Answer :

(a) Number of turns in the coil (n) = 30


Radius of coil (r) = 12cm = 0.12m


Current in the coil (I) = 0.35A


Angle of dip (δ) = 45o


Magnetic fields due to current carrying coils (B) =


where, μ0 = Permeability of free space = 4π × 10-7TmA1


B =


= 5.49 × 10-5 T


Horizontal component of the earth’s magnetic field = B sinδ


= 5.49 × 10-5 T × sin45o


= 5.49 × 10-5 T × 0.707


= 3.88 × 10-5 T


(b) When the current in the coil is reversed, and the coil is rotated about its vertical axis by an angle of 90° in the anticlockwise sense looking from above, then the needle will reverse its original direction (i.e. the needle will point from East to West).


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