A small square loop of wire of side ℓ is placed inside a large square loop of wire of side L, where L = ℓ². The loops are coplanar and their centers coincide. The value of mutual inductance of the system is √x × 10⁻⁷ H, where x = ____.

Physics · Electromagnetic Induction · Mutual induction and L-C oscillations,transformer

JEE Mains 2024 31 Jan Morning Shift

A small square loop of wire of side ℓ is placed inside a large square loop of wire of side L, where L = ℓ². The loops are coplanar and their centers coincide. The value of mutual inductance of the system is √x × 10⁻⁷ H, where x = ____.