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WBJEEAn infinitely long hollow conducting cylinder with inner radius R/2R/2 and...
An infinitely long hollow conducting cylinder with inner radius R/2R/2 and outer radius RR carries a uniform current density along its length. The magnitude of the magnetic field, |→B||→B| as a function of the radial distance rr from the axis is best represented by
Solution:
For r<R2,B=0r<R2,B=0
$ For R2≤r<R,B=μ02[r−R22r]J For R2≤r<R,B=μ02[r−R22r]J$
$ For r>R,B=μ0i2πr i.e., B∝1r$
Hence graph (d) correctly depicts |→B| versus r graph.
$ For R2≤r<R,B=μ02[r−R22r]J For R2≤r<R,B=μ02[r−R22r]J$
$ For r>R,B=μ0i2πr i.e., B∝1r$
Hence graph (d) correctly depicts |→B| versus r graph.
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