What is the Line Integral of Magnetic Field in a Parallel-Plate Capacitor?

AI Thread Summary
The discussion focuses on calculating the line integral of the magnetic field (B) in a parallel-plate capacitor with a current of 20 A and an area of 0.80 m². The integration path is a circle with a 15-cm radius, located between the capacitor plates. A participant initially struggled with the integration process, leading to an incorrect result involving ln(0). The conversation highlights the importance of understanding displacement current in this context. Ultimately, clarification on the concept helped resolve the confusion.
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Homework Statement


There is a current of 20 A in a resistor that is connected in series with a parallel-plate capacitor. The plates of the capacitor have an area of 0.80 m2, and no dielectric exists between the plates. Find the value of the line integral B ∙ dl , where the integration path C is a 15-cm-radius circle that lies in a plane that is parallel with the plates and is completely within the region
between them.


Homework Equations


b = muI/2rPI,


The Attempt at a Solution



i changed dl to 2PIdr and integrated. ended up with something that included ln(0). it just seemed wrong. any help is appreciated :)
 
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See,

http://www.physics.upenn.edu/courses/gladney/phys151/lectures/lecture_temp.html

http://www.cramster.com/answers-mar-08/physics/ampre-maxwell-law-find-line-integral-loop-radiu_217689.aspx

Have you learned about displacement current yet?
 
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thanks i understand it now :)
 

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