Question 93: Electromagnetic Induction

Question

A small square loop of side 'a' and one turn is placed inside a larger square loop of side b and one turn (b >> a). The two loops are coplanar with their centres coinciding. If a current I is passed in the square loop of side 'b', then the coefficient of mutual inductance between the two loops is :

Accepted Answer

$$B = \left[ {{{{\mu _0}} \over {4\pi }}{I \over {b/2}} 	imes 2\sin 45} ight] 	imes 4$$
$$\phi  = 2\sqrt 2 {{{\mu _0}} \over \pi }{I \over b} 	imes {a^2}$$
$$	herefore$$ $$M = {\phi  \over I} = {{2\sqrt 2 {\mu _0}{a^2}} \over {\pi b}} = {{{\mu _0}} \over {4\pi }}8\sqrt 2 {{{a^2}} \over b}$$
Option (a)

Answer

$${{{\mu _0}} \over {4\pi }}8\sqrt 2 {{{a^2}} \over b}$$

Answer

$${{{\mu _0}} \over {4\pi }}{{8\sqrt 2 } \over a}$$

Answer

$${{{\mu _0}} \over {4\pi }}8\sqrt 2 {{{b^2}} \over a}$$

Answer

$${{{\mu _0}} \over {4\pi }}{{8\sqrt 2 } \over b}$$

Electromagnetic Induction

A small square loop of side 'a' and one turn is placed inside a larger square loop of side b and one turn (b >> a). The two loops are coplanar with their centres coinciding. If a current I is passed in the square loop of side 'b', then the coefficient of mutual inductance between the two loops is :

Choose the correct answer: