A Rowland ring of mean radius 15 cm has 3500 turns of wire wound on a ferromagnetic core of relative permeability 800. What is the magnetic field B in the core for a magnetising current of 1.2 A?
A Rowland ring of mean radius 15 cm has 3500 turns of wire wound on a ferromagnetic core of relative permeability 800. What is the magnetic field B in the core for a magnetising current of 1.2 A?

Answer-

Mean radius of the Rowland ring is given = 15 cm

Number of turns = 3500

Relative permeability of the core is given by μr = 800

Magnetizing current is given by I = 1.2 A

Magnetic field at the core is given by the relation –

\[B=\frac{{{\mu }_{r}}{{\mu }_{0}}IN}{2\pi r}=\frac{800\times 4\pi \times {{10}^{-7}}\times 1.2\times 3500}{2\pi \times 0.15}\]

\[B=4.48T\]

The magnetic field at the core is 4.48 T.