Q. In the circuit shown, the currents $i_1$ and $i_2$ are ___________

Physics Question Image

KCET KCET 2011Current Electricity

A

$i_1 = 1.5 A,\, i_2 = 0.5 A$

B

$i_1 = 0.5 A,\, i_2 = 1.5 A$

C

$i_1 = 1 A,\, i_2 = 3 A$

D

$i = 3 A,\, i_2 = 1 A$

Solution:

$R\:=\:\frac{12\:\times 4}{12\:+\:4}\:+\:2\:=\:5\:\Omega \:$
$\:\:I\:=\:\frac{E}{R\:+\:r}=\:\frac{12}{6}\:=\:2\:A\:$
$\:\:\:I_1\:+\:I_2\:=\:2A\:$
$\:I\:\propto \frac{1}{R}\:\therefore I_1\:=\:0.5A,\:I_{2\:}=\:1.5A$