Resonant Frequency Calculator

Step-by-Step Guide to Using the Resonant Frequency Calculator

Understanding the Resonant Frequency Calculator

The Resonant Frequency Calculator helps you determine the resonant frequency of an LC (inductor-capacitor) circuit. It calculates the frequency at which the circuit will naturally oscillate due to the inductance and capacitance components. This calculator also provides the resonant frequency in different units and derives angular frequency.

Step 1: Input Inductance

1. Enter the Inductance Value:

   Locate the text box labeled Inductance (L). You will need to input the value of the inductance in this field. The value should be a positive number and can range from 0.000001 to 1,000,000.

2. Select the Inductance Unit:

   Choose the correct unit from the dropdown list labeled Inductance Unit. The options available are:

   • mH (millihenry)
   • H (henry)
   • µH (microhenry)

Step 2: Input Capacitance

1. Enter the Capacitance Value:

   Next, move to the field labeled Capacitance (C). Input the capacitance value in this field. Make sure the number is within the permissible range of 0.000001 to 1,000,000.

2. Select the Capacitance Unit:

   From the dropdown list labeled Capacitance Unit, select the appropriate unit for your capacitance. The following units are available:

   • µF (microfarad)
   • mF (millifarad)
   • F (farad)
   • nF (nanofarad)
   • pF (picofarad)

Step 3: Calculate the Results

Once all inputs are correctly filled, the calculator will automatically compute the following:

• Resonant Frequency (Hz): This is calculated using the formula: 1 / (2 * pi() * sqrt((inductance * inductanceUnit) * (capacitance * capacitanceUnit))). The result is presented in hertz (Hz) rounded to three decimal places.
• Resonant Frequency in kHz: This is the resonant frequency converted into kilohertz (kHz) by dividing the frequency in hertz by 1,000.
• Resonant Frequency in MHz: The frequency is also provided in megahertz (MHz) by dividing the frequency in hertz by 1,000,000.
• Angular Frequency (ω): The calculator computes the angular frequency using the formula: 2 * pi() * resonantFrequency. It provides this value in radians per second (rad/s).

The results are formatted with a fixed decimal precision for clarity and consistency.

Final Note

Ensure all input values are correctly filled and within specified ranges to guarantee accurate calculations. This tool offers engineers and students a quick way to find the resonant frequency and other related parameters of an LC circuit.