1.

Find the current in each cell considering circuit given in fig.

Answer»

SOLUTION :Applying kirchhoff.s law for the loop ABCDA
`6= 40i + (i_1 + i_2)10`
`6= 40i_1 + 10i_1 + 10i_2`
`6= 50i_1 + 10i_2""….(1)`
For the loop DCFED

`2=10(i_2 + i_2) + 50i_2`
`2 = 10i_1 + 10i_2 + 50i_2`
`2 = 10 i_1 + 60 i_2""......(2)`
From (1) and (2)
`290 i_1 = 34`
`i_1 = 0.1172 A ""......(3)`
Substituting (3) in (2)
`2 = 10 xx 0.1172 + 60i_2 , 2= 1.172 + 60i_2`
`60i_2 = 2 - 1.172 , i_2 = (2-1.172)/(60) =0.0138 A`
CURRENT in the 6V cell = 0.1172 A
Current in the cell = 0.0138 A


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