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When frequency increase, which quantity remain constant?
XLтАЛ
XCтАЛ
R
All of these
R
Quick Summary: Resistance (R) is a passive property of a conductor related to its geometry and material properties, remaining independent of the frequency of the applied alternating current. Conversely, Inductive Reactance ($X_L$) and Capacitive Reactance ($X_C$) are frequency-dependent quantities that vary linearly and inversely with frequency, respectively.
Resistance (R) is a passive property of a conductor related to its geometry and material properties, remaining independent of the frequency of the applied alternating current. Conversely, Inductive Reactance (XLтАЛ) and Capacitive Reactance (XCтАЛ) are frequency-dependent quantities that vary linearly and inversely with frequency, respectively.
XLтАЛ=2╧АfL тАФ Inductive Reactance formula
XCтАЛ=2╧АfC1тАЛ тАФ Capacitive Reactance formula
The opposition to current flow in a resistor is due to collisions of electrons with the atomic lattice, a phenomenon independent of the speed of charge oscillation (frequency). In contrast, inductive reactance is defined as XLтАЛ=2╧АfL, meaning it increases directly with frequency due to the rate of change of magnetic flux. Capacitive reactance is defined as XCтАЛ=2╧АfC1тАЛ, meaning it decreases as frequency increases because the capacitor charges and discharges more rapidly.
Resistance (R) is purely resistive and consumes real power.
Inductive Reactance (XLтАЛ) causes current to lag voltage by 90┬░.
Capacitive Reactance (XCтАЛ) causes current to lead voltage by 90┬░.
Skin effect can cause a slight increase in R at very high frequencies, but in standard circuit theory, R is treated as constant.
Simplifies AC circuit calculations
Provides a basis for understanding resonance
None, this is a fundamental material property
AC Circuit Design
Filter circuit calibration
Impedance matching
At DC (f=0), XLтАЛ acts as a short circuit and XCтАЛ acts as an open circuit.
The option 'R' remains constant across the entire frequency spectrum in ideal components.
C is correct тАФ Resistance (R) is a purely resistive parameter that does not depend on the frequency of the alternating current.
Always remember that while Reactance (X) depends on the 'speed' of the current (frequency), Resistance (R) depends solely on the 'path' (material and physical dimensions).