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Answer:
Applying Kirchhoff's 2nd law for closed circuit AFEBA
24 + 2I(1) + 6I(2) = 27
2I(1) + 6I(2) = 3. -----[1]
Applying Kirchhoff's 2nd law for closed circuit BCDEB
4I(3) + 6I(2) = 23. -----[2]
According to Kirchhoff's 1st law
I(1) + I(3) = I(2)
Now from equation
-----[1]. 2I(1) + 6I(1) + 6I(3) = 3
8I(1) + 6I(3) = 3 ------------[3]
-----[2]. 4I(1) + 6I(1) + 6I(3) = 27
6I(1) + 10I(3) = 27 --------[4]
Multiplying equation [3] by 3
It will be.
24I(1) + 18I(3) = 9 --------[5]
Multiplying equation [4] by 4
It will be.
24I(1) + 18I(3) = 108 --------[6]
Now from equations [5] & [6]
( Substracting equa. [5] from equa.[6] ).
I(3) = 9/2
Now putting the value of I(3) in equa. [3]
I(1) = -3
Now putting the value of I(1) in Kirchhoff's first law
i.e. I(1) + I(3) = I(2)
I(2) = 3/2
Hence , the value of I(1) = -3 , I(2) = 3/2 and I(3) = 9/2.
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