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Question

A long conducting cylinder having a radius ‘b’ is placed along the z axis. The current density is J = Jar3ẑ for the region r < b where r is the distance in the radial direction. The magnetic field intensity (H) for the region inside the conductor (i.e. for r < b) is

The correct answer is

\(\rm \frac{J_a}{5} r^4\)

A circular Amperian path of radius r encloses \(I_{enc}=\int_0^rJ_a\rho^3(2\pi\rho)\,d\rho=2\pi J_ar^5/5\). Thus \(H_\phi(2\pi r)=I_{enc}\) and \(\mathbf H=(J_ar^4/5)\hat a_\phi\) inside the cylinder.

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Important Questions from Magnetostatics

  1. In Faraday's Law application, current will be induced:

  2. A magnetic material has a hysteresis loop area of 0.4 J for each cycle. If the material is subjected to a frequency of 40 Hz, what is the total hysteresis loss per second?

  3. A magnet is kept in the medium of air surrounded by an iron ring. The magnetic lines of force from the magnet will be

  4. The magnetostatics highly relies on which property?

  5. What is the coercive magnetic force (H C) value of ceramic type of permanent magnetic material?

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