A 9.3 µF parallel plate capacitor ischarged to a voltage of 11 volts. The source is then disconnectedand a dielectric of k = 3.26 is added. Calculate the potenti...

A dielectric slab with thickness $d$ and dielectric constant $\kappa=2.31$ is inserted in a parallel place capacitor that has been charged by a $110 .-\mathrm{V}$ battery and has area $A=100 . \mathrm{cm}^{2}$ and separation distance $d=2.50 \mathrm{~cm} .$ a) Find the capacitance, $C$, the potential difference, $V$, the electric field, $E$, the total charge stored on the capacitor $Q$, and electric potential energy stored in the capacitor, $U$, before the dielectric material is inserted. b) Find $C, V, E, Q,$ and $U$ when the dielectric slab has been inserted and the battery is still connected. c) Find $C, V, E, Q,$ and $U$ when the dielectric slab is in place and the battery is disconnected.

Is this question. We have to, I think, who capacitors said it conducted in paranoia in se Inquire charge of Q Not when they're connected. Who source of footage be not so the voltage. So after that, fully charged several changes. Clothes is that disconnected, and after it's disconnected, A Di elected a directive was K equals 312 is insurgent to feel the space between the plate and one of the contestants. So we need to determine the eh? What is now was a charge of each capacitor to our Q t. And now what is voted JJ across the capacity. So, um, let's look at initially it is each capacitor wires are charge of Q. Not, um, we will get a total charge of two times Q not, and this charge will remain on the cheek or passengers after Zack disconnected from battery. But they may not distribute. Distribute evenly across this, too. Um, so after a new material is inserted, that's, um, say's it is inserted into C one RC two courses. See what? Because it's too, too. Because the material is deserted, city becomes a larger this look, so it's not a charge will go from C went to see huge and the chains that they have the same footage. So Christie's voltage would always be the same. That means cure receive security, overseas you. Which is to say Cuban overseen because security seat you with your body is Kate. I see one because the dialectic material que chu is because they add up to the two times kid, not future equals two times. Cute. Not my rescuer. We can rearrange this equation to have killed what equals two over Cape Husband through. Not, and here is a dialectic. Has, um, a peasant co official Super too. So it's two over for petite. You're not, which is, um, which for eight you're not. And cue chewed equals two top student fairness to one, which is 1.5 teach you that. And this part they impart a more defensible to just floated will be the same for Cuba future. So that's just find it for Cuba, for Cuba. Oh, for see once the footage equals charge divided by Zika passages, it's the charge is your 0.48 q dot and the capacitors see one. We do not know what C one is, but we know previously. It has against the charge of cure, not want to be what you just feed out. So we were right askew. 95 feet up. So this gives us 0.48 you know, And this will be used the same for the past, just you.

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

In the we have a productive capacity. Okay then with electric we've been unknown. Yeah. Thanks. And then we know that ah, you know, which is residents without donald trump is 3.6 07 micro parent and thing is correct. Oh mm ah provides seven point which we vote potential difference and we are even the and to pull they're like ballpoint. Yeah. Okay. Well no, find out. So solve this problem. Mm Using you. Right and right there. I think the prime. Mm do not so energy find it. That would be great. Now when you have. That's right, right and right that she connected. So the work that will be your primary. All right. Yeah. So we have, oh, it's you know, right. Thanks. You know, we expect to rise thing and we Not be square times car bomb and it's one. Okay, so we can played the coppa, yep. Okay, so we have two times w by, you know, the square one numbers And then the last one as you get fine. So this is the answer question and that's all

So in this problem, well, we have to capacity. So we know that pyramid tow the area's Ah, eh, The separation is the and, ah, the charge on the capacitance. See, I ask you, are you so, uh, in part A. We want to determine the Electra feud between two plates. You okay? So we need to utilize the gold says law to do that. So basically, we just a draw in close the enclosed thio voting like here. We just draw this, Linda. And because for the ah, for the pastor Ah, there is only electro field between two plates. There is no electric field are outside of the old off this, uh, pastor. So we have e times s as is the area of this side. Yeah, So e times s equal to the charge enclosed by this Ah, shape. So the charges equals sequel Times s over absolute were signifies the charge, then study on the plate. So you see that this equally equal Ah, absolute by Sigmund the other absolute knots. And because we already know the ah, cue the queues. Tow the charge for this pastor and also window area so we can re express the Sigma's Cube. Do you know about a time Simpson, Walt? Right. So this is Elektra feud between two plates and in part B. Ah, we want to figure out the electric fee. Other. The potential difference being two plates. So the sim pickle to eat. I'm Steve. He's the one that went on here. And these the separation. So this gives you Q times d the over a, perhaps after knots. Right. And Parsi won't figure out the expression of the capacities. So see it. Call Q u a r v ray. So these the potential difference and curious through charge. And you just plant this results into this expression. You see that the video is a times absolute over D. So this is identical, as you see from the textbook, Yeah.