A rectangular coil of length 0.12 m and width 0.1 m having 50 turns of wire is suspended vertically in a uniform magnetic field of strength The coil carries a current of 2A. if the plane of the coil is inclined at an angle of 30° with the direction of the field, the torque required to keep coil in stable equilibrium will be:

A conducting ring of radius r is placed in a varying magnetic field perpendicular to the plane of the ring. If the rate at which the magnetic field varies is x, the electric field intensity at any point of the ring is ____________.
Fill in the blank with the correct answer from options given below.

A 50 Hz ac current of crest value 1A flows through the primary of a transformer. If the mutual inductance between the primary and secondary be 0.5 H, the crest voltage in the is ___________.
Fill in the blank with the correct answer from the options given below.

A long solenoid of diameter 0.1 m has turns per meter. At the centre of the solenoid a coil of 100 turns and radius 0.01 m is placed with is axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to 0 A from 4 A in 0.05 s. If the resistance of the coil is then the total charge flowing through the coil during this time is ____________.
Fill in the blank with the correct answer from the options given below.

In a pair of adjacent coils, for a change of current in one of the coils from 0 A to 10 A in 0.25 s, the magnetic flux in the adjacent coil changes by 15 Wb. The mutual indutance of the coils is ___________.
Fill in the blank with the correct answer from the options given below.

A wire of irregular shape in figure (A) and a circular loop of wire in figure (B) are placed in different uniform magnetic fields as shown in the figures below. In figure (A), the magnetic field is perpendicular into the plane. In figure (B), the magnetic field is perpendicular out of the plane.

The wire in figure (A) is turning into a circular loop and that in figure (B) into a narrow straight wire. The direction of induced current will be ___________.
Fill in the blank with the correct answer from the options given below.