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Integrated ConceptsA short circuit in a 120 -V appliance cord has a $0.500-\Omega$ resistance. Calculate the temperature rise of the 2.00 g of surrounding materials, assuming their specific heat capacity is 0.200 $\mathrm{cal} / \mathrm{g} \cdot^{\circ} \mathrm{C}$ and that it takes 0.0500 s for a circuit breaker to interrupt the current. Is this likely to be damaging?

$\Delta T=857^{\circ} \mathrm{C}$

Physics 102 Electricity and Magnetism

Chapter 20

Electric Current, Resistance, and Ohm's Law

Current, Resistance, and Electromotive Force

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

University of Winnipeg

McMaster University

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it is given that an appliance with the word ish So we just start writing the duty here. So what? H. Weezy quit, too. 1 20 words. You're a distance denoted as our because given as a 0.5 homes said only material with masa, so cap is equality two grams and specific. IT capacity, which is generally C, is equal to 0.2 calories per grand. Big tree senses and time it takes for the circuit breaker, which we wouldn't be dusty, given a 0.5 seconds. And here we need to calculate the temperature rise, which is generally as Delta T is equality, homage and whether it is likely to be damaging or not. So you start with the solution for this step. Number one refers right down the formula for power Power is equal to rape, off change off energy divided by the time so they're formerly denoted as BZ were too changing energy as Delta V appointee. Therefore, don't die easy quick to be multiplied by t. Now let's mention this as recreation one on a suit. Power is equal to the square. Do I get that are now Put this around you in aggression. One will get changing. Energy is equal to be in Turkey, which is we square multiplied by de derided by our It's considered this as equation, too. Now step number two hear heat energy is denoted. Ask you summation. Cuba is equal to heat. Energy is defined as the amount of energy which is needed to raise the temperature off, say, one kilogram of substance by one degree Celsius. It is further given us m into sea into Delta 30. But M sent for months. See sense for specific it capacity under 30 gox temperature change And let's this is to be a Grecian three Now. Now we need to re create here Digression too. And tweet. So therefore was right here that his we square key upon our is equal to mm and you're seeing to their daddy. And from this we can calculate the temperature change as the square in gritty upon him in Krissy, into our Now let's put the values. Yeah, these 1 20 words. So what do you do? This squared off it in good time. A Tzeitel borns your five seconds Moss has given us two grams well replied by we'll take the resistance value, which is Europe on firearms. Next is we need the specific it capacity, which is, you know, 0.2 calories per gram degree senses. And here we are, multiplying eight by 14.1 It good. You know why we're doing it? Because since one calorie, I'll write it down when calorie is equal to pull 0.1 juice. So therefore, by calculating this temperature change, we get the values 8 61 going two for four. Do the senses. So hands in order to write down Sure this will you Off temperature change is actually pretty high if and yeah, definitely it would. Since it is pretty high, it will likely damage circuit and

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