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Q.

A hollow cylinder having infinite length and carrying uniform current per unit length $λ$ along the circumference as shown in the figure below. Magnetic field inside the cylinder is

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a

$\frac{μ_{0} λ}{2}$

b

$μ_{0} λ$

c

$2 μ_{0} λ$

d

$n o n e$

answer is B.

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Detailed Solution

The cylinder is cut into two equal halfs, as shown in the figure below. Each half produces magnetic field inside is $\frac{μ_{0} λ}{2}$ . So,

$B = \frac{μ_{0} λ}{2} + \frac{μ_{0} λ}{2} = μ_{0} λ$

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A hollow cylinder having infinite length and carrying uniform current per unit length λ along the circumference as shown in the figure below. Magnetic field inside the cylinder is