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Vinay
Lv 4
Vinay asked in Science & MathematicsPhysics · 9 years ago

what is the current passing through 5 ohm resistor in given circuit ?

http://imageshack.us/a/img62/4374/77930044.png

please give some simple jumped steps

1 Answer

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  • Madhukar
    Lv 7
    9 years ago
    Favorite Answer

    Refer to the figure in the link as under:

    http://www.flickr.com/photos/52771834@N00/80636875...

    Your figure is redrawn in paint changing nomenclature ABDC to ABCD.

    Currents, x, y and z and their combinations are shown in different branches.

    For the loop ABD,

    6x - 2y + 5z = 0 ... ( 1 )

    For the loop ABC,

    5z + 6(y+z) - 2(x-z) = 0

    => 2x - 6y - 13z = 0 ... ( 2 )

    For the loop BCD,

    6(y+z) + 2y + 2(x+y) = 10

    => 2x + 10y + 6z = 10 ... ( 3 )

    Solving eqns. ( 1 ), ( 2 ) and ( 3 ) using Wolfram Alpha,

    http://www.wolframalpha.com/input/?i=6x+-+2y+%2B+5...

    z = - 0.4 A

    => current through 5 ohm resistor is 0.4 A.

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