Physics

Physics

Problem

Explain in brief why the inductive reactance of a coil increases with frequency, whereas the capacitive reactance of a capacitor decreases with frequency.
Intuitive explanation

Inductive and capacitive reactance behave oppositely because they represent opposite effects on current flow. In an inductor, a changing current induces a back-EMF proportional to how fast the current changes—higher frequency means faster changes, so stronger opposition (XL=ωLX_L = \omega L). A capacitor, by contrast, stores charge more readily at higher frequencies because the voltage across it changes faster, allowing charge to flow on and off the plates more easily (XC=1/ωCX_C = 1/\omega C). Think of it as: inductors resist change, while capacitors embrace it.

Intuitive explanation

Inductive and capacitive reactance behave oppositely because they represent opposite effects on current flow. In an inductor, a changing current induces a back-EMF proportional to how fast the current changes—higher frequency means faster changes, so stronger opposition (XL=ωLX_L = \omega L). A capacitor, by contrast, stores charge more readily at higher frequencies because the voltage across it changes faster, allowing charge to flow on and off the plates more easily (XC=1/ωCX_C = 1/\omega C). Think of it as: inductors resist change, while capacitors embrace it.

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