1.

The current density varies with radial distance r as\[j=a{{r}^{2}}\], in a cylindrical wire of radius R. The current passing through the wire between radial distance R/3 and R/2 is

A. \[\frac{65\pi a{{R}^{4}}}{2592}\]
B. \[\frac{25\pi a{{R}^{4}}}{72}\]
C. \[\frac{65\pi {{a}^{2}}{{R}^{3}}}{2938}\]
D. \[\frac{81\pi {{a}^{2}}{{R}^{4}}}{144}\]
Answer» B. \[\frac{25\pi a{{R}^{4}}}{72}\]


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