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Two coplanar circular loop of r_1\: \: and\: \: r_2  radius having current in opposite directions.Calculate magnetic field induction at centre of loop if no of turns are not same.

Option: 1

\frac{\mu _{0}I\times n}{4\pi r}


Option: 2

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


Option: 3

\frac{\mu _{0}I}{2}[\frac{n_1}{r_1}+\frac{n_2}{r_2}]


Option: 4

\frac{\mu _{0}I}{2}[\frac{n_1}{r_1}-\frac{n_2}{r_2}]


Answers (1)

best_answer

 If the number of turns are n_1\: \: and\: \: n_2 for loop 1 and 2 respectively

The current I are in opposite direction for both loops.

B_{cir}=\frac{\mu _{0}I}{2r}\times n\: \: \Rightarrow B_{net}= \vec{B_1}-\vec {B_2}

B_{net}=\frac{\mu _{0}I}{2}\left [ \frac{n_1}{r_1}-\frac{n_2}{r_2} \right ]

 

Posted by

Deependra Verma

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