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(a) Like poles repel each other and so both the poles facing eather other shown in the image is north pole
(B)magnetic lines indicate the direction of magnetic field. And again, there cannot be two directions of magnetic field at one point and so magnetic lines never intersect each other.
(c) B=?0NI/2R . where N = Number of turns, I= Current in a coil and R = Radius of coil. This expression makes it clear, (i) magnetic field strength is inversely proportional to the radius of the coil (ii) magnetic field is directly proportional to the number of turns of the coil (iii) magnetic field is directly propoprtional to the strength of the current flowing in the coil.
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