An iron rod of diameter 2.6 cm and length 80.0 cm is to be inserted inside a long solenoid to make an electromagnet. The magnetic permeability of iron , ?v = 1.5E+3 ?0 . If the inductance is to be 155.0 mH, how many turns of wire will be needed for the solenoid?
The iron core can be assumed to simply amplify the solenoid's magnetic field. (I.e.: The permeability ?0? ?v)