In an AC circuit, if the frequency is doubled, what happens to the reactance of

In an AC circuit, if the frequency is doubled, what happens to the reactance of an inductor?

In an AC circuit, if the frequency is doubled, what happens to the reactance of an inductor?

Step 1: Understand that reactance (X_L) of an inductor is calculated using the formula X_L = 2πfL, where f is the frequency and L is the inductance.
Step 2: Identify that if the frequency (f) is doubled, it becomes 2f.
Step 3: Substitute 2f into the reactance formula: X_L = 2π(2f)L.
Step 4: Simplify the equation: X_L = 4πfL.
Step 5: Compare the new reactance (4πfL) with the original reactance (2πfL).
Step 6: Notice that the new reactance is four times the original, but we need to find the effect of doubling frequency on reactance.
Step 7: Realize that if frequency is doubled, the reactance effectively halves when considering the relationship of frequency to reactance.

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