Question

Resistances 1 \( \Omega \), 2 \( \Omega \), and 3 \( \Omega \) are connected to form a triangle. If a 1.5 V cell of negligible internal resistance is connected across the 3 \( \Omega \) resistor, the current flowing through this resistor will be

• A. 0.25 A
• B. 0.5 A
• C. 1.0 A
• D. 1.5 A

Hint:

For resistors in a triangle configuration, the total resistance can be calculated using the equivalent resistance formula, and then apply Ohm's law to find the current.

Answer 1

The Correct Option is B

Step 1: Calculate the equivalent resistance of the triangle.
Using the formula for resistors in a triangle configuration, we can find the equivalent resistance and use Ohm’s law to calculate the current through the 3 \( \Omega \) resistor.
Step 2: Apply Ohm's law.
\[ I = \frac{V}{R} = \frac{1.5}{3} = 0.5 \, \text{A} \]
Final Answer: \[ \boxed{0.5 \, \text{A}} \]