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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?
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 = n i
From this the permeability μ at this high field strength = B / n i
Where n = Number truns per unit length
= N / L
= 2090.9 truns / m
Substitute values you get = 1.781 x 10 -5 T m / A
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