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Question: A circular coil carrying a certain current produces a magnetic field B<sub>0</sub> at its centre. Th...

A circular coil carrying a certain current produces a magnetic field B0 at its centre. The coil is now rewound so as to have 3 turns and the same current is passed through it. The new magnetic field at the centre is-

A

B

9 B0

C

B03\frac { \mathrm { B } _ { 0 } } { 3 }

D

3 B0

Answer

9 B0

Explanation

Solution

B = μ0Ni2(2π N)\frac { \mu _ { 0 } \mathrm { Ni } } { 2 \left( \frac { \ell } { 2 \pi \mathrm {~N} } \right) }

\ B µ N2