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Coaxial Cable!

Consider a co-axial cable which consists of an inner wire of radius \(a\) surrounded by an outer shell of inner and outer radii \(b\) and \(c\) respectively. The inner wire carries a current \(I\) and outer shell carries an equal and opposite current. The magnetic field at a distance \(x\) from the axis where \(b<x<c\) is

\((a)\) \(\frac{\mu_{0} I(c^2 - b^2)}{2 \pi x(c^2 - a^2)}\)

\((b)\) \(\frac{\mu_{0} I(c^2 - x^2)}{2 \pi x(c^2 - a^2)}\)

\((c)\) \(\frac{\mu_{0} I(c^2 - x^2)}{2 \pi x(c^2 - b^2)}\)

\((d)\) \(0\)

Note by Advitiya Brijesh
4 years, 4 months ago

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This question is based on the application of Ampere's circuital law. Give it a try at least. :) Pranav Arora · 4 years, 4 months ago

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@Pranav Arora thnx buddy bt i had already done it... it was the question that i felt was good to be posted because i got stuck in this particular question!!!! Advitiya Brijesh · 4 years, 4 months ago

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@Pranav Arora with your help... :) Advitiya Brijesh · 4 years, 4 months ago

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hey... Is your AGE = 14 ...................?? Please Reply Vamsi Krishna Appili · 4 years, 4 months ago

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the answer will be C Farhan Masood Laskar · 4 years, 4 months ago

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8.02x, huh? Ahaan Rungta · 4 years, 4 months ago

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magnetic field due to inner wire: mu I / (2 pi x)

current between b and x: - I (x^2 - b^2) / (c^2 - b^2)

magnetic field due to current between b and x: - [mu I / (2 pi x)] [(x^2 - b^2) / (c^2 - b^2)]

magnetic field at x: [mu I / (2 pi x)] [(c^2 - x^2) / (c^2 - b^2)] which is C Ramon Vicente Marquez · 4 years, 4 months ago

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@Ramon Vicente Marquez Ah Ramon, I was waiting for Advitiya to post his attempt. You should not have given the solution. It would be a great experience for Advitiya if he solved this by himself. :) Pranav Arora · 4 years, 4 months ago

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@Pranav Arora i rarely give away full solutions. usually i just give hints. i just feel like giving the solution this time. Ramon Vicente Marquez · 4 years, 4 months ago

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@Ramon Vicente Marquez hints...this doesn't even require any hint!! Sudheesh Srivastava · 4 years, 4 months ago

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Sorry, option b)!!! Subhrodipto Basu Choudhury · 4 years, 4 months ago

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@Subhrodipto Basu Choudhury C Ramon Vicente Marquez · 4 years, 4 months ago

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I think it will be option c)!!! Subhrodipto Basu Choudhury · 4 years, 4 months ago

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Comment deleted May 21, 2013

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@Raja Metronetizen hmm.. :) Advitiya Brijesh · 4 years, 4 months ago

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