Register to reply 
Optimization of sphere and cyliners (Electrical physics) 
Share this thread: 
#1
Jul1814, 02:28 AM

P: 1

I recently noticed that I have blindly used optimization in some problems that involve symmetrical insulating/conducting spheres and cylindrical shells.
For example, when calculating outer electric field caused by a spherical insulator/conductor, I just treated these as a simple point charge located at their center, and those ways rendered correct answers. Also, in a question involving an infinite cylindrical shell, (given charge density), I treated it as a simple line charge located at its center, and it also gave me a right answer. However, I am still not convinced how this works mathematically. Is it just a way of simplifying problem for faster calculation, or is there any theorem / definiton that fully explain the validity of this simplification? I would appreciate some help 


Register to reply 
Related Discussions  
Optimization: maximum curved surface area of a cylinder in sphere  Calculus & Beyond Homework  13  
Optimization Problem, Laying down electrical lines (Multivariable)  Calculus & Beyond Homework  2  
Electrical Resistance of a Sphere?  Classical Physics  38  
Optimization, cylinder in sphere  Calculus & Beyond Homework  3  
Electrical Field of a Sphere  Classical Physics  17 