Suppose we have two wire loops of same dimensions placed adjacent to each other.The first loop is connected to a a.c source,the medium inside first loop is air and The medium inside second loop is a laminated thin iron core which has higher magnetic permeability.The magnetic field due to first loop at the centre of second loop is B and it increases with the magnetic permeability.So the magnetic field magnitude increases significantly in second loop and is alternating as a sinusoidal function.the second loop offers almost zero resistance to the first loop,so the power supplied by the a.c source does not increase but the power stored in the core increases.This is defying conservation of energy since the output power is dependent on the permeability of medium and can be more than input power with high permeability cores as annealed iron which has a relative permeability of 200,000.How is energy conserved here,does the energy come from the magnetic core itself?wire loops setup

Any answer is appreciated.

Suppose we have two wire loops of the same dimensions placed adjacent to each other. The first loop is connected to an AC source, the medium inside the first loop is air and the medium inside the second loop is a laminated thin iron core which has higher magnetic permeability.

The magnetic field due to the first loop at the center of the second loop is B and it increases with the magnetic permeability. So the magnetic field magnitude increases significantly in the second loop and is alternating as a sinusoidal function. The second loop offers almost zero resistance to the first loop, so the power supplied by the AC source does not increase but the power stored in the core increases.

This is defying conservation of energy since the output power is dependent on the permeability of medium and can be more than input power with high permeability cores as annealed iron which has a relative permeability of 200,000. How is energy conserved here, does the energy come from the magnetic core itself?  wire loops setup

Any answer is appreciated.

Suppose we have two wire loops of same dimensions placed adjacent to each other.The first loop is connected to a a.c source,the medium inside first loop is air and The medium inside second loop is a laminated thin iron core which has higher magnetic permeability.The magnetic field due to first loop at the centre of second loop is B and it increases with the magnetic permeability.So the magnetic field magnitude increases significantly in second loop and is alternating as a sinusoidal function.the second loop offers almost zero resistance to the first loop,so the power supplied by the a.c source does not increase but the power stored in the core increases.This is defying conservation of energy since the output power is dependent on the permeability of medium and can be more than input power with high permeability cores as annealed iron which has a relative permeability of 200,000.How is energy conserved here,does the energy come from the magnetic core itself?wire loops setup

Suppose we have two wire loops of same dimensions placed adjacent to each other.The first loop is connected to a a.c source,the medium inside first loop is air and The medium inside second loop is a laminated thin iron core which has higher magnetic permeability.The magnetic field due to first loop at the centre of second loop is B and it increases with the magnetic permeability.So the magnetic field magnitude increases significantly in second loop and is alternating as a sinusoidal function.the second loop offers almost zero resistance to the first loop,so the power supplied by the a.c source does not increase but the power stored in the core increases.This is defying conservation of energy since the output power is dependent on the permeability of medium and can be more than input power with high permeability cores as annealed iron which has a relative permeability of 200,000.How is energy conserved here,does the energy come from the magnetic core itself?wire loops setup

Any answer is appreciated.