Find the mutual inductance in the arrangement, when a small circular loop of wire of radius R is placed inside a large square loop of wire of side L (L R). The loops are coplanar and their centres coincide.

Question

Find the mutual inductance in the arrangement, when a small circular loop of wire of radius R is placed inside a large square loop of wire of side L (L >> R). The loops are coplanar and their centres coincide.

Accepted Answer

(1) M=(2√2μ₀R²)/L. Field at the centre of the square: B=(2√2μ₀I)/(π L), nearly uniform over the little circle. M=(Bπ R²)/I=(2√2μ₀R²)/L.

Find the mutual inductance in the arrangement, when a small circular loop of wire of radius R is placed inside a large square loop of wire of side L (L >> R). The loops are coplanar and their centres coincide.

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