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COMEDK2022PhysicsMagnetic Effects of Current

A regular hexagon of side m which is a wire of length 24 ~m is coiled on that hexagon. If current in hexagon is I , then the magnetic moment,

Options

  1. A6 3 Im ^2
  2. B3 3 ~lm ^2
  3. C3 3 2 lm ^2
  4. D6 lm ^2

Correct answer

A. 6 3 Im ^2

Step-by-step solution

The magnetic moment of a planar current loop is given by = N I A , where N is the number of turns, I is the current, and A is the area of the loop. The total length of the wire is L = 24m . The perimeter of a regular hexagon with side length m is P = 6m . The number of turns N is the total length of the wire divided by the perimeter of one hexagon: N = L P = 24m 6m = 4 . The area A of a regular hexagon with side length m is given by: A = 3 3 2 m^2 . Substituting these values into the formula for magnetic moment: =

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