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Rlc Series Ac Circuits 5

Date post: 23-Feb-2018
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    XL XC

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    R XL XC

    I0 = V0Z

    I

    = V

    Z

    I0 V0 Z

    Z R XL XC VR VL VC

    R L C VL VC VR

    V = VR+ VL+ VC V

    VR VL VC VL VC

    V0 R L C

    V0 =V 20R + (V0L V0C)

    2

    ,

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    V0R V0L V0C R L C

    V0 = I0Z

    V0R = I0R V0L = I0XL V0C=I0XC

    I0Z=I 20 R

    2 + (I0XL I0XC)2

    =I0R2 + (XLXC)

    2

    I0 Z

    Z=R2 + (XLXC)

    2

    R= XL = 0 XC= 0

    L C V

    = I

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    Z=R2 + (XLXC)

    2

    XL = 1

    XC= Z=R2 +(XLXC)

    2

    Z =R2 +(XLXC)

    2

    =

    ( 0 )2

    + (1 )2

    =

    XL = XC= 3

    Z =

    ( 0 )2

    + ( 3 )2

    =

    XL XC

    I

    I

    =V

    /ZI

    = V Z

    =

    = 0

    I

    = V Z

    =

    = 0

    I

    =V

    /Z Z Z=R2 + (XLXC)

    2

    I

    = V

    R2 + (XLXC)

    2

    XL XC f0

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    Z=R I

    f0

    XL = XC

    XL XC

    2f0L= 1

    2f0C

    f0

    f0 = 1

    2

    f0 f0 Z=R I

    f0 f0

    I

    f0

    f0

    V0

    I

    V

    f0 = 12

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    L C f0 f0 = 12

    f0 = 12 = 1

    2

    (3 3 )(5 6 )= 1

    I

    =

    V

    Z =

    = 3

    V I

    =R

    Z

    Z= R = 1 = 0 I

    P

    =I

    V

    ,

    = 1

    40.0

    V

    f= 0

    =R

    Z

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    Z

    = 0

    5

    = 0

    = 1 0 =

    P

    =I

    V

    .

    I

    P

    = (0 ) ( ) (0 ) = 2

    = 1 I

    P

    = (3 ) ( ) (1) =

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    f0

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    Z

    I0 =V0Z

    I

    =V

    Z ,

    I0 V0

    Z=R2 + (XLXC)

    2

    f0 XL = XC

    f0 = 1

    2

    V I

    =R

    Z

    = 0

    P

    =I

    V

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    40.0 Z Z

    40.0 Z

    3 5 F Z

    2.00F

    2.50 100H 80.0F

    V

    = 5 I

    I

    1.00 k 150H

    V

    = I

    I

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    2.50 100H 80.0F

    f= 120 Hz

    1.00 k 150H f = 7.50 Hz

    200 45.0 V

    =

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    40.02

    193

    Z = 531 Z = 190

    529 185

    1.31H

    12.8 k 1.31 k

    80.9

    Z=R2 + (XLXC)

    2

    f0 = 1

    2


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