Question

In the given circuit the current through the cell is:

• A. $\frac{4}{3}A$
• B. $\frac{5}{3}A$
• C. $\frac{1}{3}A$
• D. $\frac{2}{3}A$

Answer 1

The correct option is D $\frac{2}{3}A$

Equivalent resistance in series is given by $R_{eq}=R_1+R_2$

Hence, equivalent resistance in the two branches is given by

$R_{eq}=1+1=2\Omega$

Equivalent resistance in parallel is given by $\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}$

Hence, equivalent resistance in the two branches is given by

$\frac{1}{R_{eq}}=\frac{1}{2}+\frac{1}{2}=1\Omega$

Equivalent resistance in series in the final circuit is given by

$R_{eq}=1+1+1=3\Omega$

Using Ohm's law

$I=\frac{V}{R_{eq}}=\frac{2}{3}A$