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: Use Ohm's law Ohm's law states that the relationship between voltage (\( V \)), current (\( I \)), and resistance (\( R \)) is: \[ V = IR \] Step 2: Rearrange to find the resistance Rearranging the formula to solve for resistance \( R \): \[ R = \frac{V}{I} \] Step 3: Substitute the given values Given: - \( V = 12 \, \text{V} \), - \( I = 3 \, \text{A} \). Substitute these values into the formula: \[ R = \frac{12}{3} = 4 \, \Omega \] Answer: Therefore, the resistance of the conductor is \( 4 \, \Omega \). So, the correct answer is option (1).