R i Jar cos att/sinat y cos ot L cos at= Relet The complex source is ve! The complex response isI, e/( ortp KVL: Ri+L dtUs RI ej(at+)+JaLIm ej(at+p)=V ear RIme/ +jalim ep=m Imn p(r+jOL)=v tan or e/p t R R+jOL R+0L R2+2L2 p=-tan R i(t)=Im cos(at+p) cos(at-tan R+0 Re t j t j t    = cos + sin cos Re[ ] j t t e   = The complex source is . j t m V e  The complex response is . j(t+ ) m I e s dt di KVL: Ri + L = j t m j t m j t RIm e j LI e V e      +  = ( + ) ( + ) m j m j RIm e + j LI e =V    ( tan ) 2 2 2 1 R L j j m m m e R L V R j L V or I e     − − + = + = m j I m e (R + jL) =V  R L  1 tan− = − 2 2 2 R L V I m m + = ( ) cos( ) cos( tan ) 1 2 2 2 R L t R L V i t I t m m      − − + = + = V t  s = m cos − + R i L