When an electric lamp is connected to 12V battery, it draws a current 0.5A. Find the power of the lamp.
Question
When an electric lamp is connected to 12V battery, it draws a current 0.5A. Find the power of the lamp.
Solution
1. Break Down the Problem
To determine the power of the lamp, we need to use the relationship between voltage, current, and power. This relationship is given by the formula:
where is the power, is the voltage, and is the current.
2. Relevant Concepts
From the information given:
- Voltage () = 12 V
- Current () = 0.5 A
Using the formula for power, we can substitute the values for and .
3. Analysis and Detail
Substituting the known values into the formula gives:
Now, we perform the multiplication:
4. Verify and Summarize
The calculation shows that the power consumed by the lamp under the given conditions is 6 watts. This is consistent with the formula since multiplying the voltage by the current accurately gives the power.
Final Answer
The power of the lamp is .
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