If the frequency of an AC circuit is doubled, what happens to the inductive reac

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Question: If the frequency of an AC circuit is doubled, what happens to the inductive reactance?

Options:

Correct Answer: It doubles

Solution:

Inductive reactance (X_L) is given by X_L = 2πfL. If the frequency (f) is doubled, the inductive reactance also doubles.

If the frequency of an AC circuit is doubled, what happens to the inductive reactance?

If the frequency of an AC circuit is doubled, what happens to the inductive reactance?

Step 1: Understand what inductive reactance (X_L) is. It is a measure of how much an inductor resists the flow of alternating current (AC).
Step 2: Know the formula for inductive reactance: X_L = 2πfL, where 'f' is the frequency and 'L' is the inductance.
Step 3: Identify what happens when the frequency (f) is doubled. If f becomes 2f, we will substitute this into the formula.
Step 4: Substitute the new frequency into the formula: X_L = 2π(2f)L.
Step 5: Simplify the equation: X_L = 4πfL. This shows that the inductive reactance has increased.
Step 6: Conclude that if the frequency is doubled, the inductive reactance also doubles.

Inductive Reactance – Inductive reactance (X_L) is the opposition that an inductor presents to alternating current, which is directly proportional to the frequency of the AC signal and the inductance of the coil.
Frequency and Reactance Relationship – The relationship between frequency and inductive reactance is linear, meaning that if the frequency increases, the inductive reactance increases proportionally.