R^2) or Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2). 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, Series 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 Series RLC Circuit & 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).

How to calculate Capacitance for Series RLC Circuit given Q Factor?

Capacitance for Series RLC Circuit given Q Factor is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential is calculated using Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2). To calculate Capacitance for Series RLC Circuit given Q Factor, you need Inductance (L), Series RLC Quality Factor (Q_se) & Resistance (R). With our tool, you need to enter the respective value for Inductance, Series RLC Quality Factor & Resistance 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 Capacitance?

In this formula, Capacitance uses Inductance, Series RLC Quality Factor & Resistance. We can use 3 other way(s) to calculate the same, which is/are as follows -

Capacitance = Time Constant/Resistance
Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)

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