A circuit has a voltage of $12V$ across a resistor and a current of $2A$ flowing through it. According to Ohm's Law, what is the value of the resistor $r$?

• A. $6\Omega$
• B. $24\Omega$
• C. $0.17\Omega$
• D. $10\Omega$

Answer: (A)

Verified step by step guidance

1. Identify the known quantities from the problem: voltage \(V = 12\,\text{V}\) and current \(I = 2\,\text{A}\).
2. Recall Ohm's Law, which relates voltage, current, and resistance: \(V = I \times R\), where \(R\) is the resistance.
3. Rearrange Ohm's Law to solve for resistance: \(R = \frac{V}{I}\).
4. Substitute the known values into the formula: \(R = \frac{12}{2}\).
5. Calculate the resistance value by performing the division to find \(R\) in ohms (\(\Omega\)).