What is the relationship between the frequency and the inductive reactance? (202

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Question: What is the relationship between the frequency and the inductive reactance? (2023)

Options:

Correct Answer: Directly proportional

Exam Year: 2023

Solution:

Inductive reactance (X_L) is directly proportional to frequency (f), as given by the formula X_L = 2πfL.

What is the relationship between the frequency and the inductive reactance? (2023)

What is the relationship between the frequency and the inductive reactance? (2023)

Step 1: Understand what inductive reactance (X_L) is. It is a measure of how much a coil (inductor) resists the flow of alternating current (AC).
Step 2: Know that frequency (f) refers to how many times the current changes direction in one second, measured in hertz (Hz).
Step 3: Learn the formula for inductive reactance: X_L = 2πfL, where L is the inductance of the coil.
Step 4: Notice that in the formula, X_L is directly related to frequency (f). This means that if frequency increases, inductive reactance also increases.
Step 5: Conclude that as the frequency of the AC increases, the opposition to the current flow by the inductor (inductive reactance) also increases.

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