Two ideal solenoids of radii R and 3R, respectively, have n turns per meter and

Question

Two ideal solenoids of radii R and 3R, respectively, have n turns per meter and each carries a current I. Both currents flow in the same direction. The small radius solenoid is placed inside the large radius solenoid so that their axes of symmetry are parallel and separated by a distance d = 2R . Neglecting any magnetic screening effects, express anaytically the magnetic field strength on the axis of the small-radius solenoid in terms of the quantities given above and the magnetic permeability of a vacuum, ?0.

Explanation / Answer

magnetic field strength due to a solenoid (B) =  0* n * I

since there are two solenoids along the same axis, magnetic field strength due to a solenoid becomes

(B) = 2*0* n * I

where n is number of turns per unit length ; I is current.

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