Converting an expression: from angular frequency to Laplace variable $ s =j omega$

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I have the expression:



$$Z=fracAsqrtomega+fracAjsqrtomega$$



$$Z=A sqrtfracjs+fracAjsqrtfracjs$$



I'm trying to get an expression with s variable, but it is very difficult. Can someone help me please?



If in the expression there are both s and j (e.g. $ 1+js$), is it right?



Thank you in advance.




laplace-transform education




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    up vote
    1
    down vote

    favorite












    I have the expression:



    $$Z=fracAsqrtomega+fracAjsqrtomega$$



    $$Z=A sqrtfracjs+fracAjsqrtfracjs$$



    I'm trying to get an expression with s variable, but it is very difficult. Can someone help me please?



    If in the expression there are both s and j (e.g. $ 1+js$), is it right?



    Thank you in advance.




    laplace-transform education




    share|cite|improve this question
























      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      I have the expression:



      $$Z=fracAsqrtomega+fracAjsqrtomega$$



      $$Z=A sqrtfracjs+fracAjsqrtfracjs$$



      I'm trying to get an expression with s variable, but it is very difficult. Can someone help me please?



      If in the expression there are both s and j (e.g. $ 1+js$), is it right?



      Thank you in advance.




      laplace-transform education




      share|cite|improve this question














      I have the expression:



      $$Z=fracAsqrtomega+fracAjsqrtomega$$



      $$Z=A sqrtfracjs+fracAjsqrtfracjs$$



      I'm trying to get an expression with s variable, but it is very difficult. Can someone help me please?



      If in the expression there are both s and j (e.g. $ 1+js$), is it right?



      Thank you in advance.





      laplace-transform education





      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Aug 9 at 17:06

























      asked Aug 9 at 17:01









      Gennaro Arguzzi

      301312




      301312




















          1 Answer
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          Hint: substitute $$omega=dfracsj$$can you finish now?






          share|cite|improve this answer




















          • Hello @MostafaAyaz, I followed your hint. Is an expression with s and j correct?
            – Gennaro Arguzzi
            Aug 9 at 17:09










          • Sure! Why not? If your inverse Laplace function intrinsically contains $j$ you have no other option for example take $x(t)=ju(t)$ where $u(t)$ is the step function. The Laplace transform would then be $$dfracjs$$which contains both $s,j$
            – Mostafa Ayaz
            Aug 9 at 17:12










          • Thank you for your hint @MostafaAyaz.
            – Gennaro Arguzzi
            Aug 9 at 17:15










          • You're welcome! Hope it helps...
            – Mostafa Ayaz
            Aug 9 at 17:16










          Your Answer




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          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes








          up vote
          1
          down vote



          accepted










          Hint: substitute $$omega=dfracsj$$can you finish now?






          share|cite|improve this answer




















          • Hello @MostafaAyaz, I followed your hint. Is an expression with s and j correct?
            – Gennaro Arguzzi
            Aug 9 at 17:09










          • Sure! Why not? If your inverse Laplace function intrinsically contains $j$ you have no other option for example take $x(t)=ju(t)$ where $u(t)$ is the step function. The Laplace transform would then be $$dfracjs$$which contains both $s,j$
            – Mostafa Ayaz
            Aug 9 at 17:12










          • Thank you for your hint @MostafaAyaz.
            – Gennaro Arguzzi
            Aug 9 at 17:15










          • You're welcome! Hope it helps...
            – Mostafa Ayaz
            Aug 9 at 17:16














          up vote
          1
          down vote



          accepted










          Hint: substitute $$omega=dfracsj$$can you finish now?






          share|cite|improve this answer




















          • Hello @MostafaAyaz, I followed your hint. Is an expression with s and j correct?
            – Gennaro Arguzzi
            Aug 9 at 17:09










          • Sure! Why not? If your inverse Laplace function intrinsically contains $j$ you have no other option for example take $x(t)=ju(t)$ where $u(t)$ is the step function. The Laplace transform would then be $$dfracjs$$which contains both $s,j$
            – Mostafa Ayaz
            Aug 9 at 17:12










          • Thank you for your hint @MostafaAyaz.
            – Gennaro Arguzzi
            Aug 9 at 17:15










          • You're welcome! Hope it helps...
            – Mostafa Ayaz
            Aug 9 at 17:16












          up vote
          1
          down vote



          accepted







          up vote
          1
          down vote



          accepted






          Hint: substitute $$omega=dfracsj$$can you finish now?






          share|cite|improve this answer












          Hint: substitute $$omega=dfracsj$$can you finish now?







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Aug 9 at 17:06









          Mostafa Ayaz

          9,1033630




          9,1033630











          • Hello @MostafaAyaz, I followed your hint. Is an expression with s and j correct?
            – Gennaro Arguzzi
            Aug 9 at 17:09










          • Sure! Why not? If your inverse Laplace function intrinsically contains $j$ you have no other option for example take $x(t)=ju(t)$ where $u(t)$ is the step function. The Laplace transform would then be $$dfracjs$$which contains both $s,j$
            – Mostafa Ayaz
            Aug 9 at 17:12










          • Thank you for your hint @MostafaAyaz.
            – Gennaro Arguzzi
            Aug 9 at 17:15










          • You're welcome! Hope it helps...
            – Mostafa Ayaz
            Aug 9 at 17:16
















          • Hello @MostafaAyaz, I followed your hint. Is an expression with s and j correct?
            – Gennaro Arguzzi
            Aug 9 at 17:09










          • Sure! Why not? If your inverse Laplace function intrinsically contains $j$ you have no other option for example take $x(t)=ju(t)$ where $u(t)$ is the step function. The Laplace transform would then be $$dfracjs$$which contains both $s,j$
            – Mostafa Ayaz
            Aug 9 at 17:12










          • Thank you for your hint @MostafaAyaz.
            – Gennaro Arguzzi
            Aug 9 at 17:15










          • You're welcome! Hope it helps...
            – Mostafa Ayaz
            Aug 9 at 17:16















          Hello @MostafaAyaz, I followed your hint. Is an expression with s and j correct?
          – Gennaro Arguzzi
          Aug 9 at 17:09




          Hello @MostafaAyaz, I followed your hint. Is an expression with s and j correct?
          – Gennaro Arguzzi
          Aug 9 at 17:09












          Sure! Why not? If your inverse Laplace function intrinsically contains $j$ you have no other option for example take $x(t)=ju(t)$ where $u(t)$ is the step function. The Laplace transform would then be $$dfracjs$$which contains both $s,j$
          – Mostafa Ayaz
          Aug 9 at 17:12




          Sure! Why not? If your inverse Laplace function intrinsically contains $j$ you have no other option for example take $x(t)=ju(t)$ where $u(t)$ is the step function. The Laplace transform would then be $$dfracjs$$which contains both $s,j$
          – Mostafa Ayaz
          Aug 9 at 17:12












          Thank you for your hint @MostafaAyaz.
          – Gennaro Arguzzi
          Aug 9 at 17:15




          Thank you for your hint @MostafaAyaz.
          – Gennaro Arguzzi
          Aug 9 at 17:15












          You're welcome! Hope it helps...
          – Mostafa Ayaz
          Aug 9 at 17:16




          You're welcome! Hope it helps...
          – Mostafa Ayaz
          Aug 9 at 17:16












           

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