Two ideal solenoids of radii R and 5R, respectively, have n turns per meter and

Question

Two ideal solenoids of radii R and 5R, 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 = 3R . 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

the magnetic field strength doesnt depend on the Radius

hence

B = B due to 5R + B due to R

B = uoni+uoni = 2uoni

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