The current density in a cylindrical wire of radius r = 4 . 0   mm is 1 . 0 × 10 6   A 2…

The current density in a cylindrical wire of radius r=4.0 mm is 1.0×106 A2 m2. The current through the outer portion of the wire between radial distances r2 and r is xπ A; where x is

Solution

Current =J× Area

=J×πR2-R22=Jπ3R24=106×π×3×4×10-342

π×3×164=12π A

Hence, the value of x=12.

Asked in: JEE Main 2022 (27 Jun Shift 2)

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