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How to Solve for Impedance in RLC Circuits

Solving for impedance in a RLC circuit (resistance, inductance and capacitance) is an elementary problem that electronic technicians and electronic engineers are often required to solve. Knowing how to solve for the impedance of an RLC circuit will allow you to design electronic filters. Electronic filters are used in a variety of electronic designs. Stereo receivers, cell phones, disk drives and televisions have electronic filters. Filters allow you to tune your stereo to specific radio and television stations. They also are used to eliminate unwanted noise that antennas and amplifiers receive and amplify.

Instructions

- 1
  Calculate the impedance of the capacitor in your RLC circuit with the formula 1/2*3.14*f*C where:
  
  f is the frequency of the signal that passes through the capacitor
  
  C is the capacitance of the capacitor in Farads.
- 2
  Calculate the impedance of the inductor in your RLC circuit with the formula 2*3.14*f*L where:
  
  f is the frequency of the signal that passes through the inductor
  
  L is the inductance of the inductor in Henries
- 3
  Subtract the impedance of the capacitor from the impedance of the inductor. Call the result the reactance of the RLC circuit. Square the result (multiply the result by itself). Call this result the reactance squared term.
- 4
  Square the value of the resistor that you are using. Call this result the resistor squared term.
- 5
  Add the reactance squared term to the resistor squared term. Take the square root of this sum. Call the result the magnitude of the impedance of the RLC circuit.
- 6
  Divide the reactance by the value of the resistor. Take the inverse tangent of the result. Call this the phase of the impedance of the RLC circuit.
- 7
  State your answer for the impedance of the RLC circuit in terms of the magnitude and the phase obtained.

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