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Question

Consider a circuit consisting of a lightbulb and an inductor,
as shown in Conceptual Example 24-14. If the frequency of the
generator is increased, does the intensity of the lightbulb increase,
decrease, or stay the same? Explain

João Gabriel Alencar Caribé · Accepted Answer

The brightness of the light bulb is related to the average power that consumes, which is even by the R. M s current squared times. The resistance off that light bulb we are modeling a lightbulb essentially as a resistor. No, Our question is the following. By increasing their frequents off the surface, what happens to the R. M s current in that circuit? Towards for that question, we have to remember that the remans voltage is it cost to the R. M s current times the impudence. Now we can solve for the currents to get the following the current Is it close to the voltage divided by the impedance? And now remember that in this case we have any doctor and the resistance. So the impudence is given by the square it off the resistance a squared plus the reactor&#x27;s off that in Leuchter squared under devoted and remember that the reactor&#x27;s off. Any doctor is given by the frequency, multiply it by the victims. So by increasing the frequency, we are increasing, the reactors have been doctor. So we are increasing the denominator off these equation and because of that, we are decreasing the RMX currents that flow for that circuit, and as a consequence, we are also decreasing the average power consumed by the light bulb, which results in the light bulb that do not shine as motors use it too. So it&#x27;s Deemer now, then the intensity of the light bulb decreases.

João Gabriel Alencar Caribé · Answer

in the first time thing, we have to consider the reactive capacitance off the capacitor, which is given by one divided by the frequency times the capacitance now no silly following. If we increase this frequency, their reactors will decrease. And by decreasing the reactions ah, the capacity behaves more and more like an open circuit. So what happens is that more current who flew through the capacitor and the ball will shine brighter. Because, remember, the bright news off the boat is related to the power that consumes and the power that is consumed by the boat. It&#x27;s proportional to the square off the current, then more current means more brightness in that light bulb. So again, the intensity of the light both increases as we increase the frequency off the source. Now, for the second item, we have to choose among the options. The better explanation for what you have just explained on the wound. That switch it better is the 2nd 1

Manish Kumar · Answer

in this question in this village of only one point bump in the circuit. So we&#x27;re trying Tuckett like this one. Now, this is going to be enough source now the condition of seeing their mobile curriculum planner do this one. So this will look like this one. There&#x27;s working well for and now this is one more ball and we just completed like this earned. OK, so this is the battery conclude the same. So battery is also same. So the condition in saying that the battery it seems so this will be And here this is B and we can say that the distances do you see him Because the Barbara identical or if it is not identical, it will not different anymore. But they&#x27;ve taken for more no convenience. So our regular will now nothing worked out upon to because we know that the battle So this will become our upon to. So you can see the residency decreasing in this. Yes, and our is a role for the all matter. Because the residents off the combination of panel communism to register it on with the lesser than the lesser value off the one single resident distance so distance really integrate all the cases and for the current currently call Toby upon also are is in degrading so current will be increased and current will be higher.

Manish Kumar · Answer

push under conditions. Given that Ah, don&#x27;t your resistance and there&#x27;s about. So the bulb is contracted with Bobby&#x27;s character to a battery so we can see this disease, the bottle. And now this is corrected toe a battery. So this is gonna go too badly. So that is relevant, which is retired resistance so far, be under the burly. So, no. In the second case, you can see that patients of the batteries this wonderful it is to be. And now there is one more will country to the city. Syria should put it this way. So now the circuit will look like this one. There is well, when there is more, one more bottle and vicious contrato cities with this one and now batteries the same. So we can say that that&#x27;s the better. So this is our one and August garden so aren&#x27;t necessarily just are warned and out of handle is nothing worked. All right, One last article because both hard in the city so we can see that distances in creating this case. So there is justice in grazing And now that this is B to be no by all slough, buy homes wounds throughout we know B equals IR or rather R equals B upon our. So the consistency is encouraging. So the current really big ridge will be executed. All this question we have to know.

Manish Kumar · Answer

in. It was put in this two part. That one bulb which is going to go back, right. So this is the security were drawing records. You want more clarification? So this is a surrogate Dennis&#x27;s look like this one. So support the apparently has European ball vaginal distance are so in this case, the current will be done. Nothing but be upon our by Wilmslow. And now this This entire circular character the parallel with pie vel So you&#x27;re drawing circuit for the new condition there when will appear and one more welfare, one more welfare like this The buyer five all of which are industries And now and this is contracted This is this single bulb in the barrel communism. So we&#x27;re drawing here on data security, obviously the battle of it Country club battery off him if the so we have a rent all the cigarette here and now the question is saying that what happened to the resistance in current? So you know all the balata Identical. So this is a hard This is our This is our all the survivor distance are because all the data identical and it does not make sense that that it is identical or not. But for more convenience we&#x27;re taking an illegal because if they&#x27;re not radical, then began to stream process the question. But hey, we can not. You can say their directness of bulb dispel a Bellville North because the potential difference about this one is not changing. So the current will not change through this. This well have this is be aware And here you can see the article and articulate with heart happen are acquitted. Are equivalent will Nothing. But this is pie bar and this is our so didn&#x27;t decide in the parallel. So this will contribute five into one upon six. This will become prior upon six are so if you can clearly see here, Doctor, the resistance is decreasing in this case. And now for the well of current, I totally would be upon five upon 600 which will nothing worked six upon fire. While so currently is engaging in this case, I understand too degrading

Yaqub Khan · Answer

when savage is open, then light one like toe and ally tree are in serious condition. So equal and resistance is he called to uh, plus are less are is that is sense up each light well of physical too Are so we get article in physical too She, uh this is the equal interests and when so which is open. So when so which is it closed then? Lighty light to is short Don&#x27;t so equal interest since in this case will become article in physical toe are plus r So we get article in physical too. Why so uh Oh in this case Well so which is closed Lite Grann Passing room light too physical to zero So the bullet will not blow Industy have this bowl of we love to decreases after closing the switch When so which is it closed then lied to shut it out on DDE It could land resistance off the circuit Decreases from she are two You are ISS Garentina circuit is in worse Republican toe article And when are you Clint Decreases Then current for entrance or good will increase So the power dissipation be Is it going toe? I still get our If I goes off, then power dissipation through any jester will also increase is after closing. No sewage going through light one and light tea increases. So this implies that intensity of light, but one and three increases.

Problem

A $4.40-\mu \mathrm{F}$ and an $8.80-\mu \mathrm{…

Problem 74 Medium Difficulty

Consider a circuit consisting of a lightbulb and an inductor,
as shown in Conceptual Example 24-14. If the frequency of the
generator is increased, does the intensity of the lightbulb increase,
decrease, or stay the same? Explain

Answer

see explanation

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