A loop rotating in a magnetic field (How electric power generator works!

[ahmedelshfie]

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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<applet code='users.br.ahmed.users_ntnu_fkh_currentloopinbgenerator_pkg.users_ntnu_fkh_currentloopinbgeneratorApplet.class' archive='http://www.phy.ntnu.edu.tw/ntnujava/ejsuser/37048/ejs_users_ntnu_fkh_currentloopinbgenerator.jar' name='users_ntnu_fkh_currentloopinbgenerator5832' id='users_ntnu_fkh_currentloopinbgenerator5832' width='636' height='638' mayscript=true><param name='draggable' value='true'></applet>
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[ahmedelshfie]

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
So the induced emf

The following simulation show how it works dynamically.

[Fu-Kwun Hwang]

You need to add TeX equation between $ to be displayed as equation.
I have added dollar sign for the above posted message for you!

[ahmedelshfie]

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

[Fu-Kwun Hwang]

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.

[ahmedelshfie]

I understand prof so when i would typing any equations i add $ between equations
For convert to picture right

[Fu-Kwun Hwang]

Yes! 

[ahmedelshfie]

Yes prof