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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.

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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:

P=V×I P = V \times I

where P P is the power, V V is the voltage, and I I is the current.

2. Relevant Concepts

From the information given:

  • Voltage (V V ) = 12 V
  • Current (I I ) = 0.5 A

Using the formula for power, we can substitute the values for V V and I I .

3. Analysis and Detail

Substituting the known values into the formula gives:

P=12V×0.5A P = 12 \, \text{V} \times 0.5 \, \text{A}

Now, we perform the multiplication:

P=6W P = 6 \, \text{W}

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 6W 6 \, \text{W} .

This problem has been solved

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