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r l laplace

3
= + ( 2 + 2 ) = ( + ) = ( 2 + 2 )( + ) = 2 + 2 ( + ) = [ + + − + ( + ) ] 1 2 + 2 ( + ) = 1 + − ( + ) = [ + + − + ( + ) ] = 1 −2(− + ) = 1 −2 2 − 2 = 1 −2( + ) = − 2( + ) = 1 + ( + ) = 1 2( + ) = 2(− + ) = 1 (− ) 2 + 2 = 2 ( 2 + 2 ) = − 2 + + + 2− + − + 2 2 + 2 + = −1 2 + 1 + + 1 2− + 1 − + 2 + 2 1 + = −1 2 + − + 1 2− + + 2 + 2 − = −1 2 + + 1 2− + cos + 1 2− + + 1 2 + sin + 2 + 2 − −1 2 + + 1 2− + = 1 2 − + + + − + = 1 2 2 [−() 2 + − − 2 ] = − ( 2 +() 2 ) 1 2− + + 1 2 + == 1 2 + + − + − + + = − ( 2 + 2 )

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circuito R L resuelto con laplace

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  • = +

    (2 + 2)= ( + )

    =

    (2 + 2)( + )=

    2 + 2 ( +)

    =

    [

    + +

    +

    ( +)

    ]

    1

    2 + 2 ( +)

    = 1

    + ( +)

    = [

    + +

    +

    ( +)

    ]

    = 1

    2 ( +)

    = 1

    22 2

    = 1

    2( + )

    =

    2( + )

    = 1

    + ( +)

    = 1

    2( +)

    =

    2( + )

    =1

    ()

    2 + 2 =

    2

    (2 + 2)

    =

    2 +

    + +

    2 +

    +

    2

    2 + 2

    +

    = 1

    2 +

    1

    + +

    1

    2 +

    1

    +

    2 + 2

    1

    +

    = 1

    2 + +

    1

    2 + +

    2 + 2

    = 1

    2 + +

    1

    2 + cos +

    1

    2 + +

    1

    2 + sin

    +

    2 + 2

    1

    2 + +

    1

    2 + =

    1

    2

    + +

    + + =

    1

    2

    2

    [()2 + 2]

    =

    (2 + ()2)

    1

    2 + +

    1

    2 + ==

    1

    2

    + + +

    + + =

    (2 + 2)

  • =

    (2 + ()2) cos +

    (2 + 2) sin +

    2 + 2

    =

    (2 + ()2) cos +

    (2 + 2) sin +

    2 + 2

    =

    2 + ()2

    2 + ()2 cos +

    2 + ()2 sin +

    2 + 2

    cos =

    2 + ()2

    sin() =

    2 + ()2

    =

    2 + ()2 sin() cos + cos() sin +

    2 + 2

    =

    2 + ()2 sin cos cos sin

    +

    2 + ()2

    2 + 2

    Rgimen transitorio

    =

    2 + ()2 sin cos cos sin =

    2 + ()2sin( )

    iwL

    R

    = 2 + ()2

  • Expresin general de

    =

    sin +

    2 + 2


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