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The electric current in a circular coil of four turns produces a magnetic induction 32 T at its centre. The coil is unwound and is rewound into a circular coil of single turn, the magnetic induction at the centre of the coil by the same current will be :8 T4 T2 T16 T

Question

The electric current in a circular coil of four turns produces a magnetic induction 32 T at its centre. The coil is unwound and is rewound into a circular coil of single turn, the magnetic induction at the centre of the coil by the same current will be :8 T4 T2 T16 T

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Solution

The magnetic field B at the center of a circular coil carrying current I is given by the formula B = μ0 * I * N / (2 * R), where N is the number of turns in the coil and R is the radius of the coil.

In this case, the magnetic field B1 for the coil with 4 turns is given as 32 T. When the coil is unwound and rewound into a single turn, the number of turns N becomes 1.

Since the magnetic field is directly proportional to the number of turns, the magnetic field B2 for the single turn coil will be B1 / 4 = 32 T / 4 = 8 T.

So, the magnetic induction at the center of the coil by the same current will be 8 T.

This problem has been solved

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