Question

In the circuit shown in figure, the value of R is

• A. 1 $\Omega$
• B. 2 $\Omega$
• C. 3 $\Omega$
• D. 4 $\Omega$

Answer 1

Answer: (B)

2 $\Omega$

Answer 2

The voltage across all parallel branches is the same.

For the top branch: $V = 6\text{ A} \times 1\, \Omega = 6\, \text{V}$

For the middle branch: $V = 2\text{ A} \times 3\, \Omega = 6\, \text{V}$

For the bottom branch: Given $I = 3\text{ A}$, and $V = 6\, \text{V}$, using Ohm's law $R = \frac{V}{I} = \frac{6}{3} = 2\, \Omega$.