Impedance

Impedance (Z) is a measure of the total opposition of current in an electrical circuit.
It consists of a real component, resistance (R), and an imaginary component, reactance (X). Both are measured in ohms. Reactance is the difference between inductive reactance (X_L) and capacitive reactance (X_C).

Applications of Impedance

Resistors, inductors, and capacitors are often used together in a circuit. For example, a speaker system uses a combination of the three to control the sound's pitch.
Part of designing these complex circuits is knowing the odd relationship between R and the impedance.
Let's try various values of R and see their impact. Specifically, what happens if R = X?

Calculator

Do not use more than 3 decimal places.