What is the formula for the impedance of an inductor?

What is the formula for the impedance of an inductor?

• A. 1/jωC
• B. jωL
• C. R - jX
• D. V/I

Answer: (B)

The impedance of an inductor is represented by the formula jωL, where j is the imaginary unit, ω (omega) is the angular frequency in radians per second, and L is the inductance in henries. This expression captures the behavior of how inductors oppose changes in current. In phasor analysis, inductors introduce a phase shift between voltage and current, resulting in a complex impedance. The use of the imaginary unit j indicates that the impedance contributes positively to the reactive part of the circuit, meaning that it stores energy in the magnetic field created around it due to the current flowing through. The term ω, which is equal to 2π times the frequency (f), shows that the impedance of an inductor is directly proportional to both inductance and the frequency of the alternating current. This relationship indicates that as either the inductance or frequency increases, the impedance also increases, reflecting the role of inductors in AC circuits where they resist changes in current more as these parameters rise. This understanding is crucial for analyzing AC circuits, especially in applications where inductors are used for filtering or energy storage.

The impedance of an inductor is represented by the formula jωL, where j is the imaginary unit, ω (omega) is the angular frequency in radians per second, and L is the inductance in henries. This expression captures the behavior of how inductors oppose changes in current.

In phasor analysis, inductors introduce a phase shift between voltage and current, resulting in a complex impedance. The use of the imaginary unit j indicates that the impedance contributes positively to the reactive part of the circuit, meaning that it stores energy in the magnetic field created around it due to the current flowing through.

The term ω, which is equal to 2π times the frequency (f), shows that the impedance of an inductor is directly proportional to both inductance and the frequency of the alternating current. This relationship indicates that as either the inductance or frequency increases, the impedance also increases, reflecting the role of inductors in AC circuits where they resist changes in current more as these parameters rise. This understanding is crucial for analyzing AC circuits, especially in applications where inductors are used for filtering or energy storage.