Circuits uit de RLC-serie: impedantie

In AC circuits, impedance is a combination of resistance and reactance, measured in ohms, and is represented by Z.

Recalling the phasors for the RLC circuit and applying the Pythagorean theorem, the voltage or current amplitude can be determined.

By rearranging the terms, the ratio of the voltage amplitude of the circuit to the current through the circuit can be expressed as impedance.

Recalling the phase angle equation and simplifying it gives the phase angle between the current and voltage.

Consider an RLC series circuit with a 10 ohm resistor, 200 micro-henry inductor, and 100 micro-farad capacitor, connected to a 36-volt source with a 60 hertz frequency. Determine the circuit's impedance and the phase angle.

First, identify the known and unknown quantities in the circuit.

Then, determine the resistance, inductive reactance and capacitive reactance. By substituting the known terms in the impedance equation, the impedance of the circuit can be determined.

Lastly, by substituting the known terms in the phase angle equation, the phase angle between the current and voltage can be determined.