Heating Water Using Circuit Resistor

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SUMMARY

The discussion focuses on calculating the time required to heat 104 grams of water from 10.5 degrees Celsius to 58.5 degrees Celsius using a 20-ohm resistor in a circuit. The heat capacity of water is specified as 4190 J/kg·°C. The assumption is made that the surrounding Styrofoam acts as a perfect insulator, preventing any heat loss. A key takeaway is the importance of significant figures in the final result, which should be adjusted for accuracy.

PREREQUISITES
  • Understanding of Ohm's Law (V=IR)
  • Knowledge of electrical power calculations (P=VI)
  • Familiarity with heat transfer concepts
  • Basic principles of thermodynamics, specifically heat capacity
NEXT STEPS
  • Research the calculation of heat transfer in resistive circuits
  • Learn about the significance of significant figures in scientific calculations
  • Explore the properties of thermal insulation materials
  • Study the relationship between electrical power and thermal energy
USEFUL FOR

This discussion is beneficial for physics students, electrical engineers, and anyone involved in thermal management or energy transfer calculations in resistive circuits.

Canadian
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Homework Statement



In a circuit a 20-ohm resistor sits inside 104 g of pure water that is surrounded by insulating Styrofoam, there are additional resistors in the circuit.

If the water is initially at temperature 10.5 degrees celsius, how long will it take for its temperature to rise to 58.5 degrees celsius?
Use 4190 as the heat capacity of water

Homework Equations



V=IR P=VI

The Attempt at a Solution



I assumed that the styrofoam was a "perfect" insulator did not absorb any heat or allow any to escape.

Does this work.
 

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Canadian said:

Homework Equations



V=IR P=VI

The Attempt at a Solution



I assumed that the styrofoam was a "perfect" insulator did not absorb any heat or allow any to escape.

Does this work.
Your work and the answer are fine, except that you have too many significant figures in your result.

AM
 

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