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The following four vector fields are given in Cartesian co-ordinate system. The vector field which does not satisfy the property of magnetic flux density is

1. y² aₓ + z² a_y + x² a_z
2. z² aₓ + x² a_y + y² a_z
3. x² aₓ + y² a_y + z² a_z
4. y² z² aₓ + x² z² a_y + x² y² a_z

Correct answer: x² aₓ + y² a_y + z² a_z

Solution

The correct option does not satisfy the condition of magnetic flux density because it does not have the appropriate divergence properties, specifically that the divergence of a magnetic field must equal zero. This means that the vector field must be solenoidal, which is not the case for the given option.

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