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Q.

The electric current in a circular coil of four turns produces a magnetic induction 32 T at its center. The coil is unwound and is rewound into a circular coil of single turn, the magnetic induction at the center of the coil by the same current will be:

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a

8 T

b

2 T

c

4 T

d

16 T

answer is D.

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Detailed Solution

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$As B = \frac{μ_{0} (4) i}{2 R} . . . . . (1)$

$B^{'} = \frac{μ_{o} i}{2 R^{'}}, here R^{'} = 4 R .$

$B^{'} = \frac{μ_{o} i}{8 R} . . . . (2)$

From (1) and (2).

$B^{'} = \frac{B}{16} = 2 T$

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