5

A solenoid having an inductance of 6.3uH Is (a) Ifa 14.0V battery connected in series with a 1.2k02 resistor. is switched across the pair, how long will It take for...

Question

A solenoid having an inductance of 6.3uH Is (a) Ifa 14.0V battery connected in series with a 1.2k02 resistor. is switched across the pair, how long will It take for the current through the resistor to reach 80% of its final value? (6) What IS the the resistor at tlme t = 1.Or? current through

A solenoid having an inductance of 6.3uH Is (a) Ifa 14.0V battery connected in series with a 1.2k02 resistor. is switched across the pair, how long will It take for the current through the resistor to reach 80% of its final value? (6) What IS the the resistor at tlme t = 1.Or? current through



Answers

A solenoid having an inductance of $6.30 \mu \mathrm{H}$ is connected in series with a $1.20 \mathrm{k} \Omega$ resistor. (a) If a $14.0 \mathrm{~V}$ battery is connected across the pair, how long will it take for the current through the resistor to reach $80.0 \%$ of its final value? (b) What is the current through the resistor at time $t=1.0 \tau_{L}$ ?

Hi in the given R. L. Series circuit, The value of inductive chances given a 6.30 micro Henry And resistance is given us 1.20 Alot Holmes. So the time constant of this circuit which has given us L by art. So here it will be 6.0 Into tended bar -6 Henry invited by 1.20 Into 10 days for three homes. And finally it will come out to be 5.25 into 10 days, 4 -3 -9 offices, Nano. 2nd time constant. Now in the first part of the problem, Voltage applied to the circuit is 100. I'm sorry, this is 14.0 volt and couldn't at any instant current grown in the circuit is 80% of the equilibrium value of current means I not Means we can say it, we we can write it to be 0.80 times off. Why not? And see using the equation for this current going through the circuit, which is I is equal to. Why not Bracket 1 -2 Wrist? The path minus fee by doubt Or I this is 0.80. I not is equal to I not back at one minus irish bar minus key by tao cancelling this, I not. We get and rearranging the terms we get irish bar minus t bite out is equal to one minus 0.80. Which comes out to be 0.20. No converting this exponential form in to look at it from, we get this is Log of 0.20 at B c E means this is a natural logarithms and that is it was two minus E by toe. No, Now we already know this is five the war five nanosecond. and natural algorithm of 0.20 will come out to be -1.61 but canceling this negative sign and making a cross multiplication. Finally, if this time comes out to be 8.45 nanoseconds in which the current grows up to that 80% of equilibrium current, maximum current. No, in the second part of the problem we have to find current passing through the circuit at a time Equal to one time constant. So using again the same expression I is equal to I not one minus here in the park. This time for three is multi, this is tau by toe, So it will come out to be 1 -1. Well, here it is. I we have to find or I not. This will be using warm slow. That will be given as E by art equilibrium current 1- Irish Bar -1. Now plugging in the value for M. F. This is 14. World Resistance is 1.20 into And into the part three born bracket, one minus Irish Bar -1 is 0.3 68 Or finally Here, it will come out to be seven these seven into 10 days for -3 ampere or Milli Ampere, which is the answer for the second part of this problem. Thank you.

Okay, So for this problem, we are given an R l circuit. And then we're trying to determine how long it will take for the current to reach 80% of its final value. So we could just use the formula for, uh, Karan's a function of time for charging and dr which is why over I, Max, um is equal Thio one minus Eat the minus t our overall. So go ahead and write down the givens. So l is 6.3 times 10 to the minus six Henry's and our is 1200 homes. No. And then e m f is 14 bolts close to get a time. Um so basically, you want t o algebraic Lee, manipulate this. Um oh, yeah. We want to say I over I Max is 8.8. Let's see. Do we have all the givens now? I think we d'oh! Um, except for time. And so you want to add Drew Brickley? Manipulate this in sulfur time. Time is equal to ah minus over our times the island of, um one minus I over I max. So when I plugged all these numbers and I got 8.45 times 10 to the minus nine seconds. And then we want to get the current after one second. Right? Let me double check the problem or no one. Ah Tao. Well, not one second. And so basically, we can use that seem formula. I'm Max using the fact that I'm Max is, uh, absolute Not over are not absolute, not e m f. So over our cause. That's, um because, like as And if, as in time infinitely passes, then all the transit behavior ends, and then the doctor acts like a wire because, yeah, you know, like, the change is slow down, So d I d t approaches zero. Another way of saying that. And so climaxes comes up some over our and so then you get that eye, which is equal to Absalon. Over our is one minus e to the minus. So it's t over Tao and so to you over towers one s Oh, oops. Um, so I just want to make that, uh you know, in the minus one. And when I put that into a calculator, I got 7.37 times 10 to the minus three hams.

Given is a conductor Which has inducted since and equal to 25 million Henry. Given his a resistor which has resistance equal to eight points revolt and a battery which has M. F. Six world. And these are connected in series and so in this other circuit The switch is closed at T equal to 0 2nd. We have to find the voltage drop across the resistance. First part is asking us to find the voltage drop of resistance At the equals to zero For this current in the oral circuit at 20 is given by the relation I equals two mm by us one minus E. To the power minus T by toe. Berto is the time constant. Is the time is the immigrant eyes. The resistance where still is L by uh after this the potential different sexual. The resistance, Dell B across the resistor is equal to our multiplying are in this equation will give us then we are equals two. R I equals two. Uh huh multiplied E by our one minus E to the minus D by two. And now the relation becomes Till we are equals two. E. one manners he took power -2 x two substituting the value As equal to zero. The Dell we are comes out to be E one minus E. To the power zero. Where it to the power zero becomes one so E one minus one is zero. Does the potential difference across the resistor. When Dante equal to zero is 0 walls. And for the second part we have to find out the voltage drop across resistor when time equal to 10 constant. For the substituting the value in this equation, Dell we are as equals two. He met multiplayer one minus E to the power minus two by two. This will give us one minus E. To the power minus one. Substituting the value of E m f of the battery is six world, multiplied by one minus eight. The power minus one is given by .368. On calculation the voltage drop will be 3.8 balls. This is the voltage drop across resistor when time equal to time constant. For third part we have to find out the voltage drop across inductive when time is equal to zero and for this we have to use the relation Dell V L is equal to E M f minus hi Yes where he minus he one minus E. To the minus D by do and this will convert it to E. He to the power minus T by two. This is the voltage drop across induction. When t equal to zero, the voltage drop across this will be equal to the E M F value. And the email values given by six world. And for the fourth part we had to find the voltage drop across resistance when time equals do, time constant, they'll be L when the equal to talk, substituting the value in this, Dell V L will be E to the power minus toe by toe. It will become E multiplied by each of the power minus one. Substituting the value E is six, multiplied by 60.368. And the final value comes out to be 2.2 bulls. When this is the voltage drop across, in that sense, at the time constant.

Hello, friends. Here it is given a 12 volt batteries connected interior because of it containing the distance off. I know the year is the distance off, then off bit inducting, quite off self indoctrinates to handing the the battery off MF well, would you? We have 25 that time a part but current Toby If people sent off 5 50% off final value be 90% off. Finally let us here. As you know, this is the Aral circuit. So current is going through that quite according to the formula be upon our one minus explanation off minus he Contout how he's called growth constant of the white which having the value and upon our it is also called the time constant, self funded self in differences too on the system. So it will be quite too seconds No substitute the value after a long time that is infinity. Currently with maximum he's given 12. The distance is given 10 one minus explanation off he upon point to what I do have maximum current. You must be infinity. So eyes called toe 12 by 10 Sorry, and that is a maximum for part eight I it 50% off, right? That is I to so icicle toe. I exponential of minus three upon point to on this is given. I went to simplify it. You will get quite quite. It's called one minus. So here you will get 0.139 seconds. This is the answer off a part now, in be part current required his eyes culture 90% off maximum current. That is 0.9 times off. I on ice. Got to I one minus exponential off. Substitute developed 4.9. It's called one minus. So from here, this better. You will get wild food. Six months. That's all for this problem. Thanks for watching it.


Similar Solved Questions

5 answers
LCiilci Ui 1vian)i aliuie in 9 hours, 58 minutes. Due Tue 02/05/2019 11.59 pm Show Intro/lnstructions A tank full of water is designed with ends in the shape of an isosceles triangle with height 18 meters and width, at the top, of 11 meters Find the hydrostatic force on one end of the tankPreviewNewtonsGet help: VideoPoints possible: 8 This is attempt of 3_ Message Instructor about this question Post_this question to forumLcenseSubmit
LCiilci Ui 1vian)i aliu ie in 9 hours, 58 minutes. Due Tue 02/05/2019 11.59 pm Show Intro/lnstructions A tank full of water is designed with ends in the shape of an isosceles triangle with height 18 meters and width, at the top, of 11 meters Find the hydrostatic force on one end of the tank Preview...
5 answers
Gxaph Corrvplelely' Ac) = X4_ 4x*+ /0 T1 Inkrvels ~hexc @ akcrrasnd Kncseasia Find ConCave down; Fird oll (oCa | etrema Cowtve Y Geaeh 4h0 Cunctian ~Roin+s 6f nflectoh Point Gn fhe and Iabel Impoe Tant Graph.
Gxaph Corrvplelely' Ac) = X4_ 4x*+ /0 T1 Inkrvels ~hexc @ akcrrasnd Kncseasia Find ConCave down; Fird oll (oCa | etrema Cowtve Y Geaeh 4h0 Cunctian ~Roin+s 6f nflectoh Point Gn fhe and Iabel Impoe Tant Graph....
5 answers
Find the probability of the indicated event if P(E) = 0.40 and P(F) = 0.35Find P(E or F) if P(E and F) = 0.05.P(E or F) =(Simplify your answer )
Find the probability of the indicated event if P(E) = 0.40 and P(F) = 0.35 Find P(E or F) if P(E and F) = 0.05. P(E or F) = (Simplify your answer )...
5 answers
4 125.0 it Concentation 3 takef J0 8 54.0 an the M 0zc04 Jo h 0 804 8 doluhon 2 H 2 2 the neutralize
4 125.0 it Concentation 3 takef J0 8 54.0 an the M 0zc04 Jo h 0 804 8 doluhon 2 H 2 2 the neutralize...
5 answers
Find the area of the region bounded by the curve x = y2and the line y = x
Find the area of the region bounded by the curve x = y2 and the line y = x...
5 answers
Determine all cyclic groups that have exactly two generators.
Determine all cyclic groups that have exactly two generators....
4 answers
Which of the following variables are categorical ordinal? (Select all that apply:) Point)Deciding whether to buy, sell, or hold a stockThe weekly revenue of a companyThe day of the week with the highest salesThe winner of an election with two candidatesThe number of daily car thefts in New York CityWhether or not revenue will exceed S50,000
Which of the following variables are categorical ordinal? (Select all that apply:) Point) Deciding whether to buy, sell, or hold a stock The weekly revenue of a company The day of the week with the highest sales The winner of an election with two candidates The number of daily car thefts in New York...
5 answers
Dennis met the diagnostic criteria for both panic disorder and GAD. Did he, in fact, suffer from two separate disorders? What does your answer say about the issue of comorbidity in the current classification system?
Dennis met the diagnostic criteria for both panic disorder and GAD. Did he, in fact, suffer from two separate disorders? What does your answer say about the issue of comorbidity in the current classification system?...
5 answers
Q1-A child slides down a playground-slide at constant speed; The energy transformation during sliding is:A) Ugno friction since the speed is constant
Q1-A child slides down a playground-slide at constant speed; The energy transformation during sliding is: A) Ug no friction since the speed is constant...
5 answers
Q 13.17: Whlch product(s) will form under the conditions below? Select all that apply:
Q 13.17: Whlch product(s) will form under the conditions below? Select all that apply:...
5 answers
Decide whether a precipitate forms when aqueous solutions A and B are mixed:1- Does a precipitate form when you mix (sodium chloride+ lead(II) nitrate)?
Decide whether a precipitate forms when aqueous solutions A and B are mixed: 1- Does a precipitate form when you mix (sodium chloride+ lead(II) nitrate)?...
5 answers
Hw16-14.6-Directional-Derivatives-and-the-Gradient-Vector: Problem 5Problem Value point(s) . Problem Score: 0%. Attempts Remaining: 25 attemptsHelp Entering Answers 20 + point) Find the maximum rate Of change 0f flr, 8,t) at the point (-2,-3,-1)Max rate of changeWhich direction does it occur? (Your answer must be unit vector)
Hw16-14.6-Directional-Derivatives-and-the-Gradient-Vector: Problem 5 Problem Value point(s) . Problem Score: 0%. Attempts Remaining: 25 attempts Help Entering Answers 20 + point) Find the maximum rate Of change 0f flr, 8,t) at the point (-2,-3,-1) Max rate of change Which direction does it occur? (Y...
5 answers
Bands 009 Bamhi would you sec dq OOOI ifyou dlgested the plast 10033 8[ 18
bands 009 Bamhi would you sec dq OOOI ifyou dlgested the plast 10033 8[ 1 8...
1 answers
On a clear, sunny day, a vertical electric field of about 130 $\mathrm{N} / \mathrm{C}$ points down over flat ground. What is the surface charge density on the ground for these conditions?
On a clear, sunny day, a vertical electric field of about 130 $\mathrm{N} / \mathrm{C}$ points down over flat ground. What is the surface charge density on the ground for these conditions?...
5 answers
Create a polynomial function with real coeffcients that has a zero at x = 3i.
Create a polynomial function with real coeffcients that has a zero at x = 3i....
5 answers
'175150'1= 2'} u/s = 6 '1 SO3 =X suonjenba a41 Kq u3^I? Xiiay Je/njui) 3y1 S! ) aja4m 'sp 2 UIS K"f aenien]
'175150'1= 2'} u/s = 6 '1 SO3 =X suonjenba a41 Kq u3^I? Xiiay Je/njui) 3y1 S! ) aja4m 'sp 2 UIS K"f aenien]...
5 answers
Find the point( s) of discontinuity for the function given 22_9 f (x) 22+32 1 =Type of discontinuity? (smaller x value) removable jump infinite Type of discontinuity? (larger % value) Sketch the graph:
Find the point( s) of discontinuity for the function given 22_9 f (x) 22+32 1 = Type of discontinuity? (smaller x value) removable jump infinite Type of discontinuity? (larger % value) Sketch the graph:...
5 answers
In([+4'1IrurrcorL1jnk41442 Vh (1r _ [1ErwoTbc emLmH4 hne Enctt oi #hru ( mbokrb5 mdoe Uwr tuchrz tth meon end :xn:n L thc Axckrulua u Wdn ~lam 'J Hoz lons Ir tuka- EAZAenact Eh Tecee ibr anerd al tSc bjub ulKnte coln AheHee
In([+4'1 Irurrcor L1jnk41442 Vh (1r _ [1E rwo Tbc emLmH4 hne Enctt oi #hru ( mbokrb5 mdoe Uwr tuchrz tth meon end :xn:n L thc Axckrulua u Wdn ~lam 'J Hoz lons Ir tuka- EAZAenact Eh Tecee ibr anerd al tSc bjub ulKnte coln AheHee...

-- 0.019491--