Question

Three resistors 1 $\Omega$, 2 $\Omega$ and 3 $\Omega$ are connected to form a triangle. Across 3 $\Omega$ resistor a 3 V battery is connected. The current through 3 $\Omega$ resistor is

• A. 0.75 A
• B. 1 A
• C. 2 A
• D. 1.5 A

Hint:

In parallel, branch current $I = V/R_{branch}$.

Answer 1

The Correct Option is B

Step 1: Analysis
The 1 $\Omega$ and 2 $\Omega$ resistors are in series, forming a 3 $\Omega$ branch.
Step 2: Parallel
This branch is in parallel with the 3 $\Omega$ resistor across the 3 V battery.
Step 3: Calculation
Current in the 3 $\Omega$ branch is $I = \frac{V}{R} = \frac{3}{3} = 1$ A.
Final Answer: (b)