I want to learn the solution of RC circuits by method of convolution with impulse response and input
and find zero state solution.However I couldn't understand clearly the using of the method. For example I have such question
and I wanted to use this method to solve this problem . I obtain impulse response of Vc and convolve with given input
as shown but I couldn't find desired answer.Can you give me insight ?
Best Answer
-Firstly You should find the impulse response of Vc for given impulses
differently.
-Then you know that capacitor acts like short circuit in impulse response .
-You find the impulsive current then find voltage by integrating the current in given t so you can find the impulse response.
-Secondly do the same thing for second input.
-For zero state solution you should convolve your first impulse response with first input waveform and second impulse response with second input waveform.
-Convolve 0 to t which you want to find zero state solution then add zero state solution to zero input solution.
I think this can be helpful.