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Created and claimed by Palavi Vaidya, PHYS 2212
Created and claimed by Palavi Vaidya, PHYS 2212 11/30/15


==Path Independence==
==Robert Fox Bacher==


The potential difference between two locations does not depend on the path taken between the locations chosen.
An American nuclear physicist
===Personal Life===


===A Mathematical Model===
Robert Fox Bacher, an American nuclear physicist, recruited by J. Robert Oppenheimer in 1942 for the Manhattan Project. He was to serve as the leader of the experimental physics division and bomb physics division. Bacher was born in Loudonville, Ohio and attended University of Michigan for his undergraduate degree and doctorate completing his thesis on the Zeeman effect of the hyperfine structure of atomic levels. He also attended California Insitute of Technology and Massachusetts Institute of Technology. After graduation, Bacher accepted a faculty position at Columbia University.


In order to find the potential difference between two locations, we use this formula <math> dV = -\left(E_x*dx + E_y*dy + E_z*dz\right) </math>,  where '''E''' is the electric field with components in the x, y, and z directions. Delta x, y, and z are the components of final location minus to the components of the initial location.
===Scientific Contributions===


===A 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]


=Simple Example=
=Simple Example=
[[File:pathindependence.png]]


In this example, the electric field is equal to <math> E = \left(E_x, 0, 0\right)</math>. The initial location is A and the final location is C. In order to find the potential difference between A and C, we use <math>dV = V_C - V_A </math>.


Since there are no y and z components of the electric field, the potential difference is <math> dV = -\left(E_x*\left(x_1 - 0\right) + 0*\left(-y_1 - 0\right) + 0*0\right)  = -E_x*x_1</math>
==Connectedness==


[[File:BC.png]]


Let's say there is a location B at <math> \left(x_1, 0, 0\right) </math>. Now in order to find the potential difference between A and C, we need to find the potential difference between A and B and then between B and C.
==History==
 
The potential difference between A and B is <math>dV = V_B - V_A = -\left(E_x*\left(x_1 - 0\right) + 0*0 + 0*0\right) = -E_x*x_1</math>.
 
The potential difference between B and C is <math>dV = V_C - V_B = -\left(E_x*0 + 0*\left(-y_1 - 0\right) + 0*0\right) = 0</math>.
 
Therefore, the potential difference A and C is <math>V_C - V_A = \left(V_C - V_B\right) + \left(V_B - V_A\right) = E_x*x_1 </math>, which is the same answer that we got when we did not use location B.


==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?


==History==
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.


== See also ==
== See also ==


Are there related topics or categories in this wiki resource for the curious reader to explore?  How does this topic fit into that context?


===Further reading===
===Further reading===


Books, Articles or other print media on this topic
 


===External links===
===External links===


Internet resources on this topic
 


==References==
==References==


This section contains the the references you used while writing this page


[[Category:Which Category did you place this in?]]
[[Category:Which Category did you place this in?]]

Revision as of 17:08, 30 November 2015

Created and claimed by Palavi Vaidya, PHYS 2212 11/30/15

Robert Fox Bacher

An American nuclear physicist

Personal Life

Robert Fox Bacher, an American nuclear physicist, recruited by J. Robert Oppenheimer in 1942 for the Manhattan Project. He was to serve as the leader of the experimental physics division and bomb physics division. Bacher was born in Loudonville, Ohio and attended University of Michigan for his undergraduate degree and doctorate completing his thesis on the Zeeman effect of the hyperfine structure of atomic levels. He also attended California Insitute of Technology and Massachusetts Institute of Technology. After graduation, Bacher accepted a faculty position at Columbia University.

Scientific Contributions

Simple Example

Connectedness

History

See also

Further reading

External links

References

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