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Unreasonable Results(a) A certain parallel plate capacitor has plates of area 4.00 $\mathrm{m}^{2}$ , separated by 0.0100 $\mathrm{mm}$ of nylon, and stores 0.170 $\mathrm{C}$ of charge. What is the applied voltage? (b) What is unreasonable about this result? (c) Which assumptions are responsible or inconsistent?

a) $4.8 \times 10^{4} \mathrm{V}$b) The voltage applied for accumulating the charge is too high.c) The area of the capacitor plates is unreasonably large. So the applied voltage is high to accumulate the required charge.

Physics 102 Electricity and Magnetism

Chapter 19

Electric Potential and Electric Field

Electric Charge and Electric Field

Gauss's Law

Electric Potential

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to solve this question. Let's look at the given information. We were given the area off the capacity of plate. That's full meter square, which is separated by 0.1 millimeter of nylon. So capacitance here will be upset or not. Okay, a divided by D. So also, we are given the charge, which is equal to 0.17 Cool. So see that this judge is very high to replaced on this capacitor. But that's the part, Toby answered in question. See? So let's find out. The applied voltage secure is equal to see the from that you can find the V. That's applied Voltage Cube. I see. We don't know. See it? So let's find, see first sees it will tow absolute not, which is eight point 85 times 10 power narrative 12 times took a pass. The dialectic constant off nylon, which is 3.4 so multiplied by area, which is four on. It's separated by 0.1 millimeter. So 0.1 times 10 power in a 2 to 3 majors. So let's calculate it. 8.85 times, 3.4 times four. This is This gives me 1 20.36 times 10 Power Negative. Seven That it on. Now let's use this information to find a V. Since we are given the charges. 1.7 is your opponent 17 divided by 1 20.36 So the answer will be in this case there. Stand power. Negative. Seven is well, so the E is equal to one point for one times 10 power forth vote. So this is 14.1 kilovolt on DDE. In the next part, it asks us about the question. Asks us about Reza. Unreasonable nous off this result. Now let's find out what's the dialectic strength off the nylon dialect of strength off nylon is 14 times 10 Power six World for meter. Let's find out Ah Boyle put me to hear So dialect to strength is district abbreviated as the S is equal to in this case, which is 14.1 times 10 hour full, divided by the distance, which is zero point 02 times it's your point. So this is your 0.1 times 10 power negative three, which is equal to 14.1 times 10 power night to see that this is very high compared to this. So this capacity cannot be formed. If you applied such a high voltage this there will be something known as die electric Greater on and in part seat asks us about what? Which assumption are responsible for this? So one major assumption is that Dutch is 0.17 club. This is very high charged to be placed on this capacitor with the area off full meter square on separation, distress or 0.1 Thank you for listening.

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