QJEEM22Ph43e8: JEE Main 2022 Physics - Class 12 JEEM22Ph43e8 Solution: The electric current in a circular coil of 2 turns produces a…

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QJEEM22Ph43e8: JEE Main 2022 Physics - Class 12 JEEM22Ph43e8 Solution: The electric current in a circular coil of 2 turns produces a…

The electric current in a circular coil of 2 turns produces a magnetic induction B₁ at its centre. The coil is unwound and in rewound into a circular coil of 5 tuns and the same current produces a magnetic induction B₂ at its centre. The ratio of $\frac{B_{2}}{B_{1}}$ is

Multiple Choice Options

A 52
B 254
C 54
D 252

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Accepted Answer

$B = \frac{n μ_{0} I}{2 R}$

$B_{1} = \frac{2 μ_{0} I}{2 R_{1}}$

$B_{2} = \frac{5 μ_{0} I}{2 R_{2}}$

$R_{2} = \frac{2 R_{1}}{5}$

$\Rightarrow \frac{B_{2}}{B_{1}} = \frac{5}{2} \times \frac{R_{1}}{R_{2}} = \frac{25}{4}$

QJEEM22Ph43e8: JEE Main 2022 Physics - Class 12 JEEM22Ph43e8 Solution: The electric current in a circular coil of 2 turns produces a…

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