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 $..........\,T$
A$8$
B$4$
C$2$
D$16$
JEE MAIN 2023, Easy
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C$2$
c $B =\frac{\mu_0 i }{2 R } \times 4$
$B ^{\prime}=\frac{\mu_0 i }{2 R ^{\prime}}$
$R ^{\prime}=4 R$
$B ^{\prime}=\frac{\mu_0 i }{8 R }$
$\frac{ B ^{\prime}}{ B ^{\prime}}=\frac{1}{16}$
$B ^{\prime}=2\,T$
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