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  4. In the circuit shown, current (in A) through the 50 V and 30 V batteries are, respectively :

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Q. In the circuit shown, current (in A) through the 50 V and 30 V batteries are, respectively :Physics Question Image

JEE MainJEE Main 2014Current Electricity

Solution:

image
KVL in loop abgha
$20 \,I_{1}= 50$
$I_{1} = 2.5\, A$
KVL in loop abcdefgha
$50 - 5I_{2} - 30 - 5I_{2} = 0$
$I_{2} = 2A$
KVL in loop cdefc
$30 = 10 \left(I_{2} + I_{3}\right)$
$\Rightarrow I_{2} + I_{3} = 3$
$I_{3} = 3-2$
$= 1A$
$\therefore $ Current through 50 V battery is $= I_{1}+ I_{2}$
$= 2.5 + 2.0$
$= 4.5 \,A$
current through 30V battery $= I_{3} = 1A$