the-resistance-in-an-rlc-circuit-is-doubled-a-does-the-resonance-frequency-increase-decrease-or-stay

Question

The resistance in an RLC circuit is doubled. (a) Does the
resonance frequency increase, decrease, or stay the same? Explain.
(b) Does the maximum current in the circuit increase, decrease, or
stay the same? Explain

João Gabriel Alencar Caribé · Accepted Answer

the first item. We remember that the resonant frequency is F because too one divided by two pi times the square it off. L time see So the resonant frequency itself do not depend on the resistance. So it doesn&#x27;t change by doing the resistance. And these is there. Sort off the first item for the maximum current. We&#x27;ve gotta remember the following the are a master voltage that is furnished by the source. Is it close to the R. M s current times the impudence on the circuit through Let&#x27;s take a look at Howell. Impedance is related to the resistance. Impedance is the cost of the square root off the resistance is squared plus the difference between the reactant squared now Not that by increasing the resistance, we are increasing the impudence found they are a mass current is given by the voltage divided by the impedance. So by increasing the impudence, we are decreasing the current and remember the maximum current as equals two the R. M s current times the square root off to then decreasing the army&#x27;s current means that we are also decreasing the maximum current and finally the current will decrease if we increase the resistance because the increase in the resistance will cause an increase in the Penis

João Gabriel Alencar Caribé · Answer

in the first item, we change our setup to another one. We have a capacitance see prime because 22 times see and I in victims l prime equals to two times El And then what will happen to that resonant frequency under that change? So the resonant frequency is given by one divided by two pi times the square it off l time see number four. After the change, our resident frequency F prime will be equals through one divided by two pi times the square root off l PrimeTime See prime. No. Using these information, we get that our new frequency will be f crime that easy coz true to buy times the square root off four l c under one No stats that denominator have increase it because of that change, then the frequency will decrease after that change in there for the answer to the first item is that the resonant frequency will decrease after changing both the capacitor on Dr No on the second item, we have to actually calculate what is that new resonant frequency when a terrible both being booked us on the capacitance and it&#x27;s very easy to do by using these expression. We can find a relation between both both resonant frequencies. F prime is equals two too quiet times too, Because we have a square it off more. Here, I&#x27;m the square root off l time see under one that we can recognize. These terms here has bean the old, resonant frequency. Then the new resonant frequency is he goes to the old resonant frequency divided by two which is equals to 155 divided by two and easiest 7 to 7 0.5 hertz.

João Gabriel Alencar Caribé · Answer

the restaurant frequency in on our little scene, sir, Quit is getting by the falling relation. The frequency is equals to one divided by the look tense times the capacitors Now remember the following by adding a new capacitor in sceneries with the existing one, we will get a new equivalent capacitance that is a smaller than the previous one. So what happened with the frequency is that as we decrees the capacitance, the frequency will increase So the resonant frequency will increase when we add in a capacitor in Siri&#x27;s with the existing one. And the best explanation before that&#x27;s phenomenal is turned one.

Mayukh Banik · Answer

we have bought frequency equals one of our to buy Spoiled off one over l c. So it is independent up the voltage it depend off the resistance. So f prime stairs unjust. 200 in the hearts And using this form that we would have f prime. It was one of our Dubai school. I rode one over as over do times to see it was f equals 200 que the heart.

João Gabriel Alencar Caribé · Answer

in the first item. We just have to remember that the co sign off the phase is he goes true. The resistance divided by the impedance and then the impedance is because to the resistance divided by the co sign off the phase, the resistance is 5 to 5 homes. Onda face is 30 degrees, so we have the cool sign off 30 degrees and these is equals 25 25 divided by the square it off three divided by two. These gives approximately 600 seeks owns off impedance. For the second item, we can remember off the following the tangent off the phase is equals two Accel Miners XY divided by the resistance. The phase in these questions is equal to 30 degrees and the tangent off 30 degrees is bigger than zero. Therefore, excel in this circuit is already bigger than exceed. Now remember, the following Excel is equal to the frequency times. They look tense on daxi musicals to a world divided by the frequency times the capacitance. By increasing the frequency, we are increasing excel while decreasing exceed. Therefore, what happens is that the quantity excel miners XY as a wall, you increase then remember that impudence is It goes to the square it off r squared. Nothing happens in the resistance as we mass with the frequency plus Excel miners XY squared. We have seen that by increasing the frequency, we are increasing this term here. Therefore, by increasing the frequency in this particular sirrah quite that particular set up. We are also increasing the impudence.

Khoobchandra Agrawal · Answer

Hello, everyone. Here it is. Given that and in Doctor Gap, this study and register are connected in series across the S efforts. If all these value are we governed, my part factor does or in quantity will change by then. By what factor? Following will change a part. Regulates Frequency Bay Inductive reappearance XY excellent story capacity of appreciative reappearance, Andy in business in order to see you it But since angular frequency it But a point Ruto lt if they become stable. So it becomes, huh b But soon inductive is on me. God. So when we got this and will be omega in tow to it so it becomes dries off exit so it gets doubled. See? Are your parents off Galveston? Let me go. See? Exited its It is price off. See, that is one way to bon upon Omega Psi it becomes hop up its initial No, the imprudence. So there is a rooftop already Square XL minus XY squared. So do does not change by simple factor to work up So there does not change by factor off to our huh? That&#x27;s all for this problem. Thanks. For what

Problem

The capacitive reactance in an RLC circuit is det…

Problem 62 Easy Difficulty

The resistance in an RLC circuit is doubled. (a) Does the
resonance frequency increase, decrease, or stay the same? Explain.
(b) Does the maximum current in the circuit increase, decrease, or
stay the same? Explain

Answer

a) see explanation
b) see explanation

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