Certainly! Let's walk through the process step by step to find the resistance of the light bulb using Ohm's Law.
Step 1: Gather the Data
We need to know two values:
1. Voltage (V) across the light bulb.
2. Current (I) through the light bulb.
Given values are:
- Voltage (V) = [tex]\(12 \text{V}\)[/tex]
- Current (I) = [tex]\(2 \text{A}\)[/tex]
Step 2: Use Ohm's Law
Ohm's Law is defined as:
[tex]\[ V = IR \][/tex]
where:
- [tex]\( V \)[/tex] is the voltage,
- [tex]\( I \)[/tex] is the current,
- [tex]\( R \)[/tex] is the resistance.
To find the resistance, we rearrange the equation to:
[tex]\[ R = \frac{V}{I} \][/tex]
Step 3: Calculate the Resistance
Substitute the given values into the formula:
[tex]\[ R = \frac{12 \text{V}}{2 \text{A}} \][/tex]
[tex]\[ R = 6 \text{Ω} \][/tex]
Conclusion
The resistance of the light bulb is [tex]\(6 \text{Ω}\)[/tex].
### Summary
- Voltage (V): 12V
- Current (I): 2A
- Equation used: [tex]\( R = \frac{V}{I} \)[/tex]
- Calculated Resistance (R): 6Ω
This is the resistance of the light bulb based on the given voltage and current values.
