The electric current in a circular coil of four turns produces a magnetic induction 32 T at its centre. [2023]

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Solution

Q.
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 [2023]

1 8 T

2 4 T

3 2 T

4 16 T

Ans.
(3)

$B = \frac{μ_{0} i}{2 R} \times 4 and B' = \frac{μ_{0} i}{2 R'}$

$For R' = 4 R \Rightarrow B' = \frac{μ_{0} i}{8 R}$

$\frac{B'}{B} = \frac{1}{16} \Rightarrow B' = 2 T$

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