How Much Power Does an 18Ω Toaster Use on a 220V Source?

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Homework Help Overview

The problem involves calculating the power consumed by an 18Ω toaster connected to a 220V source, with participants discussing the appropriate application of electrical formulas.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the initial attempt to calculate power using the formula P=IV, questioning the appropriateness of this approach given the known resistance instead of current.

Discussion Status

Some participants have provided guidance on using Ohm's law to find a suitable equation for power that incorporates resistance. There is an ongoing exploration of how to correctly apply the formulas based on the given information.

Contextual Notes

There is a focus on ensuring the correct dimensions in calculations, and participants are navigating the relationship between resistance, current, and voltage as per Ohm's law.

tDexx
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Homework Statement


A toaster with 18Ω is conducted to a 220 volt source. What is the power consumed by the toaster.


Homework Equations


P=IV


The Attempt at a Solution


P=18(220)
P= 3,960
 
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tDexx said:

Homework Statement


A toaster with 18Ω is conducted to a 220 volt source. What is the power consumed by the toaster.


Homework Equations


P=IV


The Attempt at a Solution


P=18(220)
P= 3,960
You have multiplied the resistance by the voltage, the formula you stated was for current by voltage.
You need to incorporate Ohms law.
 
Although it seems annoying, it helps to keep re-writing your units to check if your answer has the correct dimensions.

P = IV is a good equation to use, but here you aren't given the current; you're given the resistance of the toaster. Try using Ohm's law to rearrange the equation for power and find an equation whose knowns are already given.
 
What do you mean?
 
Ohm's law relates the resistance, current and voltage of a circuit. Knowing this, you can solve for anyone (resistance, current, voltage) and put it in terms of the other two.
 

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