Charged Cylinder: Difference between revisions
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The electric field of a uniformly cylinder can be found through viewing the cylinder as a collection of long uniformly charged rods forming a circle or a series of uniformly charged rings stacked on top of another. | The electric field of a uniformly charged cylinder of length <math>L</math> and radius <math>R</math> can be found through viewing the cylinder as a collection of long uniformly charged rods forming a circle or a series of uniformly charged rings stacked on top of another. Before determining which method to use, the point of observation must be decided. | ||
====Uniformly Charged Rods==== | ====Uniformly Charged Rods==== | ||
If measuring the electric field of a cylinder from an observation point that is at the center of the cylinder, the method of rods would be most useful. | |||
The location vector from the center of a rod can be determined in terms of the angle θ. | |||
=====Mathematical Model===== | =====Mathematical Model===== | ||
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====Uniformly Charged Rings==== | ====Uniformly Charged Rings==== | ||
If measuring the electric field of a cylinder from an observation point that is away from the cylinder in the z-direction (assuming that the circles the cylinder is composed of reside in the x-y plane), the method of rings will be most useful. | |||
=====Mathematical Model===== | |||
=====Computational Model===== | |||
How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript] | How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript] | ||
Revision as of 13:24, 29 November 2015
Electric Field
Topic reserved by Jennifer Burkhardt
The electric field of a uniformly charged cylinder of length [math]\displaystyle{ L }[/math] and radius [math]\displaystyle{ R }[/math] can be found through viewing the cylinder as a collection of long uniformly charged rods forming a circle or a series of uniformly charged rings stacked on top of another. Before determining which method to use, the point of observation must be decided.
Uniformly Charged Rods
If measuring the electric field of a cylinder from an observation point that is at the center of the cylinder, the method of rods would be most useful.
The location vector from the center of a rod can be determined in terms of the angle θ.
Mathematical Model
Computational Model
Uniformly Charged Rings
If measuring the electric field of a cylinder from an observation point that is away from the cylinder in the z-direction (assuming that the circles the cylinder is composed of reside in the x-y plane), the method of rings will be most useful.
Mathematical Model
Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
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