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Class 12 › Physics › Moving Charges and Magnetism
CBSE2022Class Class 12 · Physics1 Marks · Mcq✅ Verified
A current passing through a circular coil of 2 turns produces a magnetic field of 8 T at its centre. The coil is rewound to have 4 turns and the current is doubled. The magnetic field at the centre of the new coil will be
A. 64 T
B. 32 T
C. 16 T
D. 8 T
✅ Answer & Solution
✅ Correct Answer: A
Initial: $n_1 = 2$, current $I_1$, radius $r_1$, $B_1 = 8$ T.
Final: $n_2 = 4$, current $I_2 = 2I_1$.
Since total wire length is same: $n_1 \cdot 2\pi r_1 = n_2 \cdot 2\pi r_2$
$$r_2 = \frac{n_1}{n_2} r_1 = \frac{r_1}{2}$$