In an AC circuit with inductance, what is used to calculate the total inductive reactance?

The formula used to calculate the total inductive reactance in an AC circuit is represented by the relationship ( X_L = 2\pi f L ). In this equation, ( X_L ) signifies inductive reactance, ( f ) is the frequency of the AC source, and ( L ) represents the inductance measured in henries.

Understanding this formula is essential because inductive reactance is a measure of how much an inductor resists the change of current in an AC circuit. As the frequency of the AC signal increases, the inductive reactance also increases, demonstrating the frequency-dependent nature of inductors. This relationship is crucial for designing and analyzing circuits containing inductors, as it helps determine how those circuits will behave at different frequencies.

The other options relate to different principles in electrical theory: the relationship ( R = V/I ) describes Ohm's Law for resistive circuits; ( F = 1/T ) relates frequency to period, giving a fundamental understanding of AC signals; and ( Q = CV ) pertains to the charge stored in a capacitor in relation to its capacitance and voltage. None of these equations apply to calculating inductive reactance directly, which is specifically defined through the formula