Ex Two concentric coplanar circular loops made of wire

Last updated: 6/9/2023

Ex Two concentric coplanar circular loops made of wire resistance per unit length 10 m have d 0 2 m and 2 m A time varying potential difference 4 2 5 t volt is applied to the larger loop Calo current in the smaller loop Sol The magnetic field at the centre O due to the current in the larger loop is B Mol 2R Il p is the resistance per unit length then I potential difference 4 2 5t resistance 2nR p r R so the field B can be taken almost constant over the entire area of the smaller loop the flux linked with the smaller loop is Bx xr Ho 4 2 5t nr 2R 2nRp Induced emf e de Mox2 5 dt 4R p The corresponding current in the smaller loop is l then x2x R 4R p 1 2nrp 2 5 or R p B Ho 4 2 5t 2nRp 2R 8nRp 2 5x4x 10 0 1 8nx 1 104 1 25A V 4 2 51