Question

An iron-core solenoid is 33 cm long and 1.9 cmin diameter, and has 690 turns of wire. The magnetic field inside the solenoid is 1.9 T when 51 A flows in the wire.What is the permeability μ at this high field strength?

μ=_____T⋅m/A?

Answer 1

Length L = 33 cm = 0.33 m

Diameter d = 1.9 cm

                 = 1.9 x10 ^-2 m

Number of truns N = 690

Current i = 51 A

Tha magnetic field inside the solenoid B = 1.9 T

We know B = $\mu$ n i

From this the permeability μ at this high field strength $\mu$ = B / n i

Where n = Number truns per unit length

              = N / L

              = 2090.9 truns / m

Substitute values you get $\mu$ = 1.781 x 10 ^-5 T m / A