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Chapter 7: Problem 23

An electrical supply company sells two models of 100 -watt power supplies (the maximum power output is \(100 \mathrm{~W}\) ), one with an output of \(12 \mathrm{~V}\) and the other \(6 \mathrm{~V}\). What can you conclude about the maximum current that the two power supplies can produce?

Short Answer

Expert verified
Answer: The 100-watt power supply with an output of 12V can produce a maximum current of 8.33 A, while the 100-watt power supply with an output of 6V can produce a maximum current of 16.67 A.

Step by step solution

01

Solve the power formula for current (I)

The power formula is P = IV. We want to find the maximum current that each power supply can produce, so we need to solve this equation for I. To do this, we divide both sides of the equation by V: I = P/V
02

Calculate the maximum current for the 12V power supply

For the 12V power supply, we know that the maximum power output is 100W and the output voltage is 12V. Using the formula from Step 1, we can find the maximum current: I = P/V = (100W) / (12V) = 8.33 A The maximum current that the 12V power supply can produce is 8.33 A.
03

Calculate the maximum current for the 6V power supply

For the 6V power supply, we know that the maximum power output is 100W and the output voltage is 6V. Using the formula from Step 1, we can find the maximum current: I = P/V = (100W) / (6V) = 16.67 A The maximum current that the 6V power supply can produce is 16.67 A.
04

Conclusion

Based on the calculations, we can conclude that the 100-watt power supply with an output of 12V can produce a maximum current of 8.33 A, while the 100-watt power supply with an output of 6V can produce a maximum current of 16.67 A.

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