If the frequency of an AC source is doubled, what happens to the inductive react
Practice Questions
Q1
If the frequency of an AC source is doubled, what happens to the inductive reactance? (2014)
It doubles
It halves
It remains the same
It quadruples
Questions & Step-by-Step Solutions
If the frequency of an AC source is doubled, what happens to the inductive reactance? (2014)
Step 1: Understand what inductive reactance (XL) 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: XL = 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: XL = 2π(2f)L = 4πfL.
Step 5: Compare the new inductive reactance (4πfL) with the original (2πfL). Notice that if frequency is doubled, the inductive reactance is not doubled but rather it becomes 4 times the original value.
Step 6: Realize that the question asks what happens to XL when frequency is doubled. Since XL is directly proportional to frequency, if frequency is doubled, XL increases.
Step 7: Conclude that if frequency is doubled, the inductive reactance increases, not halves.
