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  4. The magnitude of current i in ampere unit is

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Q. The magnitude of current i in ampere unit isPhysics Question Image

ManipalManipal 2018

Solution:

Applying Kirchhoffs law in the given figure.
At junction $A$
$i+i_{1}+i_{2}=1 \ldots$ (i)
For loop (1)
$-60 i+(15+5) i_{1}=0 $
$\Rightarrow i_{1}=3 i \ldots$ (ii)
For loop (2)
$-(15+5) i_{1}+10 i_{2}=0 $
$\Rightarrow i_{2}=2 i_{1}=6 i \ldots $ (iii)
On solving Eqs. (i), (ii) and (iii), we get
$i=0.1\, A$