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: Use Ohm's Law \( V = I \times R \) to calculate resistance, and rearrange the formula to solve for \( R \) when given \( V \) and \( I \).

Answer 1

The Correct Option is A

Given: The potential difference \( V = 12 \, \text{V} \), and the current \( I = 3 \, \text{A} \). Step 1: Use Ohm's Law Ohm's Law is given by: \[ V = I \times R \] where: - \( V \) is the potential difference (voltage), - \( I \) is the current, - \( R \) is the resistance. Step 2: Rearranging the formula to solve for resistance Rearranging the formula to solve for \( R \): \[ R = \frac{V}{I} \] Step 3: Substitute the given values Substitute \( V = 12 \, \text{V}, \, I = 3 \, \text{A} \) into the formula: \[ R = \frac{12}{3} = 4 \, \Omega \] Answer: The correct answer is option (1): 4 \( \Omega \).