1.

Two long coaxical insulated solenoid's S_1 and S_2 of equal lengths are would one over the other as shown in figure. A steady current 'T' flows through the inner solenoid S_1 to the other end B, which is connected to the outer solenoid S_2 through which the same current flows in opposite direction so as to come out at end A. If n_1 and n_2 are the number of turns per unit length, find the magnitude and direction of net magnetic field at a point (i) inside on the axis and (ii) outside the combined system.

Answer»

Solution : Magnetic field, `B=mu_0nI`
Magnitude of NET magnetic field inside the combined system on the AXIS,
`B = B_1 – B_2`
`=mu_0n_1I-mu_0n_2I`
`=mu_0(n_1-n_2)I`Outside the combined system, net magnetic field is ZERO.


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