MCQ
The current from the battery in the given circuit is ................ $A$
- ✓$1$
- B$1.5$
- C$2$
- D$3$
✓
Answer
Correct option: A.
$1$
a
According to figure,
According to figure,
Applying Kirchhoffs law in mash $(I)$
$2 i_1+6 i_1-6 i_2+8 i_1+0.5 i_1-15=0$
$16.5 i_1-6 i_2=15 \ldots . \text { (I) }$
Applying Kirchhoff's law in mash $(II)$
$7 i _2+ i _2+10 i _2+6 i _2-6 i _1=0$
$24 i _2-6 i _1=0$
$4 i _2- i _1=0$
$i _1=4 i _2 \ldots \ldots \text { (II) }$
After solving of equation $(I)$ and $(II)$
Then,
$16.5 \times 4 i _2-6 i _2=15$
$66 i _2-6 i _2=15$
$60 i _2=15$
$i _2=\frac{1}{4} A$
Now put the value of $i_2$ in equation $(I)$
$i_1=4 i_2$
$i_1=4 \times \frac{1}{4}$
$i_1=1\,\,A$
Now, the current from the battery in the circuit is $1\,\,A$.
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