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If the frequency of an AC circuit is doubled, what happens to the inductive reac
If the frequency of an AC circuit is doubled, what happens to the inductive reactance?
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Practice Questions
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Q1
If the frequency of an AC circuit is doubled, what happens to the inductive reactance?
It doubles
It halves
It remains the same
It quadruples
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Inductive reactance (X_L) is given by X_L = 2πfL. If the frequency (f) is doubled, the inductive reactance also doubles.
Questions & Step-by-step Solutions
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Q
Q: If the frequency of an AC circuit is doubled, what happens to the inductive reactance?
Solution:
Inductive reactance (X_L) is given by X_L = 2πfL. If the frequency (f) is doubled, the inductive reactance also doubles.
Steps: 6
Show Steps
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.
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