The Magnetic Field in a Charging Capacitor problem

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Homework Help Overview

The discussion revolves around calculating the magnetic field inside a parallel-plate capacitor that is being charged by a constant current. The problem involves applying Ampère's law as modified by Maxwell, focusing on the relationship between the magnetic field and the changing electric field due to the charging process.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss selecting an appropriate amperian surface to apply Ampère's law. There are inquiries about calculating the current or electric flux through that surface to evaluate the right side of the equation.

Discussion Status

The discussion is ongoing, with participants seeking clarification on how to proceed with the calculations. Some guidance has been offered regarding the selection of an amperian surface, but questions remain about the specifics of calculating the electric flux.

Contextual Notes

Participants are working within the constraints of the problem, which involves a parallel-plate capacitor with specific geometric considerations, such as the radius of the plates being much larger than the distance between them. There is a focus on the application of theoretical principles without providing direct solutions.

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A parallel-plate capacitor of capacitance C with circular plates is charged by a constant current I. The radius a of the plates is much larger than the distance d between them, so fringing effects are negligible. Calculate B(r), the magnitude of the magnetic field inside the capacitor as a function of distance from the axis joining the center points of the circular plates.

Express your answer in terms of mu_0 and given quantities.

according to Ampère's law as extended by Maxwell:
<br /> <br /> \oint \vec{B} \cdot d\vec{l}= \mu_0\left(I+ \epsilon_0 \frac{d\Phi}{dt}\right).<br /> <br />


what should i do then?
please advise...
 
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anyone can help me?
 
Pick an amperian surface, and calculate either current or electric flux through that surface. That will give you the value of the right side of the equation. Then solve for B.
 
nealh149 said:
Pick an amperian surface, and calculate either current or electric flux through that surface. That will give you the value of the right side of the equation. Then solve for B.

how to calculate flux through the that surface??
 

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