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15. Two inductors are connected in parallel to a 120-V, 60-Hz supply: The values of the inductors are 1.5 Hand 2.5 H. The total inductive reactance is 525.5 0 533.4...

Question

15. Two inductors are connected in parallel to a 120-V, 60-Hz supply: The values of the inductors are 1.5 Hand 2.5 H. The total inductive reactance is 525.5 0 533.49 Q9425 Q 1508 0

15. Two inductors are connected in parallel to a 120-V, 60-Hz supply: The values of the inductors are 1.5 Hand 2.5 H. The total inductive reactance is 525.5 0 533.49 Q 9425 Q 1508 0



Answers

Two inductors are connected in parallel across the terminals of a generator. One has an inductance of $L_{1}=0.030 \mathrm{H}$ , and the other has an inductance of $L_{2}=0.060 \mathrm{H}$ . A single inductor, with an inductance $L,$ is connected across the terminals of a second generator that has the same frequency and voltage as the first one. The current delivered by the second generator is equal to the total current delivered by the first generator. Find L.

To solve for inductive reactant x of l. We can access the formulation for calculating peak current across in Dr Isabelle, which is the ratio of the peak voltage across doctor piece of l divided into the inductive reactant solving for inductive reactant XML, we get a ratio between the peak voltage across in Dr divided into the peak current across in dr you must then take the specifications listed in the problem peak current across the doctor, 12.5 million amps and convert this value into amps units So point 0125 amps is the peak current across and Dr the peak voltage across the doctor is listed at one volt. So therefore, when we divide one vole in 2.0 125 amps, we calculate and inductive react INTs of 80 homes.

So in this problem, we firstly connected. Ah, the call you with a DC power. And we obtained that. Ah ah. So it vehicle 45 votes and the current way up tennis. Ah, 2.5 years. So we can Coakley the resistance directly. So this equal 45 over 2.5. Okay, so the solution is Ah, Let me see. Uh, 45 Hold on. Uh, 45 over 2.5 clothes 18? Yeah, 18 year old. And then week, we connect this coil with, uh, see souls with, uh, uh, b r m s equal 1 20 votes And the frequencies, uh, 60 hertz. So we attend the current R M s. They quoth 3.8 and piers. So we want we can determine the inductive is based on this information's. So, uh, we will have ah, expression v r m s over. Z equal. I r m s right. So v r m s is 1 20 And the Z is, uh, our squid plus two pi f times. They'll quit equal 3.8. So in this equation, we already know, uh, we already know our in there, So the only on a variable is the sale so we can sell for l and L as up 10. It is 69,000,000 Marys.

Hi. It's a given problem parent. Are seen through the conductor is I. Is equal to 0.20 mps. Source frequency is 750 hearts. And the self inductive since Of the induction coil attached in a circuit. 0.08 Siegel and green. So using the expression for the potential drop taking place across injector coil. Using rooms Law Real is equal to I into opposition means in bacteria tense excel. It will be given by I into I. F. N. So plugging in all known values for current 0.20 ampere into two into 3.14 For the value of pi into frequency 750 Hz To self induction 0.080 hendry. So finally this potential drop taking place across in dR coil can talk to be 75.4 bold roxy make. Which is answered for this given problem. Thank you.

We have an expression for the current. I is equal to I p current e to the minus out fatigue. I'm signed on the Gotti. Hence we can calculate the rate of change off his current the idea. And if we find the i v t we're finding Demeter off above expression with respect to t. And we get that you have you teen simply ii e to the minus out for team tu minus Alfa. Sign on the tee. Yes, course on the gun T. And that's how expression for the i. D. T. Just differentiating the expression for I. So we also know that AT T equal to 0.8 seconds as you quiet we have that the I u t must be well for this. We know just substitute our values in the problem and II in this case is fight and PS. Alfa is 0.2 Fire and coming up is 120 high and T obviously is your 0.8 Hence we get value for the i d. T to be 963 point to EMS the second. Well, what else do we know? Oh, we have this value the I d t. And we know that the mutually induced PMS it's known to is given by minus him. He I we know the museum use PMS, everyone to find the mutual inductions. Him m is simply minus. Yes, I want to Oh, uh, the I this game since d I. One by 18 you can't. And the first and again we have these values so minus personal to is plus the point to both. And the idea you've got Canadian to me. 1485 times not 1.85 actually. 900 and 63 0.2 m's a second. And this gives us a mutual inducted. Its off the 0.32 signs 10 to the minus 30 Henry's.


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