A wire is wound on a long rod of material of relative permeability to make a solenoid . If the current through the wire is A and number of turns per unit length is , then magnetic field inside the solenoid is:
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
As the magnetic field inside a solenoid is B = μ n I , where μ = μ r ⋅ μ 0 , μ 0 is the vacuum permeabilty ( μ 0 = 4 π × 1 0 − 7 T ⋅ m / A ), n is the number of turns per unit lenght of the solenoid and I is the intensity of the electric current circulating through the wire.
Plugging μ r = 4 0 0 0 ; n = 4 0 0 0 ; I = 5 A into the equation, we get B = 4 0 0 0 × 4 π ∗ 1 0 − 7 T ⋅ m / A × 4 0 0 0 m − 1 × 5 A = 3 2 π T ≈ 1 0 0 . 5 3 1 T