A long cylindrical conductor with large cross section carries an electric current distributed uniformly over its cross-section. Magnetic field due to this current is :
Text Solution
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For a long cylindrical conductor with uniform current distribution, apply Ampere's law to find the magnetic field.
At distance 
from the axis (inside the conductor, 
): 
(proportional to 
)
At the axis 
(minimum)
At the surface 
(maximum)
Analyzing the statements:
Maximum at ends and minimum at midpoint - FALSE. This describes behavior along the axis, but the magnetic field depends on radial distance, not axial position.
Maximum at the axis of the conductor - FALSE. The field is zero at the axis.
Minimum at the surface of the conductor - FALSE. The field is maximum at the surface.
Minimum at the axis of the conductor - TRUE. The field is zero at 
, making it the minimum.
(E) Same at all points in the cross-section - FALSE. The field varies from 0 at the axis to maximum at the surface.
Only D is correct.
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