Question

What is the current in the given circuit (Fig.)?

Options

• 3 A

• \[\frac{1}{3} \mathrm{~A}\]

• \[\dfrac{2}{3} \mathrm{~A}\]

• \[\dfrac{3}{2} \mathrm{~A}\]

Answer 1

3 A

Explanation:

The two 1 Ω resistors are connected in series.

\[ R_1=1+1=2\,\Omega \]

\[ =1+1\]

\[ =2\,\Omega \]

This 2 Ω combination is connected in parallel with another 2 Ω resistor.

\[ R=\frac{2\times2}{2+2}\]

\[ R=\frac{4}{4}\]

\[=1\,\Omega \]

Using Ohm’s law:

\[ I=\frac{V}{R}\]

\[=\frac{3}{1} \]

\[{=3\,A} \]