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/(Qse^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/(Qse^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 00.004 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1500+ more calculators!
Verified by Team Softusvista
Softusvista Office (Pune), India
Team Softusvista has verified this Calculator and 1100+ more calculators!

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 Series RLC Circuit given Q Factor Formula

Capacitance = Inductance/(Series RLC Quality Factor^2*Resistance^2)
C = L/(Qse^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 (Qse) & 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/(Qse^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 (Qse) & 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 6 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)
  • Capacitance = (Inductance*Parallel RLC Quality Factor^2)/Resistance^2
  • Capacitance = 1/(2*Resistance*pi*Cut-off Frequency)
  • Capacitance = Time Constant/Resistance
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!