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Two concentric coplanar circular loop of r_1\: \: and\: \: r_2 radii respectively having current I in opposite directions having n no. of turns each. Find magnetic induction at centre of structure.

Option: 1

\frac{\mu _{0}in}{2r}


Option: 2

\frac{\mu _{0}Ni}{4\pi r}


Option: 3

\frac{\mu _{0}i}{2}[\frac{1}{r_1}+\frac{1}{r_2}]\times n


Option: 4

\frac{\mu _{0}i}{2}[\frac{1}{r_1}-\frac{1}{r_2}]\times n


Answers (1)

best_answer

As we learnt

 

Concentric co-planar circular loops carrying current -

 

Opposite Direction

- wherein

 

 Because of single circular coil

B_{circ}=\frac{\mu _{0}I}{2r}\times n

if current in opp direction.

So B_{net}=\overrightarrow{B_1}-\overrightarrow{B_2}

B_{net}=\frac{\mu _{0}I}{2}\times n\left [\frac{1}{r_1}-\frac{1}{r_2} \right ]

 

Posted by

Ritika Harsh

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