In an AC circuit, if the frequency is doubled, what happens to the inductive rea

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

Options:

Correct Answer: It halves

Solution:

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

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

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

Correct Answer: Inductive reactance doubles.

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 need to substitute this into the formula.
Step 4: Substitute the new frequency into the formula: X_L = 2π(2f)L = 4πfL.
Step 5: Compare the new inductive reactance (4πfL) with the original (2πfL). Notice that the new value is double the original value.
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.
Frequency and Reactance Relationship – The relationship between frequency and inductive reactance is linear; as frequency increases, inductive reactance increases.