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: \( V = 12 \, \text{V} \), \( I = 3 \, \text{A} \). Step 1: Apply Ohm's Law Ohm's Law: \( V = I \times R \), where \( V \) is voltage, \( I \) is current, and \( R \) is resistance. Step 2: Isolate Resistance Rearrange Ohm's Law to solve for \( R \): \( R = \frac{V}{I} \). Step 3: Calculate Resistance Substitute the given values: \( R = \frac{12 \, \text{V}}{3 \, \text{A}} = 4 \, \Omega \). Answer: The resistance is 4 \( \Omega \), corresponding to option (1).