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Part €What is the power dissipated by the circuit? Express your answer using two significant figures_AZdBSubmitRequest AnswerPart DWhat are the voltmeter read...

Question

Part €What is the power dissipated by the circuit? Express your answer using two significant figures_AZdBSubmitRequest AnswerPart DWhat are the voltmeter readings across R and C? Express your answer using two significant figures_AZdVrms RSubmitRequest AnswerPart EExpress your answer using two significant figures_AZdSubmitRequest Answer

Part € What is the power dissipated by the circuit? Express your answer using two significant figures_ AZd B Submit Request Answer Part D What are the voltmeter readings across R and C? Express your answer using two significant figures_ AZd Vrms R Submit Request Answer Part E Express your answer using two significant figures_ AZd Submit Request Answer



Answers

(a) What is the rms current in an $R C$ circuit if $R = 5.70 \mathrm { k } \Omega$ , $C = 1.80 \mu \mathrm { F } ,$ and the rms applied voltage is 120$\mathrm { V }$ at 60.0$\mathrm { Hz }$ ? (b) What is the phase angle between voltage and current? (c) What is the power dissipated by the circuit?
(d) What are the voltmeter readings across $R$ and $C ?$

Welcome to the problem. Number thirty one point to go. This is thirty one Argun in England. So we have a circuit. So this is an in Dr Assistance and this is a capacitor. And this is the information given in your thirty one point to one question so we have and as he soars and the perimeters have given here. So the world is a close. The ward and acute across the assistance is twenty six world and Artus ninety six home. So we need to find out the average power delivered by the source. And you need to find out the every power delivered by the source using this information hit. So let's do these. So we have apron so fast we will use this course fi calls to are over there. So this is coming from the thirty one point two one exercise. So this is the result for thirty one point Oh, so we have about average because to be aramis, times I reminisce, goes fi and cause fires over are over there. So we have the animals. I reminisce times are over there, and we know that theorem is is it close to I m ISS time's jet. So we have question I reminisce times I, Aramis Zeb are over said so that instead cause away. So the excuses I Aramis square. Uh, and this is what we needed to find out. So we have proved the result off a pod. Now I'm going to the people. So we have hired a mons across. So we have the Aramis or were and Vietnamese. Is it close to be a work group too, Which is awarded them pickles. So we a average is itcause too V e r m s squared over r. So this comes out to be thirty six over too square over ninety six. So this comes onto with six point seven five. What? So that's your answer for this question? Thanks for watching them.

Right. Yeah. What, for instance, both for entering within budget? Well, this is it. Yeah. One I went and then you I have someone right On the other one. Yeah. Uh, when I could, you know, some stress hi for that. So you will get students. So Barbara, that is my What? However, the event. In other words, I saw us What father to drive into? Yeah. What what follows from my body that? Well, yeah. And power from them. They thought from that.

Let's look at average power in a l. R C Siri's circuit so we can start out with this equation where we know that our average power is equal to the VR mess. The RMS voltage times, the R M s current times, cosine of the phase angle. Now, if we want, we can express this in a number of different ways. So, for example, we can take advantage of the fact that Kassian Theta is also known as the power factor. And this is equal to our over Z. That means that we can rewrite this entire equation as power average equals V RMS I arm s times are a receipt, right? And now we can also take into account that, like we know that v RMS equals I r m s times the impedance, which means that we can turn that around and say, Hey, if we solve this for I arms, we can say I RMS equals v rms over Z. So that means that we can take RV arm s or a Z, and we can replace vrai m s over Z here. So that means that our entire equation at first is going to turn into I r m s times are arms I arms times are which is I r m s squared are so that gives us, like a one form of our average power In terms of the army's current, we can also get one in terms of the army's voltage. If we look at the fact that V RMS equals I arms are that's a form of homes law so we can rewrite our average power as we can rewrite this. Um, I rms squared If we consol this for I rms again, we get v rms over our So instead of I squared arm s, we could write this as v squared arm s over r squared times are Then we have our squared on the bottom and one on the side. So this turns us into V rms over our. So these ways are very similar to how we express power in a D. C circuit. And for an example, let's say we have our equals 96 owns and let's say we have that The amplitude of the voltage is 36 volts and we're looking for the average power so we can use our equation. We have V. R M s squared over R. Now, the important thing here is that this is the the, uh, amplitude of the voltage. So we have to use the fact that we know that the amplitude is actually equal to route to times the arms value, right? So so, like, what that means is that we know that this is going to be equal to 36 over route to squared over 96. And if we put that all into our calculator, that's going to give us 6.75 watts, and that's how you can.

Mhm. Thank you. Hi friends. Here it is given R. one is called to our to each of 10:00 and arteries can do 15 oh. An open circuit current is the upon our That is our one plus R. two. So when you will get 1 20 a point 10 plus 10, That is six. Champion. The potential difference ever. Uh huh. Across open circuit, we equally difficult to me to know. six and 2 10 30 60 words. Yeah, total registration of the system. Our three plys are gone into our two over urban pleasure to 15 plus 10 into 10/10 plus 10. That is continue so power dissipated I square arctic current is we is jubilant over higher. Total square into our total 60/20 plus 20 square and to convict So 45 watts. And that's all. Thanks for watching it.


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