Energy stored in inductor (1/2 Li^2) | Electromagnetic induction | Physics | Khan Academy
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- เผยแพร่เมื่อ 20 เม.ย. 2021
- An inductor carrying current is analogous to a mass having velocity. So, just like a moving mass has kinetic energy = 1/2 mv^2, a coil carrying current stores energy in its magnetic field giving by 1/2 Li^2. Let's derive the expression for it using the concept of self-induction.
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Created by Mahesh Shenoy
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"ELECTRICAL INERTIA".....brilliant insight for understanding. Thank you!
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I believe you should use V_L as L di/dt only without the negative sign, because that makes it work, when you integrate both sides, the left side is from U_L to 0 and right side is from I to 0, that gives us
0 - U_L = -1/2 L i^2
U_L = 1/2 L i^2
If we take it with the negative we get U_L = -1/2 L i^2. I do need some confirmation if I'm right or not thanks.
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If you integrate from higher term to.lesser teem then you must minius before the integral and scince u =_ inegtral _N( di/dt) from I to zero then we got = _ 0.5Li^2 ! Please explain
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great, the inertia acted by the mass is due to the static friction between the rough base of the box and the rough surface..
what about the inductor ? WHY does it resist the change in the current ?
Your going too deep, it has to due with the electron spinning, and what causes the magnetic field. It takes time for the electrons to spin in the direction of the applied magnetic field.
@@MarkSmith-vo1vn Thanks for the reply ! finally some logical and technical answer ..
we've never been told this even in engineering school! but curiosity killed the cat haha ..
could you please provide me with some source to read about these details? ..
p.s: I remember a youtube channel of a guy "looks indian maybe" that explained the three faraday laws .. he talked "a little" about these details, but I can't find the channel anymore :( ...
@@mibrahim4245 I am not too sure on any source, I feel like it is not worth thinking too atomically into any physics phenomenon. It gets a bit hairy, but I guess try to look up Faradays experiments and how he came up with the idea of resisting a change in current. There is probably a book or bibliography about his life and experiments. I know that Faraday thought this initially: if a current causes a magnetic field: can’t a magnetic field cause a current? And he went from there. The fact that a current causes a magnetic field was known so he tried to do the opposite. So idk if he even goes into the electron spinning and all that, since it may have been unknown at the time. Then I would suggest Physics books on inductance specifically. Textbooks, TH-cam videos only give you the knowledge that you need to know to solve realistic problems, books may go in more detail, but I am not sure.
@@MarkSmith-vo1vn thank you so much Mark, I got a kind of satisfaction with your first reply haha.. when I have time I'll start with this idea.. thanks!!
@@MarkSmith-vo1vn and sorry, the videos I talked about was about Maxwell equations, not Faraday :D
CAN WE CONNECT 2 INDUCTOR IN PARALLEL , IT'S CHARGE FOR EVER ???
When a battery is removed suddenly , how can inductor maintain current if there is no closed circuit ?
Thats why they short circuited it. Not removed the battery i.e. Opened the circuit.
sir plz plz clear my doubt [why does the current flow if induced emf oppose the current] plzzzzzzzzzzzzzzzzzzzzzz
Think of it like static friction, You try to push a box but the box does not move but if you push a little harder, it begins to move.
The key work here is opposes not STOP. It’s against it but eventually will give in
In his previous videos he has explained that it does not oppose the current instead it opposes the change in current.
*_Summary Of The Video :-_*
.*Energy Stored In An Inductor*
* Inductors store energy inside them.
* If we short the circuit using a plane plane wire having no resistance , in that case bulb will not instantly stop glowing but it take some time before slowing turning off , which show that inductors store energy inside them.
* Inductance is like *Inertia*.
* *Inertia* resist change in velocity
*Inductance* resist change in current
But energy inside inductor will bamout on the bulb it's not like capacitor as shown in vedio☝️
And that's called back emf which have high voltages for certain microseconds🤔
You should tell that the formula 1÷2mv² is instantaneous while the formula 1÷2Li² is not
This is a great mistake by a teacher like you
If you are comparing two things you should not make it incomplete😅😅
I hope you will understand my words
Dont take it personal