In the following circuit, the magnitude of current $I _{ l }$, is $............A$.
JEE MAIN 2023, Diffcult
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Junction law at $A4$,

$\frac{x-(y+5)}{1}+\frac{x-2}{2}+\frac{x-0}{2}=0$

Junction law at $B$,

$\frac{y+5-x}{1}+\frac{y-0}{1}+\frac{y-2}{1}=0$

On solving equation (1) and Equation (2) $x =3$

$y=0$

At $D$ junction

$I_1 =i_1+i_2$

$I_1 =\frac{y-0}{1}+\frac{x-0}{2}$

$=\frac{0-0}{1}+\frac{3-0}{2}$

$I_1 =1.5\,A$

art

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