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MHT CET 2022 Physics question

PhysicsMoving Charges and MagnetismMHT CET 2022

A long wire carries a steady current. It is bent into a coil of one turn such that magnetic induction at centre is B, then same wire is bent to from a coil of smaller radius of n turns such that magnetic induction at centre is 'B'', then

Answer: (D)

Solution

Let the wire length be and current . One turn: , so and . For turns: , so . The field at the centre of an -turn coil is

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Question ID VK-093476