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E) at the axis of the infinitely long solenoid
where N – the number of wire coils in the solenoid; L – the length of the solenoid; n 0 – the quantity of coils on the unit of solenoid length. The superposition principle: the magnetic field created with one current is independent from positions of other currents. Then the resultant vector of magnetic intensity is a vector sum of magnetic intensity vectors of individual currents:
therefore: 1) the direction of the resultant vector is defined by parallelogram rule of the vectors’ additions; 2) the magnitude of the resultant vector is defined with cosine theorem:
where a – angle between the vectors. The relation between magnetic induction
where m0=4p× 10–7 H/m – permeability of vacuum; m – magnetic permeability (for air m=1).
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