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A solenoid with N = 100 turns has a length of 50 cm and a diameter of 2 cm. If this solenoid carries 0.5 A current; what is the energy stored in the magnetic field?...

Question

A solenoid with N = 100 turns has a length of 50 cm and a diameter of 2 cm. If this solenoid carries 0.5 A current; what is the energy stored in the magnetic field?0.98 HJ0.62 HJ0.44 HJ3.2 HJ0.31 HJ

A solenoid with N = 100 turns has a length of 50 cm and a diameter of 2 cm. If this solenoid carries 0.5 A current; what is the energy stored in the magnetic field? 0.98 HJ 0.62 HJ 0.44 HJ 3.2 HJ 0.31 HJ



Answers

A 200-turn solenoid having a length of $25 \mathrm{~cm}$ and a diameter of $10 \mathrm{~cm}$ carries a current of $0.30 \mathrm{~A} .$ Calculate the magnitude of the magnetic field $\vec{B}$ inside the solenoid.

For the given problem yet again. Us to find the main itude off mate Dick feel inside it's sunlight, which is given by being physical team. You know, Lord, current times in we're small and is a number of terms for the implant. The Dirty Sam. You know, I number off tones derided by lint. For the given problem, we have Isaac all to 0.3 and Pier 30 in Pierre length is 0.25 meter a number of tones and is 200. This yields a semantic field off three times 10 to the power minus four Tesla.

Comes to the electromagnetic induction in which we have a solenoid. Having demented equals to 5.0 cm. That is 0.05 m and Number of times per unit length and equals to 45 tons per centimeter. That is equal to 45 double zero turns per meter. Okay? And we have Length L equals to 23 cm. That is 0.23 m. So we have to calculate for the part a. The inductions of the solenoid. So inductions of the solenoid, it is equal to new note any square a by L. Which can also be written as new note. Small and square a manipulated by L. Okay. This is a number of times and this is number of transfer unit length. Okay. And area A. For the circular coil, we can write that new note and square manipulated by by by four. Multiplied by the square manipulated by L. So substituting all the values. So we get eloquence to new. Not that is 4.2 10 to the power minus seven and which is 45 double zero. So holy square multiplied by five by four. And demented D. Which is 0.5 m. So Holy square and length L. Which is 0.23 m. So from here after solving we get self in the tents. L. That is equals to 11.5 million Hannity. Okay. So this becomes the answer for the part of the problem. Okay. Now moving to the part B. In which we have to calculate the current when it stores energy U. Equals to 0.50 So energy store you. It is equal to one x 2. L. I. Square. So from here we get current. I equals to two. You do whereby L. And hold another. So substituting values in this situation. So we will get that current. I equals two under root of tumor played by you, which is 0.50 and L, which is 11.5 million Henry. That is 10 to the power -3 Henry. So from here, after solving Current, I comes out to be 9.3-5 mps. Okay, so this becomes the answer for this question. So this much of current is required to have energy 0.50 jewel in the conductor.

As we all know that the magnitude of magnetic field inside the solenoid is given by bicycle to um you know I. And by l solving it further I can write the value of and is equal to B. N. By um You know I. So just putting the value in this express and I can write the value of and is equal to 0.005 T. multiplication and 0.90 m by 45 Multiplication, 10 to the power minus seven multiplication, 0.20 M. Pierre. On solving it, I get the value of an is equal to 17904 So this is our final answer. In approximate value. You can write a test 18 triple zero tons.

Problems don't. Yet in this problem, we have to find energy Store in an end, Doctor. Have a win number. Tongues? Yes. Gold 150 and limp out of the the doctor is gun is grunting three mine through something and diameter of addictive qualities. John is one. Find five Sunday meeting and death like I want off and I use the one is 165 1,000,000 beers. And we have to find in a T store. Remember? Glad but you Yes, we know that it in a store in and there is you on my about the little been victims much of live I get, including in the neuter making How you on the day against that of it. We have a grand in the in the day but we will not save indignance of the convicted here. So you will find itself in distance of the quiet past. And it is one by an easy quartile. But I mean with the increase is number of turns is glad area of the quiet and they divided by lend up Quite Oh, man. So you on my or by I want to apply. That's what I'm honest I want to buy. And if any will remember in the beauty When did we takes? Get off it And in the area will be find door artists were our dealer boost that is we have endured diameters already divided by two. And you're using something with so that maybe you want to play Transformers two and takes care of it? I did do it all by lend on the addicted are quite Maybe it is. I wanted to be mine. Do something meter again. So 10 former minister and it is Hey, it's too indignance off one mind. 61 maybe Hamiti. So I booked in the you know and of you that is you maybe called Go one of our guru. I want to live by one mind. 61 indoor. It's for modesty, Does it? Using me? Henry and I is 1 55 million here and we have a scary So then no, you It comes to be going to do. Michael yells. So this is the amount of energy story in the why they called into given deter. This is an floor solution. Thank you for watching


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