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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

4 T

b

16 T

c

8 T

d

2 T

answer is D.

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Detailed Solution

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 As B=μ04i2R.....(1)

B'=μoi2R', here R'=4R.

B'=μoi8R....(2)

From (1) and (2).

B'=B16=2T

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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: