A thin stiff insulatedmetal wire is bent into a circular loop with its two ends extending…

Physics · JEE Advanced · NTA ExamsMagnetic Effects of Current and Magnetism

A thin stiff insulatedmetal wire is bent into a circular loop with its two ends extending tangentially from the same point of the loop. The wire loop has mass m and radius r and it is in a uniform vertical magnetic field B0, as shown in the figure. Initially, it hangs vertically downwards, because of acceleration due to gravity g, on two conducting supports at P and Q. When a current I is passed through the loop, the loop turns about the line PQ by an angle θ given by
  1. tan q = prIB0/(mg)
  2. tan q = 2prIB0/(mg)
  3. tan q = prIB0/(2mg)
  4. tan q = mg/ (prIB0)

Answer

(A) tan q = p rIB 0 /( mg )

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