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In an AC circuit, if the frequency is doubled, what happens to the inductive rea
In an AC circuit, if the frequency is doubled, what happens to the inductive reactance?
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Practice Questions
1 question
Q1
In an AC circuit, if the frequency 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, X_L also doubles.
Questions & Step-by-step Solutions
1 item
Q
Q: In an AC circuit, if the frequency 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, X_L 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 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.
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