Consider a non-conducting ring of radius r and mass m which has a total charge q distributed uniformly on it. The ring is rotated about its axis with an angular speed ω. (a) Find the equivalent electric current in the ring. (b) Find the magnetic moment μ of the ring. (c) Show that μ = q/2m l where l is the angular momentum of the ring about its axis of rotation.

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AB is a current carrying conductor in the plane of the paper as shown in the figure below. (i) What is the direction of the magnetic field produced by it at point ‘X’? Write the statement of the rule used to find the direction of field lines. (ii) If the polarity of the battery connected to the wire is reversed, how would the direction of the magnetic field be changed? (iii) Point ‘X’ is at a distance r1 and point ‘Y’ is at a distance r2 (r1

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For minimum flux the angle between the magnetic field and normal to the surface is