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Two long coaxial insulated solenoids, S_1 and S_2 of equal lengths are wound one over the other as shown in the figure. A steady current "I" flow through the inner solenoid S_1 to the otherend B, which is connected to the outer solenoid S_2 through which the same current "I" flows inthe 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 the net magnetic field at a point (i) inside on the axis and (ii) outside the combined system. |
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Answer» SOLUTION :(i) Inside the axis - FIELD due to solenoid `S_1, B_1 = mu_0 n_1 I` and field due to solenoid `S_2, B_2 = mu_0 n_2I` Moreover, DIRECTIONS of `vec(B_1) and vec(B_2)` are mutually opposite, hence net magnetic field `B = B_1 - B_2 = mu_0 (n_1 - n_2) I` in the DIRECTION of `vec(B_1)` (II) Outside the combined system - Field due to both the solenoids is zero. Hence, net field is zero. 
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