Posted by SirParagon (212.179.209.31) on April 12, 2003 at 08:44:38:
Hi,
I'm currently studying the extended electricity & magnetism course in the university, and I've found no sites with relatively difficult questions and their detailed solutions.
I would be more than greatful for any link, suggestion, name of a book, etc. you would provide. I also think that the more links will be suggested here the more this thread will help others who are searching for the same thing.
By "relatively difficult" I mean that to solve the problem one has to try a non trivial approach to the problem (not merely using a formula, but showing a deeper understanding).
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F O R I N S T A N C E:
1. Trivial:
An electron is accelerated across a potential difference of 240 V. Calculate the resulting change in potential energy.
2. Easy:
Calculate the minimum electric field strength required to stop a proton travelling at 0.01% the speed of light in the space of 2 cm.
3. Relatively difficult:
In an infinite vaccuum space there is an object of an unknown form, which is charged with an equal space density Ro. An empty spherical space of radius R is made inside the object such that the sphere's center is positioned at some point O (all the spherical space is inside the object). Given that before the creation of the space the potential in point O is Phi0, what will be the potential in O after it's creation?
4. Relatively difficult:
A circular ring of radius R is centered at the origin (O=(0,0). An arc of 36 degrees is charged with length-density Lamda=|Phi|*Lamda0. The rest of the ring is not charged.
The x axis passes (in the positive direction from the origin O) through the middle of the charged arc.
Calculate the potential at a given point D from the origin O (D>R).
Hint: you can use the fact that the integration will pass only through small angles.
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Thanks in advance!
Sir Paragon.