A long solid cylindrical conductor of radius carries a steady current whose volume…

MATHEMATICS · Subjective · ISC · Mathematics · Physics · Calculus

Problem

A long solid cylindrical conductor of radius R=2.0 cmR = 2.0\,\text{cm} carries a steady current whose volume current density varies with radial distance as J(r)=J0rRJ(r)=J_0\dfrac{r}{R}. If the total current in the conductor is 20 A20\,\text{A}, determine the current enclosed by a circle of radius 1.0 cm1.0\,\text{cm} coaxial with the conductor.

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