Current and Resistance (with a flashback to work I think)

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SUMMARY

The discussion revolves around calculating the current and resistance of a small immersion heater used in a car, which has a claimed efficiency of 60%. The heater is tasked with heating 200 mL of water from 5°C to 95°C in 9.0 minutes. The user, Mike, initially approaches the problem using the formula I = P/V and seeks guidance on determining the work required for heating the water. The solution involves calculating the power needed, adjusting for efficiency, and then applying the formulas I = P/V and V = IR to find the current and resistance.

PREREQUISITES
  • Understanding of thermodynamics and heat transfer principles.
  • Familiarity with electrical power formulas, specifically I = P/V and V = IR.
  • Basic knowledge of efficiency calculations in electrical systems.
  • Proficiency in unit conversions, particularly for temperature and volume.
NEXT STEPS
  • Calculate the power required to heat water using the formula Q = mcΔT.
  • Learn about efficiency in electrical devices and how it impacts power calculations.
  • Explore Ohm's Law and its applications in real-world electrical systems.
  • Investigate the thermal properties of water and their implications in heating applications.
USEFUL FOR

This discussion is beneficial for electrical engineers, physics students, and anyone involved in designing or analyzing heating systems in automotive applications.

Mjannell
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Hello,
Iam having difficulty with the following problem...

3. [GianPSE3 25.P.042.] A small immersion heater can be used in a car to heat a cup of water for coffee. Assume the manufacturer's claim of 60 percent efficiency. If the heater can heat 200 mL of water from 5°C to 95°C in 9.0 min, approximately how much current does it draw from the 12 V battery?
What is its resistance?

my approach is as follows...

I=P/V=(W/T)/V

Is this a reasonable approach? If so a gentle prod towards determineing the work would be most helpful, I'm having a case of rusty brain.
With current, the resistance isn't a problem.

Thank You!

Mike
 
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Start by figuring out how much power is needed to heat the water in the given time. Then, taking into account the efficiency, figure out how much electrical power the heater must use. Then you can use I = P/V to find the current. And V = IR to find the resistance.
 
Thanks, I got it sussed out.

sorry that it took so long for the gratitude, I'm only online once a week or so.

Mike
 

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