Question

# An iron-core solenoid is 33 cm long and 1.9 cmin diameter, and has 690 turns of...

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?

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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