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A capacitor c1 is charged to potential difference v1. thebattery is then removed and the capacitor is connected to anuncharged capacitor c2.. what is the potential ...

Question

A capacitor c1 is charged to potential difference v1. thebattery is then removed and the capacitor is connected to anuncharged capacitor c2.. what is the potential difference across c1and c2 respectively?

a capacitor c1 is charged to potential difference v1. the battery is then removed and the capacitor is connected to an uncharged capacitor c2.. what is the potential difference across c1 and c2 respectively?



Answers

A 100 pF capacitor is charged to a potential difference of $50 \mathrm{V},$ and the charging battery is disconnected. The
capacitor is then connected in parallel with a second (initially
uncharged) capacitor. If the potential difference across the first capacitor drops to $35 \mathrm{V},$ what is the capacitance of this second
capacitor?

In this question we have to capacities you want and see to connect in series. He then is connected to a power supply with a potential difference. We not And then Yeah, And then each of them has B one and B two. Right? And so we want to express we want we want to be too in terms of C1 C2 and be not me go to do this question um in serious we need to know that in serious connection. Mhm. We want us we two is equal to lean on and then Q one is equal to Q to get the charged on. Each capacitor are the same. So this means that the one, B one goes to see to me too. Okay, so 25? We won. Okay, this is what we can do. So we have we actually have two equations, one in two. Yes, so from two Um we want is equal to see to oversee 12. So you can actually put this into uh the difference equation. Okay, so you can get uh me too to be C one, C 2 or C one. Yeah this is able to, you know, so we too is C one or C one C two, you know? Uh huh. So when he sees Me Too Me and to find the one. Mhm. Yes. Ah you get this right C. two with you one time for me to yeah To see one SV 2 and then if you look at V. Two, so you have C two over C one, C two, hence we know, okay, so this is our we want what? Okay, and that's all for this question.

Is this question We usually had the isolated ambassador see, Wasthe carries a tragic you not is here. Now it is selected to another posture that itsy choose that initially has no charge. And when asked what What's charged? Willie Cherry? That's what is it you want? Q tip to what will be the potential difference across each? So it is first about it as first initially, uh, see what has charged or not? And it carries a boat ege off. You're not oversee. Want a slow take? People's charged over plaster passages, so it has a focus that is not zero, but see to initially has zero voltage So the current will flow and she'll see what and see tooth are exercising footage is then nothing will happen. Every single stabilised So, uh, seems full, have etched the end AT T equals infinity. We're here to relationship. What is it you want equals? Beat you chess? You won over. See what equals few to oversee, too. And there's a relationship is because this is absolutely system, so the total charge will be or not change initiatives until the projects you're not. After the afterwards. Such little charge will be to a rescue to issue. He's the same. This is their son. Shit is the same issue. Not so. These are two equations we have. Uh, so from is this equation from Equation one? We can't pluck it. Welcome. Plucked you two into one. So that would get you one over. See what people's cute you is. You're not minus Q R over CTU. So from tears because your imagination of Cuba, right, So we have to wait. Was she knows? I've seen work divided by See what, plus seat you. So this is you want and we have a queue to back. You two equals. You know, I asked you what? Because you don't have to see to over see one prostitute. So this is a charge off a pasta. What to is a second mission possible teacher crosses and no dish that you have the same footage. So mean what equals future? Because, yes. Used master fund, you oversee one. So is this Q one. Do you mind if I see? Well, you can see it's cute notch divided by sea. Well blasted. You

Before looking at the potential energy in a capacity. Uh, and we want to know what happens when different parameters go up and down. What we wanna do is restless, very equation. So the potential energy and a capacitive his equal to warn has and you could passiveness times you're changing potential squared. So I'm going to use a factor of two for trying to figure out what happens here, because that's a pretty easy number to do with. So if I have my capacitance and I change your by a factor of two what happens here? So if I take two times my capacitance, then my potential energy ends up through tons of potential energy. Even with this factor to here, I'm just multiplying everything by a factor of two. Essentially. So now the little bit trickier. One If I increase my potential, that factor of two. But I actually have to do square it here. So this is going to go to four times don't in the square. So I end up with more times my potential energy that I end actually had

All right, So, uh, for this problem, initially, we have to Pastor connect syrian. See? Risk connected was a battery. We see one C two b is ah, 300 volts. See, Wise, uh, to michael Varies and see two is eight. Okay, so, uh, we can find out the voltage across the onesie to and charge stored on them. So because they're in serious connected, So basically V one, we'll be able to be time C two C one plus two. All right, so this gives you to 40 volts and the two equal to V time. See one C one plus C two. This is 60 volts. So we're gonna find out the charge based on B one B to soak you want equal to C one V one. So this is for 80 micro corpse. And because see onesie to then serious, serious connected, so Q one equal two. Cute, too. So they post equal to 4 80 and the next step, we disconnect the battery and we reconnected the C one and C two with the same way we have the same sign. Ah, I mean connected plate with this ensign. So that means we have this set up. So there's a possible site supposed inside neck, always positive side navy inside. Connect with native site. Ah. Then we want to find out the new distributed charge in the voltage across the onesie to so, uh, because because the post of side is naked with the post. Decide. So basically the charges of conserved in this set up. So we have Q one prime plus que tu prime equal to the initial charge. Stone, are you okay? One. Thank you too. So that it will be a Cuba class. Cute, too. Okay, so Q one Q to you here and then Because, as you can see, that c one sea to the Navy imperil that case we have kyu won prime oversee one equal Que tu prime oversee too. Okay, so we have these two equations and we have to Ah, no verbals. That is key. One prime que tu prime. So we can sew for the Cuban prime equal to, uh, 1 92 micro corms Acute, sir. Prime equal to Ah, let me see. Seven, 68 micro corpse. Yeah, and we can find out the body across them because he won See to their connecting peril. So they have the same body. They have the same voltage. So the one prime equal veto crime equal Q one prime over C one. So this result is that 96 force and then we have another another set up, that is, we connect them with the opposite side. So this is a positive negative, and this is negative is a positive okay. And in this case, because we again we have Q one prime prime plus que tu prime prime. Because the positive now is connected the ways that *** sign, which that was a positive side it is, is now connected with the negative side. In this case, the whole charge is extra zero. Okay, because you wiII initially equal to cute too. And now it is Cuban minuscule to sew it zero a game. We have Q one prime prime oversee one equal to you to prime prime oversee too. So easily we can see that's a Cuban preference equaled secure to prime front. You go zero. So there is no charge thought on them anymore and because there is no charge. So there's nobody to cross the Soviet one prime from equal to be to print from zero. Okay,


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