A long air-cored solenoid of length and radius has turns uniformly distributed along…

PHYSICS · Multi-part · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism

Problem

A long air-cored solenoid of length

50\,\text{cm}

and radius

1.0\,\text{cm}

has

500

turns uniformly distributed along its length. (i) Calculate the current required to establish a magnetic field of

4.0\,\text{mT}

at an interior point on its axis. (ii) The solenoid is now completely filled with an iron core of relative permeability

\mu_r=200

. Determine the new current that must be passed through the winding to maintain the same axial magnetic field of

4.0\,\text{mT}