Question

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

• A. 2.5 and 3
• B. 3.5 and 2
• C. 4.5 and 1
• D. 3 and 2.5

Answer 1

Answer: (C)

KVL in loop abgha
$20I_1=50$
$I_1=2.5A$
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 $=I_1+I_2$
$=2.5+2.0$
$=4.5A$
current through 30V battery $=I_3=1A$