Question

In the circuit shown in figure the total current supplied by the battery is

• A. 1A
• B. 2A
• C. 3A
• D. 6A

Answer 1

The correct option is B 2A

Here equivalent resistance of the circuit

$\frac{1}{R_1}\Rightarrow (\frac{1}{6}+\frac{1}{3})\Omega \Rightarrow \frac{1}{R_1}=\left(\frac{1+2}{6}\right)\Omega \Rightarrow R_1=3\Omega$

Resistance $R=\frac{1}{(3\Omega +3\Omega )}+\frac{1}{\left(3\right)}$

$\frac{1}{R}=\left(\frac{1}{6\Omega }\right)+\left(\frac{1}{3}\right)$

$\frac{1}{R}=\left(\frac{1}{6\Omega }\right)+\left(\frac{1}{3}\right)$

$\frac{1}{R}=3\Omega$

$I=\frac{6V}{3\Omega }=2A$