Question

The total current supplied to the given circuit by the battery is

• A. 9 A
• B. 6 A
• C. 2 A
• D. 4 A

Answer 1

The correct option is B 6 A

The equivalent circuit of the given circuit is as shown
Resistances $6\Omega$ and $2\Omega$ are in parallel$
$\therefore R^{\prime }=\frac{6\times 2}{6+2}=\frac{3}{2}\Omega$
Resistance $\frac{3}{2}\Omega$ and $1.5\Omega$ are in series
$\therefore R"=\frac{3}{2}+1.5=3\Omega$ Resistance $3\Omega$ and $3\Omega$ are in parallel
$\therefore R=\frac{3\times 3}{3+3}=\frac{3}{2}$
The current, $I=\frac{V}{R}$
$=\frac{9}{\frac{3}{2}}=6A$