NTNUJAVA Virtual Physics LaboratoryEnjoy the fun of physics with simulations! Backup site http://enjoy.phy.ntnu.edu.tw/ntnujava/
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 Author Topic: A loop rotating in a magnetic field (How electric power generator works!  (Read 8484 times) 0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
ahmedelshfie
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 « Embed this message on: April 12, 2010, 02:17:41 am »

This applet created by Prof Hwang
Modified by my self
I add tow bars for (sc) and (time)
Original project:A loop rotating in a magnetic field (How electric power generator works!)

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 loop.jpg (39.18 KB, 636x573 - viewed 512 times.) « Last Edit: April 21, 2010, 12:07:55 pm by ahmedelshfie » Logged
ahmedelshfie
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 « Embed this message Reply #1 on: April 21, 2010, 02:42:23 am »

When a loop rotating in a uniform magnetic field.
The magnetic flux is changing which will induce electric field along the loop (produce voltage).
If the loop is rotating with constant angular velocity \omega . (The angle is \omega t)
The magnetic flux in the loop will be $\Psi =\int \vec{B}\cdot d\vec{A}= B A cos(\omega t)$
So the induced emf $= -\frac {d\Psi}{dt}=B A \omega sin(\omega t)$

The following simulation show how it works dynamically.
 « Last Edit: May 18, 2010, 07:52:55 am by ahmedelshfie » Logged
Fu-Kwun Hwang
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 « Embed this message Reply #2 on: April 21, 2010, 10:06:44 am »

You need to add TeX equation between $to be displayed as equation. I have added dollar sign for the above posted message for you!  Logged ahmedelshfie Moderator Hero Member Offline Posts: 954  « Embed this message Reply #3 on: April 21, 2010, 12:21:11 pm » Yes prof,, i had the text information and equations from topic http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=912.0 So i think I'm make wrong right  « Last Edit: April 22, 2010, 09:47:16 am by ahmedelshfie » Logged Fu-Kwun Hwang Administrator Hero Member Offline Posts: 3086  « Embed this message Reply #4 on: April 21, 2010, 04:50:40 pm » You need to add dollar sign for those equations. Otherwise, those equation would not be convert to image. The following is what you have copied. Code: This simulation shows a current loop in uniform magnetic field. The black arrows show the force due to magnetic field on the loop. \vec{F}= q \vec{v} \times \vec{B} or \vec{F}= I \int d\vec{\ell} \times \vec{B} The magnetic field in in the +Z direction if Bz>0. Then ,torque for the loop is calculated from definition \vec{\tau}=\vec{r}\times\vec{F} Because the current flow in the same counter-clockwise direction. The force on the loop change sign during each helf cycle. If we current reverse direction during each helf cycle, the following device can turn into a motor. A voltage source is needed in the loop to drive the current.  Logged ahmedelshfie Moderator Hero Member Offline Posts: 954  « Embed this message Reply #5 on: April 21, 2010, 10:51:46 pm » I understand prof so when i would typing any equations i add$ between equations
For convert to picture right
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Fu-Kwun Hwang
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 « Embed this message Reply #6 on: April 22, 2010, 02:48:25 pm »

Yes!
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ahmedelshfie
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 « Embed this message Reply #7 on: April 22, 2010, 05:19:06 pm »

Yes prof
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"That their main business was not put into the mind knowledge which was not there before, but to turn the mind's eye towards light so that it might see for itself." ...Plato's advice to educators(429-347BC)

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