Question

What is the current through the resistor $2\Omega$ in the circuit shown in figure.

• A. $5/2A$
• B. $5/3A$
• C. $10/3A$
• D. $3/2A$

Answer 1

The correct option is A $5/2A$

Equivalent circuit of the above figure is shown.

Net resistance of $3\Omega$ and $6\Omega$, $R_{AB}=3\parallel 6=\frac{3\times 6}{3+6}=2\Omega$

Net resistance of $4\Omega$ and $4\Omega$, $R_{CD}=4\parallel 4=2\Omega$

Thus equivalent resistance of the circuit $R_{eq}=2+(6\parallel 6)=2+3=5\Omega$

Current flowing through the battery $I=\frac{V}{R_{eq}}=\frac{25}{5}=5$ A

$\therefore$ Current through $2\Omega$, $I^{\prime }=\frac{I}{2}=\frac{5}{2}$ A