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RLC Series Circuit Calculator Online

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The RLC Series Circuit Calculator is a powerful tool used in electrical engineering for analyzing AC circuits. It helps in determining various parameters such as impedance, current, voltage across components, resonant frequency, and Q-factor in RLC (resistor-inductor-capacitor) series circuits. By inputting the values of resistance (R), inductance (L), capacitance (C), and frequency (f), users can quickly obtain crucial insights into the behavior and characteristics of their circuits.

Formula of RLC Series Circuit Calculator

The RLC Series Circuit Calculator utilizes the following formulas to calculate different parameters:

  • Impedance (Z):The impedance (Z) is calculated using the formula:plaintextCopy codeZ = √(R² + (XL - XC)²) Where:
  • Current (I):Once the impedance is determined, the current (I) in the circuit can be found using Ohm’s Law for AC circuits:plaintextCopy codeI = V/Z Where:
    • V is the voltage
  • Voltage across each component:The voltage across the resistor (VR), inductor (VL), and capacitor (VC) is calculated as follows:plaintextCopy codeVR = IR (voltage across resistor) VL = I(XLj) (voltage across inductor) VC = I(-jXC) (voltage across capacitor) The imaginary unit accounts for the 90° phase shift.
  • Resonant Frequency (f₀):The resonant frequency (f₀) is the frequency at which inductive and capacitive reactance cancel each other out, maximizing the current:plaintextCopy codef₀ = 1 / (2π√(LC))
  • Q-factor:The Q-factor represents the bandwidth of the resonant peak. It is calculated as:plaintextCopy codeQ = 1/R × √(L/C)

General Terms Table

Here’s a table summarizing some key properties:

See also  Coulombs Calculator Online
PropertyFormula
Impedance (Z)Z = √(R² + (XL – XC)²)
Inductive Reactance (XL)XL = 2πfL
Capacitive Reactance (XC)XC = 1/(2πfC)
Current (I)I = V/Z
Resonant Frequency (f₀)f₀ = 1 / (2π√(LC))
Q-FactorQ = 1/R × √(L/C)

Example of RLC Series Circuit Calculator

Let’s consider an example to illustrate the application of the RLC Series Circuit Calculator:

Suppose we have an RLC series circuit with the following parameters:

  • Resistance (R) = 50 Ω
  • Inductance (L) = 0.1 H
  • Capacitance (C) = 10 µF
  • Frequency (f) = 100 Hz

Using the calculator, we find:

  • Impedance (Z) ≈ 52.46 Ω
  • Current (I) ≈ 0.019 A
  • Voltage across Resistor (VR) ≈ 0.98 V
  • Voltage across Inductor (VL) ≈ 1.23 V
  • Voltage across Capacitor (VC) ≈ -0.98 V
  • Resonant Frequency (f₀) ≈ 159.15 Hz
  • Q-factor ≈ 5.53
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Most Common FAQs

Q: What is the significance of the resonant frequency in an RLC circuit?

A: The resonant frequency is the frequency at which the inductive and capacitive reactance cancel each other out, resulting in maximum current flow. It is crucial for designing and tuning circuits for specific frequencies.

Q: How does the Q-factor affect circuit performance?

A: A higher Q-factor indicates a sharper peak in the frequency response of the circuit, resulting in better selectivity and narrower bandwidth. It is essential for applications requiring precise frequency control and filtering.

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