Moderate

If magnetic field vector is B= (i + 2j +k ) and area vector is (2i + j + k) then flux related to this is:

Correct answer: B. 5 wb

  • A. 4 wb
  • B. 5 wb
  • C. 6 wb
  • D. 7 wb

Explanation

The flux (Φ) is given by the dot product of the magnetic field vector (B) and the area vector (A):Φ = B ⋅ AGiven that B = (i + 2j + k) and A = (2i + j + k), we can calculate the dot product:Φ = (i + 2j + k) ⋅ (2i + j + k) = 2i⋅i + 2j⋅2j + k.k = 2 + 2 + 1 = 5Therefore, the flux related to this is 5 wb (weber).

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Magnetic flux density and magnetic flux describe the strength of a magnetic field and the field passing through a surface. A charged particle moving through a magnetic field experiences a force perpendicular to its velocity and may follow circular or helical motion, depending on the angle between velocity and field.

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