An inductor with inductance L=42.1 mH is connected to an AC power source that supplies Vemf =19.

step 1 we have an inductor with inductance L equals to 42 .1 millie henry that is 42 .1 but flat by 10

An inductor with inductance L=42.1 mH is connected to an AC...

An inductor with inductance $L=42.1 \mathrm{mH}$ is connected to an $\mathrm{AC}$ power source that supplies $V_{\text {emf }}=19.1 \mathrm{~V}$ at $f=605 \mathrm{~Hz}$. Find the reactance of the inductor.

Key Concepts

Inductive Reactance

Inductive reactance is the measure of an inductor's opposition to alternating current (AC) due to its property of self-induction. It is calculated using the formula X_L = 2?fL, where f is the frequency of the AC source and L is the inductance. This concept is key to understanding how inductors influence the phase and amplitude of AC signals.

Inductance

Inductance is a property of an electrical conductor (typically a coil) that quantifies its ability to store energy in a magnetic field and oppose changes in current. Measured in henries (H), it plays a crucial role in determining the behavior of circuits with AC signals by affecting the inductive reactance.

Frequency

Frequency refers to the number of oscillations per second of an AC waveform and is measured in hertz (Hz). It directly influences the reactance of inductors and capacitors in AC circuits, as a higher frequency increases the inductive reactance, thereby impacting the overall impedance of the circuit.

AC Circuits

AC circuits are electrical circuits in which the current and voltage vary sinusoidally over time. In these circuits, components such as inductors and capacitors cause phase shifts between current and voltage, and their behavior is frequency dependent. Understanding AC circuits is essential for analyzing and designing systems that involve time-varying signals.

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