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If frequency increase, IL will
Increse
Decrease
Remain same
None of these
Decrease
In an AC circuit containing an inductor, the current ILтАЛ is inversely proportional to the frequency f of the source. As the frequency increases, the inductive reactance XLтАЛ increases, which results in a decrease in the current flowing through the inductor.
In an AC circuit containing an inductor, the current ILтАЛ is inversely proportional to the frequency f of the source. As the frequency increases, the inductive reactance XLтАЛ increases, which results in a decrease in the current flowing through the inductor.
XLтАЛ=2╧АfL тАФ Inductive Reactance formula
ILтАЛ=2╧АfLVтАЛ тАФ Current in an inductive circuit
The inductive reactance is defined as XLтАЛ=2╧АfL. According to Ohm's Law for AC circuits, the current is ILтАЛ=XLтАЛVтАЛ=2╧АfLVтАЛ. Since the applied voltage V and the inductance L remain constant, an increase in frequency f leads to a higher reactance, thereby reducing the current ILтАЛ.
Inductive reactance is directly proportional to frequency (XLтАЛтИЭf).
Current in a purely inductive circuit is inversely proportional to frequency (ILтАЛтИЭf1тАЛ).
At DC conditions (f=0), an ideal inductor acts as a short circuit.
Used in frequency-selective filtering (Low-pass filters).
Essential for current limiting in ballasts and reactors.
Increases reactive power demand as frequency fluctuates.
Potential for resonance issues in power systems.
AC motor starting circuits.
Radio frequency tuning circuits.
Power electronic filtering.
The inverse relationship ILтАЛтИЭ1/f only holds for an ideal inductor where R=0.
Option A is incorrect because current increases when frequency decreases, not increases.
B is correct тАФ The current ILтАЛ decreases because the inductive reactance XLтАЛ increases linearly with the frequency.
Remember that for capacitors, the relationship is reversed (ICтАЛтИЭf) because capacitive reactance XCтАЛ=2╧АfC1тАЛ decreases as frequency increases.