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In an R-L series circuit, if the frequency of the AC source is increased, the inductive reactance will:
Increase
Decrease
Remain constant
Become zero
Increase
In an R-L series circuit, the inductive reactance (XLтАЛ) is directly proportional to the frequency (f) of the AC supply. As the frequency increases, the rate of change of current increases, leading to a higher induced back electromotive force (EMF) that opposes the flow of current, thus increasing reactance.
In an R-L series circuit, the inductive reactance (XLтАЛ) is directly proportional to the frequency (f) of the AC supply. As the frequency increases, the rate of change of current increases, leading to a higher induced back electromotive force (EMF) that opposes the flow of current, thus increasing reactance.
XLтАЛ=2╧АfL тАФ where XLтАЛ is inductive reactance in ╬й, f is frequency in Hz, and L is inductance in H
The inductive reactance is defined by the opposition to current flow offered by an inductor. Mathematically, it depends on the angular frequency (╧Й=2╧Аf) and the inductance (L). Because the magnetic field flux linkage within the inductor changes more rapidly at higher frequencies, the opposing voltage (Lenz's Law) increases, causing the opposition to current (reactance) to rise linearly with frequency.
Inductive reactance increases linearly with frequency.
At zero frequency (DC), the inductor acts as a short circuit (ideal case).
High frequencies lead to high reactance, effectively blocking high-frequency components in certain circuits.
Used in low-pass filter designs.
Helps in limiting current in AC circuits.
Higher power loss due to increased impedance at high frequencies.
Causes phase lag in current relative to voltage.
Induction motors and transformers.
Frequency-dependent signal filtering (chokes).
The relationship XLтАЛтИЭf holds true for ideal inductors.
Option B (Decrease) is incorrect because it describes capacitive reactance (XCтАЛ=2╧АfC1тАЛ), which is inversely proportional to frequency.
A is correct тАФ The inductive reactance XLтАЛ increases linearly with an increase in the frequency f of the AC source.
Always remember the mnemonic 'ELI the ICE man': In an Inductor (L), Voltage (E) leads Current (I), and for Capacitors (C), Current (I) leads Voltage (E).