Fundamental Physics/Electronics/Frequency Response

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Resistor[edit]

For lossless resistor

For lossy resistor


Capacitor[edit]

AC response of a capacitor connected with AC voltage source

Lossless capacitor[edit]

Its reactance is calculated by

take Fourier transform

For lossless capacitor , frequency response can be determin by
 . At frequency equals to zero , capacitor acts as open circuit switch
 . At frequency equals to infinite , capacitor acts as open short switch
 . Capacitor operates at cut off frequency

Lossy capacitor[edit]

take Fourier transform

Frequency response can be determin by

. At frequency equals to zero , capacitor acts as open circuit switch
. At frequency equals to infinite , capacitor acts as open short switch
. Capacitor operates at cut off frequency

Inductor[edit]

AC response of a capacitor connected with AC voltage source

For lossless inductor , its reactance is calculated by

take Fourier transform

For lossless inductor , frequency response can be determin by
 . At frequency equals to zero , inductor acts as short circuit 
 . At frequency equals to infinite , inductor acts as open circuit
 . Inductor operates at cut off frequency 

For lossy capacitor

take Fourier transform