Home Physics Magnetism and Matter JEE Main 2023 - ( Magnetic Effects of Current ) A long straight wire of circular cross-secti…
Physics Magnetism and Matter JEE Main 2023 - ( Magnetic Effects of Current ) MCQ (Single Correct)

A long straight wire of circular cross-section (radius a) is carrying steady current I. The current I is uniformly distributed across this cross-section. The magnetic field is

A
inversely proportional to r in the region r < a and uniform throughout in the region r > a
B
directly proportional to r in the region r < a and inversely proportional to r in the region r > a
C
Zero in the region r < a and inversely proportional to r in the region r > a
D
uniform in the region r < a and inversely proportional to distance r from the axis, in the region r > a

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Text Solution

Verified by Experts
The correct answer is:
B

The formula to calculate the magnetic field inside the conducting wire is given by

...

The formula to calculate the magnetic field outside the conducting wire is given by

. . .

From equation , it can be concluded that the magnetic field is directly proportional to the radial distance inside the wire, whereas from equation , it can be concluded that the magnetic field is inversely proportional to the radial distance outside the wire.

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