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Q.

AB is a resistanceless conducting rod which forms a diameter of a conducting ring of radius r rotating in a uniform magnetic field B as shown in figure. The resistors R1 and R do not rotate. Then the current X through the resistor R1 is

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a

Bωr22R1

b

Bωr22R2

c

Bωr22R1R2R1+R2

d

Bωr22R2+R2

answer is A.

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Detailed Solution

The equivalent diagram isThe induced emf across the centre and any point on the circumference ise⇀=12Bωl2=Bωr22Current through R1=Bωr22R1
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AB is a resistanceless conducting rod which forms a diameter of a conducting ring of radius r rotating in a uniform magnetic field B as shown in figure. The resistors R1 and R do not rotate. Then the current X through the resistor R1 is