Capacitance for Parallel RLC Circuit using 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%
✖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.ⓘ Parallel RLC Quality Factor [Q_\|\|]			+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 Parallel RLC Circuit using Q Factor [C]

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Formula

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Capacitance for Parallel RLC Circuit using Q Factor

Formula

`"C" = ("L"*"Q"_{"||"}^2)/"R"^2`

Example

`"349.3578μF"=("0.79mH"*("39.9")^2)/("60Ω")^2`

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Capacitance for Parallel RLC Circuit using Q Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
C = (L*Q_||^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.
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.
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)
Parallel RLC Quality Factor: 39.9 --> No Conversion Required
Resistance: 60 Ohm --> 60 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (L*Q_||^2)/R^2 --> (0.00079*39.9^2)/60^2

Evaluating ... ...

C = 0.00034935775

STEP 3: Convert Result to Output's Unit

0.00034935775 Farad -->349.35775 Microfarad (Check conversion here)

FINAL ANSWER

349.35775 ≈ 349.3578 Microfarad <-- Capacitance

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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National Institute of Technology (NIT), Jamshedpur

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< 4 Capacitance Calculators

Capacitance for Parallel RLC Circuit using Q Factor

Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2

Capacitance for Series RLC Circuit given Q Factor

Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)

Capacitance given Cut off Frequency

Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)

Capacitance using Time Constant

Go Capacitance = Time Constant/Resistance

< 25 AC Circuit Design Calculators

Resistance for Series RLC Circuit given Q Factor

Go Resistance = sqrt(Inductance)/(Series RLC Quality Factor*sqrt(Capacitance))

Line to Neutral Current using Reactive Power

Go Line to Neutral Current = Reactive Power/(3*Line to Neutral Voltage*sin(Phase Difference))

RMS Current using Reactive Power

Go Root Mean Square Current = Reactive Power/(Root Mean Square Voltage*sin(Phase Difference))

Line to Neutral Current using Real Power

Go Line to Neutral Current = Real Power/(3*cos(Phase Difference)*Line to Neutral Voltage)

RMS Current using Real Power

Go Root Mean Square Current = Real Power/(Root Mean Square Voltage*cos(Phase Difference))

Resistance for Parallel RLC Circuit using Q Factor

Go Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance))

Resonant Frequency for RLC circuit

Go Resonant Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))

Electric Current using Reactive Power

Go Current = Reactive Power/(Voltage*sin(Phase Difference))

Electric Current using Real Power

Go Current = Real Power/(Voltage*cos(Phase Difference))

Power in Single-Phase AC Circuits

Go Real Power = Voltage*Current*cos(Phase Difference)

Inductance for Parallel RLC Circuit using Q Factor

Go Inductance = (Capacitance*Resistance^2)/(Parallel RLC Quality Factor^2)

Capacitance for Parallel RLC Circuit using Q Factor

Go Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2

Capacitance for Series RLC Circuit given Q Factor

Go Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)

Inductance for Series RLC Circuit given Q Factor

Go Inductance = Capacitance*Series RLC Quality Factor^2*Resistance^2

Capacitance given Cut off Frequency

Go Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)

Cut Off Frequency for RC circuit

Go Cut-off Frequency = 1/(2*pi*Capacitance*Resistance)

Complex Power

Go Complex Power = sqrt(Real Power^2+Reactive Power^2)

Complex Power given Power Factor

Go Complex Power = Real Power/cos(Phase Difference)

Current using Power Factor

Go Current = Real Power/(Power Factor*Voltage)

Current using Complex Power

Go Current = sqrt(Complex Power/Impedance)

Frequency using Time Period

Go Natural Frequency = 1/(2*pi*Time Period)

Capacitance using Time Constant

Go Capacitance = Time Constant/Resistance

Resistance using Time Constant

Go Resistance = Time Constant/Capacitance

Impedance given Complex Power and Voltage

Go Impedance = (Voltage^2)/Complex Power

Impedance given Complex Power and Current

Go Impedance = Complex Power/(Current^2)

Capacitance for Parallel RLC Circuit using Q Factor Formula

Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
C = (L*Q_||^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 Parallel RLC Circuit using Q Factor?

Capacitance for Parallel RLC Circuit using Q Factor calculator uses Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2 to calculate the Capacitance, Capacitance for Parallel RLC Circuit using Q Factor formula is defined as 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 Parallel RLC Circuit using Q Factor using this online calculator? To use this online calculator for Capacitance for Parallel RLC Circuit using Q Factor, enter Inductance (L), Parallel RLC Quality Factor (Q_||) & Resistance (R) and hit the calculate button. Here is how the Capacitance for Parallel RLC Circuit using Q Factor calculation can be explained with given input values -> 3.5E+8 = (0.00079*39.9^2)/60^2.

FAQ

What is Capacitance for Parallel RLC Circuit using Q Factor?

Capacitance for Parallel RLC Circuit using Q Factor formula is defined as 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_||^2)/R^2 or Capacitance = (Inductance*Parallel 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, 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 & 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 Parallel RLC Circuit using Q Factor?

Capacitance for Parallel RLC Circuit using Q Factor formula is defined as the ratio of the amount of electric charge stored on a conductor to a difference in electric potential is calculated using Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2. To calculate Capacitance for Parallel RLC Circuit using Q Factor, you need Inductance (L), Parallel RLC Quality Factor (Q_||) & Resistance (R). With our tool, you need to enter the respective value for Inductance, Parallel 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, Parallel RLC Quality Factor & Resistance. We can use 6 other way(s) to calculate the same, which is/are as follows -

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

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