Step 1: Use Ohm's Law
Ohm's Law states that the current \( I \) through a resistor is given by:
\[
I = \frac{V}{R}
\]
where:
- \( V \) is the voltage across the resistor,
- \( R \) is the resistance.
Step 2: Substitute the given values
Given:
- Voltage \( V = 12 \, \text{V} \),
- Resistance \( R = 10 \, \Omega \).
Substitute these values into the formula:
\[
I = \frac{12}{10} = 1.2 \, \text{A}
\]
Answer: Therefore, the current flowing through the resistor is \( 1.2 \, \text{A} \). So, the correct answer is option (2).