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Two circular concentric loop of different radii r_1\: \: and\: \: r_{2} are arranged as shown in fig. Current in both the loop is in same direction.Calculate the magnetic field induction at centre of structure.

Option: 1

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


Option: 2

\frac{\mu _{0}i}{2\pi r}


Option: 3

\frac{\mu _{0}I}{2}[\frac{1}{r_1}+\frac{1}{r_2}]


Option: 4

\frac{\mu _{0}I}{2}[\frac{1}{r_1}-\frac{1}{r_2}]


Answers (1)

best_answer

B=\frac{\mu _{0}}{4\pi}\times 2\pi i\left [ \frac{1}{r_1}+\frac{1}{r_2} \right ]

if n(no. of turns are also given result would B=\frac{\mu _{0}i}{2}\left [ \frac{1}{r_1}+\frac{1}{r_2} \right ]

Posted by

Gautam harsolia

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