Resistance for Parallel RLC Circuit using Q Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance))
R = Q||/(sqrt(C/L))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Parallel RLC Quality Factor: 39.9 --> No Conversion Required
Capacitance: 350 Microfarad --> 0.00035 Farad (Check conversion ​here)
Inductance: 0.79 Millihenry --> 0.00079 Henry (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = Q||/(sqrt(C/L)) --> 39.9/(sqrt(0.00035/0.00079))
Evaluating ... ...
R = 59.9449247226152
STEP 3: Convert Result to Output's Unit
59.9449247226152 Ohm --> No Conversion Required
FINAL ANSWER
59.9449247226152 59.94492 Ohm <-- Resistance
(Calculation completed in 00.020 seconds)

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Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Impedance Calculators

Impedance given Complex Power and Current
​ LaTeX ​ Go Impedance = Complex Power/(Current^2)
Impedance given Complex Power and Voltage
​ LaTeX ​ Go Impedance = (Voltage^2)/Complex Power
Resistance using Power Factor
​ LaTeX ​ Go Resistance = Impedance*Power Factor
Impedance using Power Factor
​ LaTeX ​ Go Impedance = Resistance/Power Factor

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)

Resistance for Parallel RLC Circuit using Q Factor Formula

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

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 Resistance for Parallel RLC Circuit using Q Factor?

Resistance for Parallel RLC Circuit using Q Factor calculator uses Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance)) to calculate the Resistance, Resistance for Parallel RLC Circuit using Q Factor formula is defined as the opposition that a substance offers to the flow of electric current. It is represented by the uppercase letter R. Resistance is denoted by R symbol.

How to calculate Resistance for Parallel RLC Circuit using Q Factor using this online calculator? To use this online calculator for Resistance for Parallel RLC Circuit using Q Factor, enter Parallel RLC Quality Factor (Q||), Capacitance (C) & Inductance (L) and hit the calculate button. Here is how the Resistance for Parallel RLC Circuit using Q Factor calculation can be explained with given input values -> 59.94492 = 39.9/(sqrt(0.00035/0.00079)).

FAQ

What is Resistance for Parallel RLC Circuit using Q Factor?
Resistance for Parallel RLC Circuit using Q Factor formula is defined as the opposition that a substance offers to the flow of electric current. It is represented by the uppercase letter R and is represented as R = Q||/(sqrt(C/L)) or Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance)). 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, 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 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.
How to calculate Resistance for Parallel RLC Circuit using Q Factor?
Resistance for Parallel RLC Circuit using Q Factor formula is defined as the opposition that a substance offers to the flow of electric current. It is represented by the uppercase letter R is calculated using Resistance = Parallel RLC Quality Factor/(sqrt(Capacitance/Inductance)). To calculate Resistance for Parallel RLC Circuit using Q Factor, you need Parallel RLC Quality Factor (Q||), Capacitance (C) & Inductance (L). With our tool, you need to enter the respective value for Parallel RLC Quality Factor, Capacitance & Inductance 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 Resistance?
In this formula, Resistance uses Parallel RLC Quality Factor, Capacitance & Inductance. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Resistance = Impedance*Power Factor
  • Resistance = sqrt(Inductance)/(Series RLC Quality Factor*sqrt(Capacitance))
  • Resistance = Time Constant/Capacitance
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