In an AC circuit, if the frequency is doubled, what happens to the inductive reactance?
Correct Answer: Inductive reactance doubles.
- 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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