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A parallel-plate capacitor is made of aluminum chips separatedby an insulating material of thickness of 2 * 10 ^ -5 meters, ifthe area of the capacitor plate is 0.7...

Question

A parallel-plate capacitor is made of aluminum chips separatedby an insulating material of thickness of 2 * 10 ^ -5 meters, ifthe area of the capacitor plate is 0.75 m ^ 2 and the voltagedifference between the two plates is 30 volts, knowing that k =2.3.calculate :a- the charge in each plates .b- electric field inside the insulation material

A parallel-plate capacitor is made of aluminum chips separated by an insulating material of thickness of 2 * 10 ^ -5 meters, if the area of the capacitor plate is 0.75 m ^ 2 and the voltage difference between the two plates is 30 volts, knowing that k = 2.3. calculate : a- the charge in each plates . b- electric field inside the insulation material



Answers

A parallel-plate capacitor with plate area $A=2.0 \mathrm{m}^{2}$ and plate separation $d=3.0 \mathrm{mm}$ is connected to a $45-\mathrm{V}$ battery (Fig. 40 $\mathrm{a} )$ . (a) Determine the charge on the capacitor, the electric field, the capacitance, and the energy stored in the capacitor. (b) With the capacitor still connected to the battery, a slab of plastic with dielectric strength $K=3.2$ is placed between the plates of the capacitor, so that the gap is completely filled with the dielectric. What are the new values of charge, electric field, capacitance, and the energy $U$ stored in the capacitor?

To the capacitor topic in which we have a parallel plate capacitor having plate area equals to 2.5 plant bait. And to the power minus three m square. And plate spacing small D. Equals to 0.50 Okay so for the part we have to determine the capacitance of the capacitor. So for the parallel plate presidencies of Saleh note is divided by a small date. So if Saleh note is 8.85 player bait. And to the power minus 12. And area is 2.5 player bait. And to the power minus three m square, divided by spacing which is 0.50 0.50 rate. And to the power minus three m. So from here after solving captures it and see comes out to be zero point double 439 Oh okay. So this becomes the answer for the part of the problem. Okay now for the part B we have to determine The charge store and energy when it is connected with battery v equals to 50 walls. So charges store queue, it is equals two cv. So see which is 0.2 double 43 nano. Farid potential is 50 world. So from here we get charged store Q. That is equal to 22.125 nano. Cool. Um So this becomes the answer for the charge store. Okay now we can calculate the energy stored. So energy store you. It is equal to one by two Cv square. So substituting values one x 2 and c is 0.2 double 4 3 into 10 to the power minus nine. Federal. And we which is 50 rolls of 50 square. So from here energy store you comes out to be 5 53 nano jewels. So this becomes the answer for the energy store. Okay?

So the capacitance is found from Equation 17-7, with the voltage given by 17-4. So Q here is equal to see Time's V, which is equal to see Time's the electric field times the distance. D Therefore, the capacitance, uh, go ahead and write that down here C is equal to Q divided by the electric field. E times the distance D, Which queue here is equal to 0.6 75 times 10 to the minus six. Cool ums. The electric field e is equal to 8.24 times 10 to the fourth. And that's gonna be volts per meter that's gonna be multiplied by the distance D, which is equal to 1.95 times 10 to the minus three meters. Oh, so plugging those values in this expression, we find out the capacitance C is equal to 4.2 times 10 to the minus nine fair acts so we can box it in this part of our solution to the question. Okay, so now the play area here is gonna be found from Equation 17-9, which says that the past in C is equal to the dialect. Her constant K of the material times? Absolutely not. The vacuum permeated the of free space times, the area divided by the distance between D. So the area A is equal to the capacitance See which we've just found times D same distance in the previous part when we solved for the capacitance divided by the dye electric constant K, which were told, is equal to 3.75 times Absalon not which is the Vacuum Perm utility of free space. It's equal to 8.85 times 10 to the minus 12 Coolum squared times Newton per meter squared and this is equal to 0.247 This is gonna be meter squared weaken box. That in is the solution.

In this question, It would give it there. Is it Captain stood up. Remember place. And between the there is a strictly law. It quite to four. And don't tend to give our poor bull per meter. And the constant of the blade is you white. Seven. Fight the separation between the makes off the Kappa Studies 1.95 and 10 to the power off minus three meters. If the chart on the place of the captain stories y 775 micrometer, that is a 0.77 pipe into 10 to the power bi six school up that we have to calculate that Kappa skins and area off Beach people, please. Since there is little the electric field with me, that place understands the potential difference. But wind up leads me in Jordan. At cap assistance will be charged. Hold what unit? Potential difference that you about in duty, not substitute. And that is filled with updated eight Quite who for? In tow? 10 to the power six and districted, 1.95 in tow. Tendo de powered by this. Then you saw already on simplify the tapestries we are getting for quite in tow. to tend to the bar minus seven. Parrot, did you read it? My prophetic. No area of the place can be calculated by the bad luck after that, not a appointee. Prosperity played, so your place would be No. We are substituting the value here, Captain Street to be a major. Well, quite a doing. 10 to the power off minus seven. Distance between the plated value of the electric. Constant is 3.7 pipes on. He had it. Okay, 30. So the doing the production here and better club after noughties ate quite a fight. I can't do the by my guest. Well, on solving you will get Aereo. That meant to be 28 23 meters square.

Everybody. So for this, one of you's got applause. Communication botched calculated 92 field and we need Teoh use like you feel Jimmy A and use results are from a cup stir. So for a we have Eric Energy and I code that cape are meg energy Kinetic energy. Find a equals Q. The charge time uber Let's not. Okay, so we have kinetic energy of D A, which is K or K times e my bad. So k times the energy equals also not good. And we do now is energy equals K goals Upset not K a area. Now see what else pull down to be B is e guts you d lips on, not K area. Okay, And that is your answer for that. And now or C, we have a cop says times Q Overbey, which is gonna equal to he Absolutely I k a de Okay. And so if the errors between the plate just see not absalon area highs D n and we filed the ratio of the CEO, see, Not so this way she is gonna be absolutely not ok. A over d divided by absolute, not a over de were not being paid by itself. Okay, so the dye electric constant is gonna be K equals C oversee not or the sea, which is


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