Question

What is the resistance of a conductor if the potential difference across it is 12 V and the current flowing through it is 3 A?

• A. 4 \( \Omega \)
• B. 6 \( \Omega \)
• C. 9 \( \Omega \)
• D. 12 \( \Omega \)

Hint:

Remember: Ohm's law relates voltage, current, and resistance. Resistance is equal to the voltage divided by the current.

Answer 1

The Correct Option is A

Step 1: Apply Ohm's Law Ohm's law defines the relationship between voltage (\( V \)), current (\( I \)), and resistance (\( R \)) as:\[V = IR\]Step 2: Isolate Resistance Reconfigure the equation to solve for resistance \( R \):\[R = \frac{V}{I}\]Step 3: Input Provided Data Provided values:- \( V = 12 \, \text{V} \),- \( I = 3 \, \text{A} \).Insert these values into the equation:\[R = \frac{12}{3} = 4 \, \Omega\]Result: The conductor's resistance is \( 4 \, \Omega \). This corresponds to option (1).