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In the figure, R = 1.6 k and €0 58 V When the switch is closed, the current through the inductor rises to 10 mA in 27 /SSwitch open: No current flows.Tap imag...

Question

In the figure, R = 1.6 k and €0 58 V When the switch is closed, the current through the inductor rises to 10 mA in 27 /SSwitch open: No current flows.Tap image t0 zoomPart AWhat will the current in the circuit be after many time constants?Express your answer using two significant figures:

In the figure, R = 1.6 k and €0 58 V When the switch is closed, the current through the inductor rises to 10 mA in 27 /S Switch open: No current flows. Tap image t0 zoom Part A What will the current in the circuit be after many time constants? Express your answer using two significant figures:



Answers

In Fig. $27.23 a,$ take $R=2.5 \mathrm{k} \Omega$ and $\mathcal{E}_{0}=50 \mathrm{V} .$ When the switch is closed, the current through the inductor rises to $10 \mathrm{mA}$ in $30 \mu$ s. Find (a) the inductance and (b) the current in the circuit after many time constants.

Hi everyone In this problem, it is given if I am a off the cell is six. Book the distance. Urban having a bedroom. Five. Are you having covered Bono and doctor has negligible instance. Membership is open After having being closed for a long time. The current in the conductor drops so after switch after opening the switch week closed for a long time the current in the doctor drops toe current in the conductor becomes why to fight MP it Mhm What 0.15 seconds? What is the induct sense of the price? Let us hear when the switch is closed Currently history When it is closed, Kareen is very and having Maxim Baloo mhm upon urban that is six upon five So 1.2 MPs when searches open in Dr Starts Yeah, but switch as a open then in Dr Start discharging True are and discharging current its eyes cult toe I not explanation up minus r t y l I becomes white. Here it is. Given the value off I so you may right. I upon I not to be or you can write rt by lt gov loan off I not by so You may write in doctrines of that while is rt upon loan off? I not by no substitute The value here are are too like me. Correct it. This is our toe Because induct herbal discharged through the are due are two is given Benue time is given quite 15 chicken I not is given 1.5 and I is 0.25 So on solving it and the princes find zero 956 Henry, this is the answer for this problem. Thanks for watching it.

We have two resistors in peril and the resistance values 450 olds and are are related to the equivalent resistance off circuit by the following expression. So one over our equivalents is equal to one over our unknown resistance. Thus one over 450 olds. And we also know that the equivalent resistance is late to the time. Constant off the circuit by tool is equal to help over a fire. Cool. So tour is the induct INTs over the equal interest distance, and this implies that one over our Horbulin is able to talk over out. So hence we get the expression that one over are equivalent is equal to one over r yes, 1/4 50 and that's equating to talk over. And hence, from here we can solve for the unknown. The systems are went over, water is told, or out minus one over 400 festive, and this gives this 15 times 10 to the minus six seconds time Constant. Suck it over. The enough tins produce five times 10 to the minus three. Henry's minus one over 250 homes. We have suppressing the units. Then inviting both side of the equation we get the resistance are to be 1000 200 and 90 Those which is also one 0.29 kilo owns. So now you're calculating resistance are next. We want to calculate the current. The current will immediately begin to die from the value he had just before the switch was thrown to position. Be so before the position was changed, the cone was constant. In time, this means that there was no imminent and used to man doctor and that the current all right or simply out to be my are who will it And we know this to be doubt, to read times tour over out. And since we have these values, we know this is 24 volts multiplied my 15 times 10 to the minus six seconds, divided by the inductions which is five times 10 to the minus three Henry. And this gives us the currents. Just before the switch was flipped to me zero or 072 MPs which is the same as 72. Williams

Hi. The equation for the growth off current in an L R circuit is given us. I is equal toe I not one minus it. Dish par minus t by dough they are How is the time? Constant Off l R circuit. And it is given as the ratio off self induct tense off the in dr with the resistance. Now it is given that I mean, is the current reached, ah value off 98% off I not in a time off 3.0 milli second. Or we can say this is 3.0 into 10 fishpond minus three second. So putting this value here in this equation Yeah, I bye. I not is equal to one minus Irish. The part minus 3100 into 10. Despond minus three, divided by towel. So this I buy, I not will come out, Toby 98%. Or we can say this is 98 500 is equal to one minus e minus 3.0 into 10 days. Part of minus three, divided by towel is equal to 0.98 We can write for 98 500. So Finally, this e reached the par minus 3.0 into Standish, part minus three. Divided by tau comes out to be one minus 0.98 which is 0.2 No, to solve it simply to make it easy, we just take Look at it the move. Both the sides lock at base or we can say natural log. So in left hand side this is log at base E off e reached the par minus 3.0 into 10 inch par minus three by Tao is equal to write inside Log base E off 0.2 And if we calculate this natural algorithm off 0.2 it comes out Toby minus 3.9. And here this will be ignored. So it becomes minus 3.0 into 10. Dish par minus three. Divided by Tao. So the time Constant Tau here comes out. Toby minus 3.0 into 10 ish part minus three. Divided by minus 3.9. So this is 3.0 into 10 days. Part of minus treat, invited by 3.9. And for time Constant. We know this has given us L by our so this is 3.0 into 10 days. Par minus three, divided by 3.9 as the value of resistance is given us, then home. So self inducted ends off the coil here comes out Toby 3.0 into 10. Dish par minus three in tow. 10. Divided by 3.9 Henry. Or we can say this is l is equal to 7.67 into 10. Dish par minus three Henry Or finally, this is 7.67 Milly. Henry, this is the answer for the given problem. Thank you.

The country I at any time t is given by my Mac p current into one minus one e to the minus t over a tour. But we know in this case that I divided by I'm asking 19 cents 10 or 98 divide both times. But he couldn't. We get you a 0.98 equals one My name e to the mining in the time. I mean, when you think that the 10 10 the miners did he over toll and then because your range we get that pull, we take a national noble both type and told people to mine it. I agree. 10 to the minus over the natural log zero when you to. In the end we get and then you were told. I mean seven point hitmen. I'm in the minus four. And what do we know? We know that tool Time factor told people to oh, over our end up to So therefore they inducted Okay, talk and are. And since we know the distance, you calculated nothing. So what? We can be used to be 7.7, attempt into the minus full. That's the second amid a listing, you can Oh, and to get inducted. Oh, 0.67 Really, Henry


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