the current flowing in the branch BD is.
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use Kirchoff's rule for this..
by using this
we get
l1 is the current from 15v
and l2 is the current from 30v
15 = 6l1 + 3(I1+l2)...
15 = 9l1 +3l2 ....(1)
30=3I2 + 3(I1+I2)
30=3l1 + 6l2 ....(2)
multiply ...(2) by 3 then subtract ...(1) from it
we get
15l2 = 75
l2 = 5A
put this in ...(1)
we get
l1= 0
and the current in BD is l1 + l2 = 5+0 = 5A
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