Two conducting circular loops of radii R_₁ and R_₂ are placed in the same plane with their centers coinciding. If R_₁ >> R_₂, the mutual inductance M between them will be directly proportional to:

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 ___________.
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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 ____________.
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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 ___________.
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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.