Electric Circuit Analysis

7.8    The Sinusoidal Steady-State Response

The  steady-state  response  component  in  linear  time-invariant  circuits  obeys 

superposition principle.

The second method will be to obtain the steady-state response for a cosw t input as the real part

of steady-state response to a complex exponential function e

jw t

and the steady-state response for a

sinw t input as its imaginary part. The underlying reasoning is that since cosw t is the real part of

e

jw t

, the response for cosw t must be the real part of response for e

jw t

. It looks intuitively evident.

But this turns out to be true only for linear circuits. This will be true only if the ...