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Question

If the magnetic field intensity (H) in a conducting region is given by the expression,

\(\rm H = x^2 \hat i + x^2 y^2 \hat j + x^2 y^2 z^2 \hat k\) A/m. The magnitude of the current density, in A/m2, at x = 1 m, y = 2 m, and z = 1 m, is

The correct answer is

12

For the steady field, \(\mathbf J=\nabla\times\mathbf H=(2x^2yz^2)\hat i-(2xy^2z^2)\hat j+(2xy^2)\hat k\). At (1,2,1), \(\mathbf J=4\hat i-8\hat j+8\hat k\,A/m^2\). Therefore \(|J|=\sqrt{4^2+8^2+8^2}=12\,A/m^2\).

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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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