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Q.

A conducting wire bent in the form of a parabola y2=2x carries a current i = 2 A as shown in figure. This wire is placed in a uniform magnetic field B =-4K ^ tesla. The magnetic force on the wire (in newton)

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a

32i ^

b

-16i ^

c

-32i ^

d

16i ^

answer is B.

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Detailed Solution

At x=2, y2=2x=2×2 or y=2

Thus separation, AB = 4 cm

The force, F = Bi(AB)= 4×2×4 =32 N

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