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An alarm clock has a resistance of 14000 ohms and is plugged into a 120-volt outlet. How much power does the clock use?

User Ggorlen
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Final answer:

The alarm clock with a resistance of 14000 ohms plugged into a 120-volt outlet uses approximately 1.0286 watts of power, calculated using the power formula P = V^2 / R.

Step-by-step explanation:

The student is asking how much power an alarm clock uses when it is plugged into a 120-volt outlet and has a resistance of 14000 ohms. To find the power (P) consumed by the alarm clock, we use Ohm's law and the power formula P = V^2 / R, where V is the voltage and R is the resistance.

By substituting the given values into the formula, we get:
P = 120^2 / 14000. This calculation gives us P = 14400 / 14000, which further simplifies to P = 1.0286 watts (rounded to four decimal places). So, the alarm clock uses approximately 1.0286 watts of power.

User Fazlu
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