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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?
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Practice Questions
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Q1
In an AC circuit, if the frequency is doubled, what happens to the reactance of an inductor?
Doubles
Halves
Remains the same
Quadruples
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The reactance of an inductor is given by X_L = 2πfL. If frequency is doubled, reactance halves.
Questions & Step-by-step Solutions
1 item
Q
Q: In an AC circuit, if the frequency is doubled, what happens to the reactance of an inductor?
Solution:
The reactance of an inductor is given by X_L = 2πfL. If frequency is doubled, reactance halves.
Steps: 7
Show Steps
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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