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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 inductio

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 :

Option: 1

16 \mathrm{~T}


Option: 2

2 \mathrm{~T}


Option: 3

8 \mathrm{~T}


Option: 4

4 \mathrm{~T}


Answers (1)

best_answer

\begin{aligned} & B=\frac{\mu_o i}{2 R} \times 4 \\ & B^{\prime}=\frac{\mu_0 i}{2 R^{\prime}} \\ & \mathrm{R}^{\prime}=4 \mathrm{R} \\ & \mathrm{B}^{\prime}=\frac{\mu_0{ }^i}{8 R} \\ & \frac{\mathrm{B}^{\prime}}{\mathrm{B}}=\frac{1}{16} \\ & \mathrm{~B}^{\prime}=2 \mathrm{~T} \end{aligned}

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