What is the maximum instantaneous power that the resistance must withs

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SUMMARY

The maximum instantaneous power for a hair dryer rated at 1700 W and 110 V rms is calculated using the formula P = V²/R. Given that the resistance of the heating element is 7.12 ohms and the rms current is 15.45 A, the peak voltage is approximately 155.56 V. Substituting these values into the instantaneous power formula yields a maximum instantaneous power of 3,000 W.

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  • Understanding of electrical power formulas, specifically P = V²/R.
  • Knowledge of root mean square (rms) voltage and current concepts.
  • Familiarity with Ohm's Law and resistance calculations.
  • Basic grasp of AC circuit behavior and peak voltage calculations.
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  • Study the derivation and application of the formula for instantaneous power in AC circuits.
  • Learn about the differences between rms and peak values in electrical systems.
  • Explore the implications of resistance on power consumption in household appliances.
  • Investigate power factor and its effect on real-world electrical devices.
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Electrical engineers, students studying circuit theory, and anyone involved in appliance design or energy efficiency assessments.

lizaliiu
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1. A hair dryer has a power rating of 1700 W at 110 V rms. Assume the hair dryer circuit contains only resistance.



2. The peak voltage is sqrt2 * rms voltage.



3. I got my esistance of the heating element is 7.12ohm and the rms current drawn by the hair dryer is 15.45A. But I am not sure how to get the maximum instantaneous power.
 
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hi lizaliiu! :smile:

hint: instantaneous power = V2/R :wink:
 

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