Magnetic Field of a Solenoid
Claimed by ramin8 !!
Contents [hide]
1 Magnetic Field of a Solenoid
1.1 A Mathematical Model
1.2 A Computational Model
2 Simple Example
2.1 Connectedness
2.2 History
2.3 See also
2.3.1 Further reading
2.3.2 External links
2.4 References
Magnetic Field of Solenoid
A Mathematical Model[edit]
A Computational Model[edit]
Simple Example[edit]
Pathindependence.png
In this example, the electric field is equal to E=(Ex,0,0). The initial location is A and the final location is C. In order to find the potential difference between A and C, we use dV=VC−VA.
Since there are no y and z components of the electric field, the potential difference is dV=−(Ex∗(x1−0)+0∗(−y1−0)+0∗0)=−Ex∗x1
BC.png
Let's say there is a location B at (x1,0,0). 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.
The potential difference between A and B is dV=VB−VA=−(Ex∗(x1−0)+0∗0+0∗0)=−Ex∗x1.
The potential difference between B and C is dV=VC−VB=−(Ex∗0+0∗(−y1−0)+0∗0)=0.
Therefore, the potential difference A and C is VC−VA=(VC−VB)+(VB−VA)=Ex∗x1, which is the same answer that we got when we did not use location B.
Connectedness[edit] 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[edit] Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
See also[edit] 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[edit] Books, Articles or other print media on this topic
External links[edit] Internet resources on this topic
References[edit] This section contains the the references you used while writing this page